A burst pipe fills a basement with 37 in. of water. A pump empties the water at a rate of 1.5 in./hr. The water level h, in inches, after t hours is represented by h = 37 - 1.5t. How long until the water is drained from the basement?

Answers

Answer 1

The time until the water is drained from the basement is 24.67 hours.

How to calculate the time?

From the information, it was stated that the burst pipe fills a basement with 37 in. of water and a pump empties the water at a rate of 1.5 in./hr.

Also, the water level h, in inches, after t hours is represented by h = 37 - 1.5t. In this case, for the water to be drained, it'll be at zero. This will be illustrated as:

37 - 1.5t = 0

1.5t = -37

Divide.

t = 37 / 1.5

t = 24.67 hours.

The time is 24.67 hours.

Learn more about time on:

brainly.com/question/17146782

#SPJ1


Related Questions

Based on the graph, how many distinct real number
solutions does the equation x³ + 6x² + 12x +8=0
have?
O no real number solutions
O one real number solution
O two real number solutions
O three real number solutions

Answers

Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

How many solutions the equation has?

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

Learn more about cubic equations:

https://brainly.com/question/20896994

#SPJ1

The exponential model A=302.5e^0.0211 describes the​ population, A, of a country in​ millions, t years after 2003. Use the model to determine the population of the country in 2003.

Answers

The population of the country in 2003 is 302.5 million

How to determine the population of the country in 2003.

From the question, we have the following parameters that can be used in our computation:

Exponential model, A = 302.5e^0.0211t

Where i is the number of years after 2003

In the year 2003, the value of t is 0

i.e. 0 years after 2003

So, we have

A = 302.5e^(0.0211 * 0)

Evaluate the products

A = 302.5 * 1

So, we have the following result

A = 302.5

Hence, the population is 302.5 million

Read more about exponential models at

https://brainly.com/question/27161222

#SPJ1

In the figure, A.ABC is congruent to AADC t the square ABCD is dilated by a factor of 2 to form ABCD, what
ASCO to the area of ABCD?
A 2:1
B 3:1
c. 4:1
d 5:1

Answers

Answer:

C. Trust me on this one, it is an easy one.

The last time it placed an order for ingredients, Sweet Treats Bakery ordered 1,090 kilograms of sugar. This time, the bakery is ordering 654 kilograms. What is the percent of the decrease in the size of the sugar order?

somebody hwelp pwease

Answers

Answer:

40% decrease

Step-by-step explanation:

[tex]\frac{1090-654}{1090}[/tex] = .4  x 100 to make a percent equals 40%

Answer:There is no decrease from 2,820 kilograms to 2,820 kilograms.

The percent of decrease in the size of the sugar order is 0%.

Step-by-step explanation:

La duración de las llamadas telefónicas de larga distancia realizadas desde una central telefónica tiene distribución normal con media de 130 segundos y desviación estándar de 30 segundos. Si en un día cualquiera se realizaron 500 llamadas telefónicas desde esta central, ¿cuál es la probabilidad que la duración total de estas llamadas supere las 18 horas? Considere independencia en la duración de las llamadas.

El valor de la probabilidad es: ______ (escriba su respuesta con tres decimales)

Answers

The probability that the total duration of the 500 calls is greater than 18 hours, using the normal distribution, is of:

0.618 = 61.8%.

Normal Probability Distribution

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for n instances of a normal variable, the mean is of [tex]\mu n[/tex] and the standard deviation is of [tex]\sigma\sqrt{500}[/tex]

Hence, for the total duration of the 500 calls, in seconds, the mean and the standard deviation are given as follows:

[tex]\mu = 500 \times 130 = 65000, \sigma = 30\sqrt{500} = 670.82[/tex]

Each hour has 3600 seconds, hence the number of seconds in 18 hours is given as follows:

3600 x 18 = 64800.

The probability that the total time is greater than 18 hours is one subtracted by the p-value of Z when X = 64800, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Z = (64800 - 65000)/670.82

Z = -0.3.

Z = -0.3 has a p-value of 0.382.

1 - 0.382 = 0.618 = 61.8% probability.

