Answers
Answer:
a) Line r
b) Line q
c) Line s
d) Line q
e) Line p
Step-by-step explanation:
A transversal is a line that crosses two other lines in the same plane at two distinct points.
a) The transversal connecting ∠1 and ∠5 is line r.
Line r is the transversal of lines p and q. ∠1 and ∠5 are corresponding angles as they are in the same position relative to lines p and q crossed by the transversal r.b) The transversal connecting ∠7 and ∠14 is line q.
Line q is the transversal of lines r and s.∠7 and ∠14 are alternate interior angles as they are on the inner side of lines r and s, but on opposite sides of the transversal q.c) The transversal connecting ∠8 and ∠11 is line s.
Line s is the transversal of lines p and q. ∠8 and ∠11 are alternate exterior angles as they are on the outer side of lines p and q, but on opposite sides of the transversal s.d) The transversal connecting ∠6 and ∠15 is line q.
Line q is the transversal of lines r and s. ∠6 and ∠15 are alternate exterior angles as they are on the outer side of lines r and s, but on opposite sides of the transversal q.e) The transversal connecting ∠3 and ∠9 is line p.
Line p is the transversal of lines r and s. ∠3 and ∠9 are consecutive interior angles as they are on the inner side of lines r and s, and are on the same side of the transversal p.Related Questions
an object is traveling at the steady speed of 8 and 2/3 mph how long will it take the object to travel 5 and 1/5 miles
Answers
Answer:
36mins
Step-by-step explanation:
So, the time of travel to cover 5 1/5 miles at a speed of 8 2/3 mph is 36 minutes.
2 1/2 times [1 2/3] please help
Answers
Una barra de fierro tiene 3,5 metros de largo. en un punto de la barra se ubica una marca que dista 125cm de uno de los extremos.¿cuanto dista en dm del otro extremo?
Answers
Answer:
El otro extremo dista :
12.5 decímetros
Step-by-step explanation:
1 dm = 1 decímetro = 10 cm
1 m = 1 metros = 10 decímetros = 10 dm
3.5 metros = 3.5 * 10 = 35 decímetros
125 cm = 125/10 = 12.5 decímetros
Entonces:
35 dm - 12.5 dm = 22.5 dm
Complete the square to transform the expression x^2 + 6x + 5 into the form a(x − h)^2 + k. (1 point)
(x + 3)2 + 4
(x + 6)2 − 4
(x + 3)2 − 4
(x + 6)2 + 4
Answers
a perfect square trinomial, namely [tex]\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2[/tex]
where the middle-term is just a product of "2 times the square root of the terms on both sides".
so let's start by grouping the terms with a variable, and then adding the last term for the trinomial, keeping in mind the middle-term is just that product.
[tex]x^2+6x+5\implies (x^2+6x) ~~ +5\implies (x^2+6x+\square^2) ~~ +5 \\\\\\ \stackrel{middle-term}{6x}=2(\sqrt{x^2})(\sqrt{\square^2})\implies 6x=2x\square\implies \cfrac{6x}{2x}=\square\implies 3=\square[/tex]
ahhhaaa!!! so our missing term from our group is 3, meaning we need to use 3², however, let's remember, all we're doing is borrowing from our very good friend Mr Zero, 0, so if we add 3², we also have to also subtract 3²
[tex](x^2+6x+3^2-3^2) ~~ +5\implies (x^2+6x+3^2)-3^2 +5\implies {\Large \begin{array}{llll} (x+3)^2-4 \end{array}}[/tex]
Answer below if you can!! Would help me A LOT^^
Answers
Answer:
Think its B.
Step-by-step explanation:
Answer:
[tex]4cd(6-9c)[/tex]
Step-by-step explanation:
Factor out what all terms have in common
[tex]24cd-36c^{2} d[/tex][tex]cd(24-36c)[/tex][tex]4cd(6-9c)[/tex]find the number that is opsite of 1/15 and 1/16
Answers
The numbers that opposite 1/15 and 1/16 are -1/15 and -1/16
How to determine the opposite numbers?From the question, we have the following numbers that can be used in our computation:
Numbers = 1/15 and 1/16
The opposite of numbers is the negative equivalent of the number
Take for instance, we have a number x
The opposite of x is -x
Using the above as a guide, we have the following representation
Numbers = 1/15 and 1/16
This means that, the opposite numbers can be represented as
Opposite numbers = -1/15 and -1/16
Hence, the opposite numbers are -1/15 and -1/16
Read more about opposite numbers at
https://brainly.com/question/10488315
#SPJ1
(3x + 8)°
(5x – 20)°
(5x + 4y)°
Find the value of each variable.
