Write a proportion relating the side lengths of the triangle to any other triangle that has the line as a hypotenuse, a horizontal length of x units, and a vertical length of y units.

Write A Proportion Relating The Side Lengths Of The Triangle To Any Other Triangle That Has The Line

Answers

Answer 1

Answer:

y/x = 2 or y = 2x

Step-by-step explanation:

The given triangle has:

Vertical segment = 2 unitsHorizontal segment = 1 unit

The ratio (slope) is:

2/1 = 2

For any triangle using same line the proportion is:

y/x = 2 ory = 2x

Related Questions

help please??? really don't understand this:)

Answers

Answer:

9.4

Step-by-step explanation:

Each pay 7.05.

7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.

Each ticket costs 9.4

Please mark brainliest

Answer:

Each ticket costs $9.4

Step-by-step explanation:

Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.

7.05 x 4 = 28.2 (Amount paid from all 4 friends)

Now divide 28.2 by the # of tickets they're paying for.

28.2/3 = 9.4 (Cost of each ticket)

Hope this helps! Please mark me as brainliest! :D

If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?

Answers

Answer: $4

Step-by-step explanation:

If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4

Answer:

$4

Step-by-step explanation:

divide 8 by two

to find the price of one prego pasta divide the cost of your object  by the amount of objects

Two trains are traveling at a constant rate. Find the rate of each train. Which train is traveling at a faster rate?

Answers

Answer:

Train A

Step-by-step explanation:

Look at the table.

Train A : 75 - 50/ 3 - 2 = 25 mi/n

Train B : 40 - 0/ 2 - 0 = 20 mi/n

25  > 20

So it's train A.

{ RATE }

You are paid 82.50 for 7 1/2 what is ur rate of par

Answers

$11 an hour

82.50/7.5= 11

hope this helps

Directions: Solve for x, then find each angle measure

Answers

Answer:

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

so

9x + 3 + 11x - 21 + 5x - 2 = 180

25x = 180 - 3 + 21 + 2

25x = 200

x = 200 : 25

x = 8

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

E = 9 * 8 + 3 = 75°

D = 5 * 8 -2 = 38°

F = 11 * 8 - 21 = 67

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

check

75 + 37 + 67 = 180°

The required simplified value of the x is 8, as of the given condition.

A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8

Thus, the required simplified value of the x is 8.

Learn more about simplification here:

https://brainly.com/question/12501526

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HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answers

Answer:  Choice C

Explanation:

The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,

a = 1b = -3c = -1

Use the quadratic formula to get the following

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]

The last equation matches with choice C.

solve for y -3.3+y/4=9.7

Answers

Answer:  y=  5 /52  = 10 2/5 = 10.4

Step-by-step explanation:

-3.3+y/4=-9.7

We move all terms to the left:

-3.3+y/4-(-9.7)=0

We add all the numbers together, and all the variables

y/4+6.4=0

We multiply all the terms by the denominator

y+(6.4)*4=0

We add all the numbers together, and all the variables

y+25.6=0

We move all terms containing y to the left, all other terms to the right

y=-25.6

   

   

1,8,27,64

find the rule and show how did you find it​

Answers

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

I WILL GIVE BRAINLIEST!! PLS HELP

Answers

Answer:

BC is congruent to EC by definition of bisect.

<ABE is congruent to <BED by alternate interior angles.

<ACB is congruent to <ECD by vertical angle theorem.

Triangle ABC is congruent to triangle DEC by ASA congruence theorem

Answer:

Ooook. One thing at a time

C is the midpoint of AD and BE: The two segments bisects each other.

Being the midpoint AC≅CD and BC ≅CE.

The triangles are congruent by SSS.

Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.

Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!

Answers

Answer:

401 r 20

Step-by-step explanation:

It would equal to 401 r 20.

Combine Like Terms:

7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard

Answers

Answer:

11M + 2X + 8

Step-by-step explanation:

Hope this helps!! :))

Answer:

11M + 2x + 8

I did the math

it rights tho

Hi i need the answer to this asap please

2 divided by 3

please explain how you got answer like show work

please do not answer in decimal form or the answer from go ogle

and please dont just answer for points

Answers

0.66666666666
I got it from the internet?
The only way to answer it other than decimal form would be as a fraction. This would simply be 2/3 (two over three). It cannot be simplified any further, so that is your answer.