Translation

The problem says that:

Telephone calls are normally distributed with mean of 130 seconds and standard deviation of 30 seconds.A sample of 500 calls is taken.The problem asks for the probability that the total duration of these calls is greater than 18 hours.Calls are independent.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

Triangle EFG is similar to triangle HIJ. Find JH. Round your answer to
the nearest tenth if necessary. Figures are not drawn to scale.

Answers

The length of the side JH in the triangle ΔHIJ is 97.9.

We are given two triangles. The vertices of the first triangle are E, F, and G. The vertices of the second triangle are H, I, and J. The triangles ΔEFG and ΔHIJ are similar to each other. The lengths of the sides FG, GE, and IJ are 12, 25, and 47, respectively. We need to find the length of the side, JH. The figure of the triangles is attached below.

Let the length of the side JH in the triangle ΔHIJ be represented by the variable "x". The side IJ is proportional to the side FG. Let the constant of proportionality be "k".

IJ ∝ FG

IJ = k*FG

k = IJ/FG

k = 47/12

The side JH is proportional to the side GE.

JH = k*GE

x = (47/12)*25

x = 97.9

Hence, the length of the side JH is 97.9 units.

To learn more about triangles, visit :

https://brainly.com/question/2773823

#SPJ1

19. Barney divides a rectangle into fourths.
Show two ways he could do this. That’s the space or something in the picture

Answers

Answer:

slice it in the middle in the top and bottom or do it corner to corner.

Step-by-step explanation:

1. have 2 braincells

2. put them toghether and think.

Given: x-5> -10.
Choose the solution set.

Answers

The solution set. for the given inequality : x-5> -10. is (-5, ∞]

An inequality is a relationship that shows a non-equal comparison between two numbers or mathematical expressions.

We need to find the solution set for  x-5> -10.

x - 5 > - 10

x > -10 + 5

x > -5

The solution set = (-5, ∞]

Therefore, the  solution set. for the given inequality : x-5> -10. is (-5, ∞]

To learn more about linear inequalities refer here

https://brainly.com/question/25275758

#SPJ1

Given (x – 7)2 = 36, select the values of x :x = 13 x = 1 x = –29 x = 42

Answers

The solution to the equation given as (x - 7)² = 36 are x = 1 and x = 13

How to determine the values of x?

From the question, the equation is given as

(x - 7)² = 36

To start with, we take the square roots of both sides

This gives

x - 7 = ±6

Add 7 to both sides of the equation

So, we have

x = 7 ± 6

Evaluate the like terms

x = 1 and x = 13

Hence, the values of x are x = 1 and x = 13

Read more about equations at

https://brainly.com/question/2476251

#SPJ1

Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.

slope: −43, ordered pair: (−4,1)

Answers

Answer:

[tex]y=-43x-173[/tex]

Step-by-step explanation:

[tex]y+1=-43(x+4) \\ \\ y+1=-43x-172 \\ \\ y=-43x-173[/tex]

Please help!


You are playing a game where you must spin a spinner that is numbered 1–8 on equal parts. What is the probability that you would get an odd number twice in a row?


25%

50%

12.5%

6.25%

Answers

The probability that your would get an odd number twice when the rolling is 1-8 is 12.5%

Probability is the chance of occurrence of an even (E) Over a period of time. That is, it is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

How to get the probability of the spinning?

From the analysis, the spinning is done twice from numbers 1-8

this means that in ever row, each number appears double.

The sample size is 8x8=64

1,1     1,2     1,3    1,4     1,5    1,6    1,7    1,8

2,1    2,2    2,3    2,4    2,5   2,6   2,7   2,8  

3,1     3,2    3,3   3,4     3,5   3,6   3,7   3,8

4,1    4,2    4,3   4,4    4,5   4,6    4,7   4,8

5,1      5,2   5,3   5,4     5,5    5,6    5,7  5,8

6,1      6,2    6,3  6,4     6,5    6,6   6,7   6,8

7,1      7,2     7,3   7,4    7,5    7,6   7,7  , 7,8

8,1     8,2     8,3  ,,8,4 ,,, 8,5 ,,8,6  8,7,,, 8,8

The required outcome is 8

These outcomes are

1,1  2,2   3,3   4,4   5,5   6,6  7,7  8,8=8 outcomes

Probability of and event is

P=[tex]\frac{number of required outcome}{number of possible outcome}[/tex]

P(E)=[tex]\frac{8}{64}[/tex]

P(E)=[tex]\frac{1}{8}[/tex]

Learn more about the probability brainly.com/question/11234923?