Answers
Answer:you have 2 lines that cross.
the left angle formed is equal to 3x + 8
the right angle formed is equal to 5x - 20.
the bottom angle formed is equal to 5x + 4y
since the lines are crossed, the opposite angles to each other are equal.
this means that:
3x + 8 = 5x - 20
solve for x to get x = 14 degrees.
the angle on the left side will be equal to 3(14) + 8 = 50 degrees.
the angle on the right side will be equal to 5(14) - 20 = 50 degrees.
this is at it should be since the angles are equal to each other.
since the sum of the 4 angles formed is equal to 360 degrees, the sum of the remaining 2 angles is equal to 260 degrees.
since those 2 angles are equal, then each one must be equal to 130 degrees.
one of those angles is equal to 5x + 4y.
you get 5x + 4y = 130
since x was already found to be 14, replace x with 14 to get:
5(14) + 4y = 130
solve for y to get y = (130 - 5(14)) / 4 which is equal to 15 degrees.
when x = 14 and y = 15, 5x + 4y = 5(14) + 4(15) = 70 + 60 = 130 which confirms the value of 15 for y is good.
your answers are:
x = 14 degrees
y = 15 degrees
2 of the angles measure 50 degrees each.
2 of the angles measure 130 degrees each.
Calculator
What is the area of this rectangle?
O 40 units²2
O 45 units²
O 50 units²
O 55 units²
-10-9-8-7-6-5-4
10-
9
8
8
9.10
Answers
Answer:
(c) 50 units²
Step-by-step explanation:
You want to know the area of the rectangle with vertices (-5, 5), (-1, 7), (4, -3), and (0, -5).
Distance formulaThe distance formula can be used to find the lengths of the sides. That formula is ...
d = √((x2 -x1)² +(y2 -y1)²)
The distance between the first two points is ...
d = √((-1 -(-5))² +(7 -5)²) = √(4² +2²) = √20
The distance between the next two points is ...
d = √((4 -(-1))² +(-3 -7)²) = √(5² +(-10)²) = √125
AreaThe area is the product of two adjacent side lengths:
A = LW
A = (√125)·(√20) = √(125·20) = √2500 = 50 . . . . square units
The area of the rectangle is 50 units².
Find the domain of the function using interval notation.
f(x)=−2x(x−3)(x−6)
Answers
The domain of the polynomic function f(x)=−2 · x · (x − 3) · (x − 6) is (- ∞, + ∞).
What is the domain of a polynomic function?
In this problem we find a polynomic function in factor form, whose definition is presented below:
f(x) = a · Π (x - rₙ), for n = {1, 2, 3, ..., n - 1, n}
Where:
a - Lead coefficientrₙ - n-th Root of the polynomial.The grade of the polynomial is equal to the number of roots. The statement shows a polynomial of grade 3 and, according to function theory, the domain of polynomic functions is the set of all real numbers, whose interval notation is (- ∞, + ∞).
To learn more on domain of functions: https://brainly.com/question/17440903
#SPJ1
You started this year with $458 saved and
you continue to save $14 per month.
Write an equation to model this situation
(use m for months and s for savings).
Answers
Answer:
s = 14m + 458
Step-by-step explanation:
current amount = 458
14 per month
s = 14m + 458
So essentially it will be S=$14m+$458.
It’s this because S is the total value you’re trying to get (the savings)
$14 is linear meaning it’s the same every time or in this case every month so it goes there since the amount also depends on the amount of months. Which is also why m (months) is being multiplied by $14. $458 goes there because it’s the starting value so it will be accounted for every time you calculate with this equation.
I apologize if anything is incorrect or unclear and if you have any questions please ask.