If one-third of a number is 24 less than the thrice of the number, find the number.​

Answers

Answer:

9

Step-by-step explanation:

Let the number be 'x'

One third of a number : (1/3) *x

Thrice the number = 3x

[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]

Multiply the entire equation by 3

9x - x =  72

8x = 72

Divide both sides by 8

x = 72/8

x = 9

Which term of the arithmetic sequence 1, 3, 5, 7, ... is 99?
It is the
th term.

Answers

Answer:

it is the 50th tearm

Step-by-step explanation:

I just added '2' to '1' 50 times in a sense and got 99

What are complex integers ?

Answers

Answer:

In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.

Step-by-step explanation:

Complex Integer

(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.

Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.

The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.

Answer:

An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.

Step-by-step explanation:

please is for today and fast

Answers

Answer:

slope= [tex]\frac{2}{3}[/tex] or 0.6

y-intercept= -1

y= 0.6x+ -1

Step-by-step explanation:

slope= [tex]\frac{rise}{run}[/tex]

the y-intercept is where the line crosses the y axis

the equation for a line is y=mx+b where m is slope and  b is y

Answer:

Slope: 1.5

Y-intercept: (0,-1)

Equation of the line: y=1.5x-1

Step-by-step explanation:

Slope=

change of y/change of x=

3/2 (or 1.5)

Equation of the line:

y=1.5x+b

-1=1.5(0)+b

-1=b

y=1.5x-1

Suppose you are exchanging currency in the London airport. The currency exchange service there only makes transactions in which one of the two currencies is British pounds, but you want to exchange dollars for Euros. Thus you first need to exchange dollars for British pounds, then exchange British pounds for Euros. At the time you want to make the exchange, the function f for exchanging dollars for British pounds is give by the formula:

f(d)=0.69d−1

and the function gg for exchanging British pounds for Euros is given by the formula

g(p)=1.3p−2

Required:
a. Find a formula for the function that exchanges dollars in return for Euros.
b. How many Euros would you receive for exchanging 450 dollars after going through this two-step exchange process?
c. How many dollars would you need to exchange in order to end up with 60 Euros after this two-step exchange process?


Answers

The two-step exchange process is an illustration of composite functions

The function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]You would receive 400.35 Euros, when you exchange 450 dollarsYou would receive 70.6 dollars, when you exchange 60 Euros

Converting from dollars to British pounds, we have:

[tex]\mathbf{f(d) = 0.69d - 1}[/tex]

Converting from British pounds to Euro, we have:

[tex]\mathbf{g(p) = 1.3p - 2}[/tex]

(a) Function that converts dollars to Euro

To do this, we simply calculate gf(d)

So, we have:

[tex]\mathbf{g(f(d)) = 1.3f(d) - 2}[/tex]

Substitute [tex]\mathbf{f(d) = 0.69d - 1}[/tex]

[tex]\mathbf{g(f(d)) = 1.3 \times (0.69d - 1) - 2}[/tex]

Expand

[tex]\mathbf{g(f(d)) = 0.897d - 1.3 - 2}[/tex]

[tex]\mathbf{g(f(d)) = 0.897d - 3.3 }[/tex]

Rewrite as:

[tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Hence, the function that converts dollars to Euro is [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

(b) Euro equivalent of $450

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 450 for d

[tex]\mathbf{g(450) = 0.897 \times 450 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 403.65 - 3.3 }[/tex]

[tex]\mathbf{g(450) = 400.35}[/tex]

Hence, you would receive 400.35 Euros, when you exchange 450 dollars

(c) Dollar equivalent of 60 Euros

In (a), we have [tex]\mathbf{g(d) = 0.897d - 3.3 }[/tex]

Substitute 60 for g(d)

[tex]\mathbf{60 = 0.897d - 3.3 }[/tex]

Add 3.3 to both sides

[tex]\mathbf{0.897d = 63.3 }[/tex]

Divide both sides by 0.897

[tex]\mathbf{d = 70.6}[/tex]

Hence, you would receive 70.6 dollars, when you exchange 60 Euros

Read more about composite functions at:

https://brainly.com/question/20379727

what is the place value of 2 in 842567​

Answers

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average daily maximum temperature is:
____ °C higher than the average daily minimum temperature.