#SPJ1

Answer: 25%

Step-by-step explanation:

You have 4/8 chances of getting an odd number on the spinner, which equals 1/2, or 50%. Now if you are going to get another odd number, you have an additional 1/2 (half your chances) or 50% of a chance of getting it after you get the first odd number. This means you must mutliply these chances. 1/2x1/2 which is 1/4 = 25%

Griffin wants to go hiking, but the weather is not cooperating. Right now, there is 2 inches of snow on the ground and snow is falling at a rate of 0.25 in/hr. (a) Write the linear equation that represents the represents the total amount of snow, y, after x amount of hours. (b) How much snow will be on the ground after 4 hours? You must use your equation above to solve, and you must show all of your work. (c) If Griffin does not want to be hiking when there is 6 inches of snow on the ground, how long does he have to complete his hike? Do you think he will finish his hike in time? You must use your equation above to solve, and you must show all of your work.

Answers

a) The linear function is:

y = 2 + 0.25x.

b) The amount of snow on the ground after 4 hours will be of 3 inches.

c) The time that he has to complete the hike is of 16 hours, which is enough to finish the hike, as they don't take this long.

What is a linear function?

The slope-intercept representation of a linear function is presented by the rule as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the unit rate of change of the output y by the input x.b is the y-intercept of the function, which is the numeric value of the output y when the input x assumes a value of zero.

In this problem, the values of these coefficients are given as follows:

b = 2, which is the initial amount of snow on the ground.m = 0.25, which is the hourly rate of snow.

Hence the equation is:

y = 2 + 0.25x.

After four hours, the amount of snow on the ground will be of:

y = 2 + 0.25(4) = 2 + 1 = 3 inches.

The time until the amount reaches 6 inches is of:

2 + 0.25x = 6

0.25x = 4

x/4 = 4

x = 16 hours.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

6 eggs in 7 months Remember to write your answer with the unit rate per something. Round to the hundredths place if necessary. PLS HELP

Answers

The unit rate which correctly corresponds to.the given rate; 6 eggs in 7 months is; 0.86 eggs per month.

What is a unit rate?

A unit rate as the name implies is one in which case a given quantity is expressed in terms of one unit of the other quantity.

Such units are expressed as; a per b.

On this note, since the given rate is; 6 eggs in 7 months.

It follows that the rate can be expressed as;

6 eggs / 7 months

= 6/7 eggs per month.

= 0.85714 eggs per month.

And ultimately, when rounded to the nearest hundredth; we have; 0.86 eggs per month.

Read more on unit rates;

https://brainly.com/question/4895463

#SPJ1


Y is inversely proportional to the square of x. If Y = 5 when x = 3, then Y=1 4/5
, when x is.



Answers

[tex]\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies inversely to }x^2}{y=\cfrac{k}{x^2}}\hspace{5em}\textit{we also know that} \begin{cases} y=5\\ x=3 \end{cases} \\\\\\ 5=\cfrac{k}{(3)^2}\implies 5=\cfrac{k}{9}\implies 45=k\hspace{5em}\boxed{y=\cfrac{45}{x^2}} \\\\\\ when~y=1\frac{4}{5}\textit{ what is "x"?}\implies 1\frac{4}{5}=\cfrac{45}{x^2}\implies \cfrac{9}{5}=\cfrac{45}{x^2} \implies 9x^2=(5)(45) \\\\\\ x^2=\cfrac{(5)(45)}{9}\implies x^2=25\implies x=\sqrt{25}\implies {\Large \begin{array}{llll} x=5 \end{array}}[/tex]

Suppose you know that f(x) is an odd function on the domain of all real numbers and that the function is concave up on the intervals 0 < x < 3 and 5 < x and concave down on the interval 3 < x < 5.
List ALL intervals on which the function f(x) is concave up and ALL intervals on which the function f(x) is concave down; explain how you know these to be correct

Answers

The intervals for the concavity of the odd function are given as follows:

Concave down: x < -5, -3 < x < 0, 3 < x < 5.Concave up: -5 < x < -3, 0 < x < 3, x > 5.