9 feet is the same as how many meters? Hint: 1 ft≈ 0.305 m Learn with an example Round your answer to the nearest tenth. Submit (
Answers
9 feet is the same as = 2.74 m
Given
1 ft≈ 0.305 m
To find out 9 feet is the same as how many meters:
To convert a foot measurement to a meter measurement, multiply the length by the conversion ratio.
Since one foot is equal to 0.3048 meters, you can use this simple formula to convert:
meters = feet × 0.3048
= 9 * 0.3048
= 2.7432 m
The length in meters is equal to the feet multiplied by 0.3048.
Hence the answer is the 9 feet is the same as meters = 2.74m.
To learn more about conversion click here https://brainly.com/question/23718955
#SPJ9
Find an equation of the line containing the given pair of points (3,4) and (9,9)
Answers
Answer:
y = 5x/6 + 3/2
Step-by-step explanation:
First, find the slope (m):
m=(y2-y1)/(x2-x1)
m=(9-4)/(9-3)
m=5/6
y=mx+b ==> slope-intercept form equation
y = 5x/6 + b==> substitute the value of the slope for m
9 = 5(9)/6 + b ==> substitute a point (x, y) or (9, 9) into the equation
9 = 45/6 + b ==> simplify
(9 = 45/6 + b)*6 ==> multiply the equation by 6 to remove denominators
54 = 45 + 6b ==> simplify
54 - 45 = 45 - 45 + 6b ==> solve for b
9 = 6b
9/6 = 6b/6
b = 3/2
y = 5x/6 + 3/2 ==> plug in b for the slop-intercept equation
x + 2x
Helpp, no link :/
Answers
Answer:
3x
Step-by-step explanation:
When the equation is like this and they both are being multiplied by x you can just add the coefficients
x+2x
1x+2x
3x
Hopes this helps please mark brainliest
Hello..!
Similar Terms:[tex] \sf{x + 2x = 3x}[/tex]
It is known that in similar terms "x" is an unknown quantity and that in this problem "x" is 1 and that we only have to add it to 2:
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf2 + 1 = 3[/tex]
So the result is 3x
How many fifths equal 1/5
Answers
Answer: only 1
Step-by-step explanation:
Answer: One-fifth.
Step-by-step explanation:
2/5 is two-fifths, 3/5 is three-fifths, and so on.
1/10 is one-tenth, 2/10 is two-tenths, and so on.
Write the standard form equation for an
ellipse with vertices: (4, 10) and (-12, 10)
and foci: (2, 10) and (-10, 10)
Answers
Check the picture below, so the ellipse looks more or less like so
[tex]\textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{cases} h=-4\\ k=10\\ a=8 \end{cases}\implies \cfrac{(x- (-4))^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1 \\\\\\ \stackrel{\textit{we know that c = 6}}{6=\sqrt{8^2 - b^2}}\implies 6^2=8^2-b^2\implies b^2=8^2-6^2\implies \underline{b^2=28} \\\\\\ \cfrac{(x+4)^2}{ 8^2}+\cfrac{(y- 10)^2}{ b^2}=1\implies {\Large \begin{array}{llll} \cfrac{(x+4)^2}{ 64}+\cfrac{(y- 10)^2}{ 28}=1 \end{array}}[/tex]
if cabbage coats 0.27 per pound then how many pounds of cabbage can you buy for $3.90.
Answers
Answer:.15
Step-by-step explanation:
390/27= 130/9
130/9=14.444...
divide by 100
.1444... is approxomatly .15 so there is your answer
Answer:
14 or 15
u can do 3.90 divied by 0.27
Step-by-step explanation:
50 POINTS TO WHOEVER ANSWERS!!
Answers
4c: jam has greater rate
4c: jam has greater rate
PROBLEM SOLVING Volunteers work for six hours to clean up litter in a park. The graph represents
the time x (in hours) and the number y of garbage bags filled.
Garbage bags
(6, 69)
(5, 57.5) (4, 46)
(2, 23)
10 (1, 11.5)
(3, 34.5)
Write an equation that represents the garbage bags filled as a function of time
Interpret the slope and the y intercept
The domain is____ the range is____
How many garbage bags could the volunteers fill in 12 hours
____ garbage bags
Explain.
Answers
The equation of the function is: y = 11.5x.
The slope = 11.5 garbage bag per hour.
Y-intercept = 0 bag at 0 hour.