Answers

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Multiply as indicated. Write the product in standard form.
(2+i)^2

Answers

Answer:

3 + 4i

Step-by-step explanation:

Identify all the word phrases that can be represented using the expression 3t – 5.

(Choose 2)

Answers

Answer:

B

Step-by-step explanation:

3t is also represented as 3(t)

which is multyplication

theirfor the product

Answer:

Step-by-step explanation:

3t - 5

can you keep the options?

my answers would be

5 less than product of 3 and a number

plz help will mark as brainliest​

Answers

10

Explanation:
10/2 = 5

what number is 12% of 315

Answers

Answer:

12% of 315 is 37.8 :) Tag me if I'm wrong

Answer:

x = 37.80

Step-by-step explanation:

The decimal form of 12% is 0.12. An easy way of converting percentage into decimal by moving the decimal point two places to the left. Hence, 12% = 0.12.

The given statement, "What number is 12% of 315" can be expressed algebraically as:

x = 0.12 × 315.

x = 37.80

Therefore, 37.80 is 12% of 315.

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily. What is the first day's interest? Round to the nearest cent.

Answers

Answer:

The interest is $0.03

Step-by-step explanation:

($720*0.014)/365

The first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

It is given that:

Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

P =$720

r = 1.4% = 0.014

n = 365

t = 1 day

[tex]\rm A = 720(1+\dfrac{0.014}{365})^{365\times1}[/tex]

After solving:

A = $730.15

The interest I = A - P

I = $730.15 - 720

I = $10.15

Thus, the first day's interest will be $10.15 if Janine opens a savings account with a deposit of $720. The account pays 1.4% interest, compounded daily.

Learn more about the compound interest here:

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Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.

Answers

Answer:

Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)

Step-by-step explanation:

Please help thanks!!!

Answers

Answer:

[tex]a^{2}[/tex]

Step-by-step explanation:

Answer: ?

Step-by-step explanation:

Solve the proportion for v.
6
0]>
9 =
100
V
v = [?]

Answers

Answer:

v = 12

Step-by-step explanation:

[tex]\frac{9}{v}[/tex] = [tex]\frac{6}{8}[/tex] ( cross-  multiply )

6v = 8 × 9 = 72 ( divide both sides by 6 )

v = 12

Answer:

v=12

9/v =6/8 (cross - multiply)

6v = 8 x 9 = 72 (divide both sides by 6)

v = 12

Step-by-step explanation:

that's my answer

Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk

Answers

Answer:

Each snack bar contains 12 carbs and each milk contains 15 carbs.

Step-by-step explanation:

Let M be the carbs in milk and S the carbs in a snack bar.

We are told:

4M + 3S = 96, and

2M + 4S = 78

===

We can eliminate one of the variables and then solve for the other.  Let's multiply the second equation by -2 and then add it to the first.  This will eliminate the M:

4M + 3S = 96

-4M - 8S = -156

-5S = - 60

S = 12

Each snack bar has 12 carbs.  Use either equation to find M.  I'll  use the second:

====

2M + 4S = 78

2M + 4*(12) = 78

2M + 48 = 78

2M = 30

M = 15

Each milk contains 15 carbs

l
A ball is projected upward from ground level. After (t) seconds, its height in feet is
given by the function “h(t) = -16(t)^2 + 112(t)” After how many seconds will the ball reach a height of 192 ft for the first time?

Answers

Answer:  3 seconds

Step-by-step explanation:

h(t) = -16(t)^2 + 112(t)

Set h(t) = 192 feet

192 = -16(t)^2 + 112(t)

0 = -16(t)^2 + 112(t) - 192

Solve using the quadratic formula:  There are two solutions, 3 and 4 seconds.  Three seconds is the first time it reachers 192 feet,  At four seonds it's on its way down.

The function can also be graphed (attached).

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