What are even and odd functions?

The definition of even and odd functions depends on the relation between f(x) and f(-x), as explained as follows:

In even functions, we have that the statement f(x) = f(-x) is true for all values of x.In odd functions, we have that the statement f(-x) = -f(x) is true for all values of x.If none of the above statements are true for all values of x, the function is neither even nor odd.

In this problem, we have that the function is odd, hence the following statement is true:

f(-x) = -f(x) for all values of x.

This means that the concavity intervals are exchanged, hence:

f(x) is concave down on -3 < x < 0, as it is concave up of 0 < x < 3.f(x) is concave down on x < -5, as it concave up on x > 5. f(x) is concave up on -5 < x < -3, as it is concave down of 3 < x < 5.

More can be learned about even and odd functions at https://brainly.com/question/13048723

#SPJ1

The values of a and r in the series 3 + 12 + 48 + are

a. a = 3, r = 4 c. a = 3, r = –4
b. a = 4, r = 3 d. a = 4, r = –3

Answers

Option a is correct.

The first term, a is 3;

Common ratio, r = +4;

What is Geometric Series?

The total of a geometric sequence's finite or infinite terms is known as a geometric series. The analogous geometric series is a + ar + ar2 +..., arn-1 + for the geometric sequence a, ar, ar2,..., arn-1,... The word "series" is known to mean "sum." The geometric series specifically refers to the total of phrases with a common ratio between every pair of neighboring terms. Geometric series can be of two different types: finite and infinite.

In the given question, we have:

The series: 3 + 12 + 48 +

So, here the first term (a) = 3;

The second term = +12;

and, we know that the common ratio in the geometric series is the ratio of the second term and the first term.

So,

Common ratio, r = [tex]\frac{12}{3}[/tex]

r = 4;

so, The common ratio will be the same everywhere. So, It will be 4 in all the cases.

And, The first term, a is 3;

Hence,

Option a is correct.

The first term, a is 3;

Common ratio, r = +4;

To learn more about the Geometric series, visit:

https://brainly.com/question/24643676

#SPJ1

Need answers for these questions.

Answers

The future value of $8904.56 compounded semi annually is $13,468.95 The interest earned is approximately $4,564.39

The future value of $8904.56 compounded continuously is $66,185.90.

The interest earned is approximately $57,281.34.

What are the future values and the interests?

When an investment is compounded semi annually, it means that both the amount that was invested and the interest that has already been earned increases in value twice in a year.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value P = Present value R = semi annual interest rate = annual interest rate / number of compounding = 6% / 2 = 3%m = number of compoundingN = number of years

FV = 8904.56 x 1.03^(7 x 2) = $13,468.95

Interest = future value - amount invested

$13,468.95 -  $8904.56 = $4,564.39

When an amount is compounded continusoly, it increases in value infinitely over the investment time horizon.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rate

FV = 8904.56 x e^0.06 x 7 = $66,185.90

Interest = future value - amount invested

$66,185.90 - 8904.56 = $57,281.34

To learn more about future value, please check: https://brainly.com/question/18760477

#SPJ1

In triangle XYZ, m∠Y = 43.85° and m∠Z = 38.6°. Determine the measure of the exterior angle to ∠X.

25.65°
41.25°
82.45°
97.55°

Answers

The measure of the exterior angle to triangle X is D. 97.55°.

How to calculate the angle?

It is important to note that the sum of the angles in a triangle is 180°.

In this case, triangle XYZ, m∠Y = 43.85° and m∠Z = 38.6.

The exterior angle to X will be:

= Total angle - (43.85 + 38.6)

= 180 - 82.45

= 97.55°

In conclusion, the correct option is D.

Learn more about triangles on:

brainly.com/question/17335144

#SPJ1

Answer:

I got the answer d when I took the test

Step-by-step explanation:

I hope this helps...

Stanley thinks of a positive number, n, which is less than 1. He adds this number to its reciprocal and gets 2.05. Work out the value of n. Give your answer as a fraction in its simplest form.​

Answers

The value of n is given by either 4/5 or 16/25.

Given that the positive number is n which is n<1.

Reciprocal of the number is = 1/n

Addition of the number and the reciprocal is 2.05.