The domain: number of hours
Range of the function: number of garbage bags filled.
138 bags will be filled in 12 hours.
How to Write the Equation of a Function?The equation of a function can be written as y = mx + b in slope-intercept form. Here, we have:
m represents slopeb represents y-intercept.Given the graph with the points that represents the number of garbage bags filled as a function of time as:
(6, 69); (5, 57.5); (4, 46); (2, 23); (1, 11.5); (3, 34.5)
Use two points, (6, 69) and (4, 46) to find the slope of the function:
Slope (m) = change in y / change in x = (69 - 46)/(6 - 4)
Slope (m) = 23/2
Slope (m) = 11.5
To find the y-intercept (b), substitute m = 11.5 and (x, y) = (6, 69) into y = mx + b:
69 = 11.5(6) + b
69 = 69 + b
69 - 69 = b
b = 0
To write the equation of the function, substitute m = 11.5 and b = 0 into y = mx + b:
y = 11.5x + 0
y = 11.5x
The slope, 11.5, means 11.5 garbage bags were filled per hour.
Y-intercept is zero, which means no bag was filled at 0 hour.
The domain is the set of the number of hours, while the range of the function is the set of number of garbage bags filled.
To find the number of garbage bags that volunteers fill in 12 hours, substitute x = 12 into y = 11.5x:
y = 11.5(12)
y = 138 bags.
Learn more about the equation of a function on:
https://brainly.com/question/15602982
#SPJ1
Maximize: z = 3x + y
subject to: x-y≤9 3x + 5y ≤45 x≥0, y≥0
Answers
Objective function is a maximum at (3,2), Z = 3x+y = 3(3) + 1(2) = 9 + 2 = 11
Given,
Maximize: z = 3x +y
Subject to:
x-y≤9
3x + 5y ≤45
x≥0, y≥0
For the purpose of representing and resolving the linear programming optimization issues, objective functions are frequently used. The choice variables x and y are used in the objective function, which has the form Z = axe + by. The best answer can be obtained by maximizing or minimizing the function Z = ax + by
Plot the constraints and the objective function Z, or z = 3x +y
Push the objective function to the limit permitted by the feasible region to find the maximum.
Objective function is a maximum at (3,2),
Z = 3x+y = 3(3) + 1(2) = 9 + 2 = 11
Learn more about objective function here;
https://brainly.com/question/17030148
#SPJ9
How many terms are in this expression? n² + 2k³ + 3m²
Answers
The expression has 3 terms, that are
1st term n²
2nd term 2k³
3rd term 3m²
Given that,
The expression is n²+2k³+3m².
We have to find how many terms are in the expression.
A term may be a number, a variable, the product of two or more variables, a number and a variable, or any combination of these. A single term or a collection of phrases can be used to create an algebraic expression. For instance, 4x and y are the two terms in the formula 4x + y.
Take the expression,
n²+2k³+3m²
There are 3 terms
1st term n²
2nd term 2k³
3rd term 3m²
Therefore, The expression has 3 terms, that are
1st term n²
2nd term 2k³
3rd term 3m²
To learn more about expression visit: https://brainly.com/question/14083225
#SPJ1
Determine which integer makes the inequality 8(n − 3) < 4(n + 7) true. S:{13} S:{24} S:{9} S:{52}
Answers
The inequality has a solution set of {-∞, 13} in order to make it equal
InequalityIn mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions. An inequality shows the relationship between two values in an algebraic expression that are not equal.
In the given question
8(n - 3) < 4(n + 7)
Expand the bracket
8n - 24 < 4n + 28
8n - 4n < 28 + 24
n < 13
The solution set to make the inequality equal is {-∞, 13}
Learn more on inequality here;
https://brainly.com/question/25275758
#SPJ1
Need Help filling in the table?
Answers
Answer: Down there,
Step-by-step explanation:
Row 1 = 29
Row 2 = 5
Row 3 = -1
Row 4 = -7
Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.8 feet and a standard deviation of 0.5 feet. A sample
of 73 men's step lengths is taken.
Step 1 of 2: Find the probability that an individual man's step length is less than 2.2 feet. Round your answer to 4 decimal places, if necessary.