So the suitable equation for this,

n + 1/n = 2.05

[tex]n^2+1=\frac{41}{20}n\\20n^2-41n+20=0\\n=\frac{41\pm\sqrt{1681-1600}}{40}=\frac{41\pm9}{40}=\frac{50}{40},\frac{32}{50}=\frac{4}{5},\frac{16}{25}[/tex]

So the number can be either 4/5 or 16/25.

To know more about Equation refer to:

https://brainly.com/question/25976025

#SPJ9

In Aurora’s candy box, of the candies are strawberry flavored and are chocolate flavored.
What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?

Answers

The fraction of strawberry and chocolate flavored candies that Aurora has in her box is 5/4

How to calculate the fraction?

From the information illustrated, 30 of the candies are strawberry flavored and 24 are chocolate flavored.

Therefore, to get the fraction, we have to divide them. This will be illustrated as:

= Number of strawberry candies / Number of chocolate candies

= 30 / 24

= 5/4

The fraction is 5/4.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Complete question

In Aurora’s candy box, 30 of the candies are strawberry flavored and 24 are chocolate flavored. What is the fraction of strawberry and chocolate flavored candies that Aurora has in her box?

20 points and brainliest <3 (added photo)

Answers

The measure of angles are

∠a = 48 degrees, it is an acute angle∠b = 140 degrees, it is an obtuse angle∠c = 324 degrees, its a reflex angle

The sum of angles around a point is equal to 360 degrees

The consider the angle a

The equation will be

∠a + 312 = 360 degrees

∠a = 360 - 312

∠a = 48  degree

The angle a is less than 90 degrees then it is an acute angles

Consider the angle b

∠b + 220 = 360

∠b = 360 -220

∠b = 140 degrees

Angle b is greater than 90 degrees and less than 180 degrees then it is an obtuse angle

Consider the angle c

∠c + 36 = 360

∠c = 360 - 36

∠c = 324 degrees

Angle c is grater than 180 degrees and less than 360 degrees then it  is a reflex angle

Hence, the measure of angles are

∠a = 48 degrees, it is an acute angle∠b = 140 degrees, it is an obtuse angle∠c = 324 degrees, its a reflex angle

Learn more about angles here

brainly.com/question/10670859

#SPJ1

Help please! 15 points!!!!! give me an answer!!!!!




Billy has 15 apples he eats 3 ands sells 4 for $4 dollars each, How many apples are left. And what's Billy's total profit at the end of the day?



Answers

Answer:

Step-by-step explanation:

7*5

Answer:

he got 8 apples left and made a profit of 16

Step-by-step explanation:

The penguins at the zoo eat 2 5/8 pounds of fish each day. The zookeeper bought 5 1/4 pounds of fish. How many days will the fish last?

Answers

2 5/8 = 21/8
5 1/4 = 21/4 = 42/8
42 is double 21 so it will last 2 days

Complete the table representing a linear function.

Answers

Answer:

x      y

1      0

2     10

5     40

10   90

Step-by-step explanation:

In a linear function, every time x is increased by 1, y is increased by a set amount. The only two complete rows in the table are when x = 1 and x = 5. x is increased four times in that interval while y has increased by 40(40 - 0). This means that every time x increases by 1, y increases by 10(40/4).

Therefore, when x is 2, y will be 10.

To get to ninety, 10 will needed to be added to 0(when x=1) 9 times. 1 + 9 is 10, so x = 10 when y = 90.

Answer:

Step-by-step explanation:

(1,0)   (5,40)

Using these coordinates we find the line equation y=mx+b:

[tex]\displaystyle\\m=\frac{y_2-y_1}{x_2-x_1} \\\\x_1=1\ \ \ \ \ x_2=5\ \ \ \ \ y_1=0\ \ \ \ y_2=40\\\\m=\frac{40-0}{5-1} \\\\m=\frac{40}{4} \\\\m=10\\\\Thus,\ y=10x+b \ \ \ \ (1)\\[/tex]

We substitute the value of coordinate (1,0) into equation (1):

[tex]0=10(1)+b\\\\0=10+b\\\\-10=b\\\\Thus, \ b=-10\\\\Hence,\\\\ y=10x-10\\\\x=2\\\\y=10(2)-10\\\\y=20-10\\\\y=10\\\\Thus,(2,10)\\\\y=90\\\\90=10x-10\\\\100=10x[/tex]

Divide both parts of the equation by 10:

[tex]10=x\\\\Thus, (10,90)[/tex]

   x   |    y

-----------------

   1    |   0    

------------------

   2   |   10

------------------

   5   |   40

------------------

  10   |  90

José is climbing a mountain. Using a rope, José climbs down from the top of a steep cliff for 4 minutes at a rate of 12.2 feet per minute. He then climbs back up for 10 minutes at a rate of 3.6 feet per minute. How far from the top of the cliff is he after 14 minutes?

Enter the correct answer in the box.

Please help this is due tomorrow

Answers

The distance from the top of the cliff that Jose is after 14 minutes is 12.8 feet downward.

What is an elevation?

An elevation simply means the height above sea level.

In this case, José climbs down from the top of a steep cliff for 4 minutes at a rate of 12.2 feet per minute. The total feet will be:

= 12.2 × 4

= 48.8 feet

He then climbs back up for 10 minutes at a rate of 3.6 feet per minute. This will be:

= 3.6 × 10

= 36 feet.

Therefore, the change in elevation will be:

= Elevation up - Elevation down

= 36 - 48.8

= 12.8 feet.

Learn more about elevation on:

brainly.com/question/27243378

#SPJ1

If
a + 86 = 48,
what is
a − 86?

Answers

Answer:-48

Step-by-step explanation:

a + 85 = 48

first we need to find what a

86-48=a

a=38

now we calculate

a-86?

38 - 86 = -48

Answer:

a - 86 = -124

Step-by-step explanation:

a + 86 = 48

a = 48 - 86

a = -38

Then:

a - 86 = -38 - 86

= -124

Pleas help congruent, triangles, and classifying and solving for sides/angels

Answers

8. The value of x is 9.

9. The value of x is 6.

What are congruent triangles?

Two triangles are congruent if all the corresponding sides and corresponding angle are equal.

8.

In the given triangle ∠A=(3x-4)°, ∠B=(13x+2)° and ∠C=(5x-7)°

The sum of all three angles of a triangle is 180°,

Implies that,

∠A+∠B+∠C=180°

3x-4+13x+2+5x-7=180

21x-9=180

21x=189

x=9

9.

In the given triangle, ∠A=(7x+1)°, ∠B=(19x-18)° and ∠C=(10x-9)°

The sum of all three angles of a triangle is 180°,

Implies that,

∠A+∠B+∠C=180°

7x+1+19x-18+10x-9=180

36x-26=180

36x=216

x=6

To know more about Congruent triangle on:

https://brainly.com/question/11034038

#SPJ1

For questions 9-11, find the values of x and y if l || m.

Answers

The values of x and y using angle relationships are as follows:

x = 9, y = 13x = 22, y  = 15x = 7, y = 24

How to find angles in parallel line cut by a transversal?

When parallel lines are cut by a transversal, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles.

Therefore, the angle relationship can be used to find the value of x and y in the diagram.

In the diagram, l and m are parallel lines and are cut by a transversal line.

Therefore,

10.

10x - 17 = 8x + 1(alternate exterior angles are congruent)

10x - 8x = 1 + 17

2x = 18

x = 18 / 2

x = 9

8x + 1 + 6y + 29  = 180(sum of angles on a straight line is 180 degrees)

72 + 1 + 29 + 6y = 180

102 + 6y = 180

6y = 180 - 102

6y = 78

y = 78 / 6

y  = 13

11.

7x - 30 = 5x + 14(Corresponding angles)

Corresponding angles are congruent.

7x - 5x = 14 + 30

2x = 44

x = 44 / 2

x = 22

3y + 11 + 7x - 30 =  180(sum of angles on a straight line)

3y + 11 + 7(22) - 30 =  180

3y + 11 + 154 - 30 = 180

3y = 180 - 11 - 154 + 30

3y = 45

y = 45 / 3

y = 15

12.