Answers
The probability that an individual man’s step length is less than 2.2 feet is 0.10 or 10%
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
Z = (X - mean)/S.D
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 2.8 feet and a standard deviation of 0.5 feet.
Find the probability that an individual man’s step length is less than 2.2 feet.
This is the p-value of Z when X = 2.2. So
Z = (2.2 - 2.8)/0.5
Z = 0.6/0.5 = 1.2
Z = 1.2
has a p-value of 0.10
Therefore, the probability that an individual man’s step length is less than 2.2 feet is 0.10 or 10%
To learn more about normal distribution refer here
https://brainly.com/question/4079902
#SPJ1
To find the quotient Three-fourths divided by one-eighth,
Answers
Answer:
Step-by-step explanation:
1. Convert words to math
3/4/1/8=
3/4*8/1=
24/4=
6
3. Answer: 6
King's Books sold 480 bookmarks last year, in comparison to 672 bookmarks this year. What is the percentage of the increase in the number of bookmarks sold annually?
Answers
Answer:
Step-by-step explanation:
percentage increase = (final - initial)/initial
increase = (672 - 480)/480
= 192/480
= 0.4 * 100 = 40% increase
If u = 15, t = 8, s = 40 and s (u+v)t 2 evaluate v.
Answers
The value of v is -12.5 when u = 15, t = 8, and s = 40.
According to the question,
We have the following expression:
s = (u+v)[tex]t^{2}[/tex]
We have the following values:
u = 15, t = 8, s = 40
Now, we can easily find the value of v by putting all these values in the given expression.
So, we have the following expression:
40 = (15+v)8*8
40 = (15+v)16
Multiplying 16 into the bracket:
40 = 15*16+16v
40 = 240+16v
Subtracting 240 from both sides:
40-240 = 16v
-200 = 16v
Dividing by 16 on both sides:
-200/16 = v
v = -12.5
Hence, the value of v is -12.5 when u = 15, t = 8, and s = 40.
To know more about value of v here
https://brainly.com/question/28574791
#SPJ9
HELP!!! Simplify the expression
Answers
Answer: (3x^2)(y^3√y)
Step-by-step explanation:
1. To simplify the radical
> break the radicand (the number under the radical sign) into a product (the result of two numbers being multiplied together) of known factors.
2. Assume all numbers are real.
Find a b and c ??????
Answers
Answer:
a = 70 degrees
b = 20 degrees
c = 20 degrees
Step-by-step explanation:
First, we can find "c":
angleBCA = 90
angleBCA = angleBCD + c
90 = 70 + c
90 - 70 = c
20 = c
Knowing "c", we can find "a".
angleADC = 90
triangleADC = 180
triangleADC = angleADC + c + a
180 = 90 + 20 + a
180 = 110 + a
180 - 110 = a
70 = a
Knowing "a", we can find "b".
angle BCA = 90
triangleACB = 180
triangleACB = angleBCA + a + b
180 = 90 + 70 + b
180 = 160 + b
180 - 60 = b
20 = b
Please answer. Thanks.
Answers
The missing statements/ reasons are:
Statement Reason
LN bisects ∠MLO Given
LM ≅ LO Given
∠MLN ≅ ∠NLO Def of angle bisector
LN ≅ LN Common side
ΔLMN ≅ ΔLON SAS postulate of triangle congruence
In this question, we have been given some information about triangles LMN and LON.
We need to prove ΔLMN ≅ ΔLON
LN bisects ∠MLO ....................(Given)
LM ≅ LO ...................(Given)
∠MLN ≅ ∠NLO ...................(Def of angle bisector)
LN ≅ LN ....................(Common side)
ΔLMN ≅ ΔLON ...................(SAS congruence postulate)
Therefore, the missing statements/ reasons are:
Statement Reason
LN bisects ∠MLO Given
LM ≅ LO Given
∠MLN ≅ ∠NLO Def of angle bisector
LN ≅ LN Common side
ΔLMN ≅ ΔLON SAS postulate of triangle congruence
Learn more about SAS postulate here:
https://brainly.com/question/13814326
#SPJ1
Can you help with these vocabulary questions
Answers
- An *acute* angle measures less than *90*.
- An obtuse angle’s measure is *more* than *90*.
- Right angles *are* or *measure* exactly *90*.