7y - 23 = 23x - 16 (vertically opposite angles)

7y - 23x = 7

8x - 21 + 23x - 16 = 180 (same interior angles are supplementary)

31x  - 37 = 180

31x = 180 + 37

31x = 217

x = 217 / 31

x = 7

7y - 23(7) = 7

7y = 7 + 161

7y = 168

y = 168 / 7

y = 24

learn more on angles here: https://brainly.com/question/9871351

#SPJ1

(9t²-t-6)(9t² +9t - 1)

Help!

Answers

Answer:

we can't give an answer if there's not explanation of which "t" is

what is 2 1/2 + 1 1/8 + 1 1/4 - 1 1/2

Answers

Answer:

27/8 or 3.375 or 3 3/8

Step-by-step explanation:

Other Questions
I really need help on this one like asap so if someone can help me i'll be very happy. the question is Determine which equation is false, based on the solution set S:{2}. 7 = 6p 5 4t = 8 3(3c + 1) = 21 5m + 8 = 16 how do find 1/4 in a number line Let f and g be differentiable functions. If g and f are inverses of each other,g(-4)= 7, and f'(7) = 2, then g'(-4) =Select one answerA -2B -1/2C 1/2D 2 answer please Read the following poem and answer the question that follows.A Bird Came Down the Walk (328) by Emily Dickinson A bird came down the walkHe did not know I sawHe bit an angle-worm in halvesAnd ate the fellow, raw,And then he drank a dewFrom a convenient grassAnd then hopped sidewise to the WallTo let a beetle passHe glanced with rapid eyesThat hurried all aroundThey looked like frightened beads, I thoughtHe stirred his velvet headLike one in danger, cautious,I offered him a crumbAnd he unrolled his feathersAnd rowed him softer homeThan oars divide the ocean,Too silver for a seamOr butterflies, off banks of noonLeap, plashless as they swim.What type of figurative language is used in lines 9-11?simileallusioneuphemismsymbolismhyperbole for a client newly diagnosed with radiation-induced thrombocytopenia, the nurse should include which intervention in the care plan?for a client newly diagnosed with radiation-induced thrombocytopenia, the nurse should include which intervention in the care plan? What is the equation of the line that is parallel to the line y=2/3x4/5 and passes through the point (3,2)? A. 2x3y=12B. 3x+2y=4 C. 2x3y=6 D. 3x+2y=8 Why wa the team engine important to the Indutrial Revolution? Group of anwer choice It allowed good to be produced outide of factorie. It allowed factorie to ue the power of waterway. It allowed for an increae in crop produced on farm. It allowed for fater, cheaper form of tranportation What is the sequence of the protein made from this prokaryotic nucleic acid sequence?. what does the secretary of state do in the cabinet According to the pressure-flow hypothesis, what mechanism causes the movement of phloem sap from sources to sink tissues?. some objects absorb all light and do not release any for us to find. how do we detect an object that is not releasing any light? how do we find it? In terms of alternative energy options to fossil fuels, which option(s) should the United States pursue? write an article for you school magazine about how most of the people in recent times do not come forward to help a person in need. Write about any incident expressing this view in about 250 words A bag contains 5 blue balls 4 red balls 3 orange balls. if a ball is picked from the bag at random, what is the probability that it is a blue ball. Answers have been rounded to the tenth place When you consume more energy than burned, the excess energy is stored for later use. A small amount is stored as glycogen, but most is stored as triglycerides in what tissue?. How did the United Nations help end the Suez Crisis? A. It sent toll profits to other countries. B. It filed a lawsuit against canal owners. C. It provided funds for rebuilding the canal. D. It negotiated a cease-fire between combatants. How would the pH of a strong base (pH 14) change with the addition of a buffered acid (pH 5)? A. The base's pH would be lower. B. The base's pH would be higher. C. The base's pH would become neutral. D. The base's pH would remain the same. Describe how the graphs of y=lxl and y=lx+3l are relatedThe two graphs have the same shape but the second graph shifted 3 units up.The two graphs have the same shape but the second graph shifted 3 units down.The two graphs have the same shape but the second graph shifted 3 units left.The two graphs have the same shape but the second graph shifted 3 units right. HELP FAST PLEASEi'll mark you brainliest How do we investigate contemporary Supreme Court cases to understand and influence legal arguments and decisions? How are securities issued by the state and local governments and corporate bonds similar ? How are they different ?