Mathematics College

Consider the figure below. Line FG is parallel to line JK.
Part A:Solve for a justify your answer
Part B:Determine m< FNT
Part C:Determine m

Consider The Figure Below. Line FG Is Parallel To Line JK. Part A:Solve For A Justify Your AnswerPart

Answers

Answer 1

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

Related Questions

When Louisa arranges her pennies into a rectangle with two equal rows, three equal rows, four equal rows, or six equal rows, she has one leftover penny. When she arranges her pennies into a rectangle with five equal rows, she has two leftover pennies. How many pennies could Louisa have? Remember he has between 10 and 40 pennies total.

Answers

Answer:

37

Step-by-step explanation:

The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.

Let's look at the lowest common multiples of 2, 3, 4, 6:

Prime factorisation:

2 = 2

3 = 3

4 = 2 * 2

6 = 2 * 3

therefore, the lowest common multiple is 2 * 2 * 3 = 12

Let's look at the answers that this would give us (ie multiples of 12):

12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5

12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either

12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)

therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)

Do the ordered pairs represent a function? {(1,3),(4,12),(5,15),(6,18)}

No (two y-values for one x-value)
Yes (one y-value for each x-value)
Yes (two y-values for one x-value)
No (one y-value for each x-value)

Answers

Answer:

I GUESS ITS NO(TWO VALUES FOR ONE X VALUE) I DONT KNOW IF ITS CORRECT IM JUST GUESSING

Step-by-step explanation:

Help!! I’ll mark you brainly

Answers

Answer:

Two points that satisfy include (-2,5) (0,0) (2,-5) (I know this is more than 2, but in case the (0,0) origin isn't allowed.

Step-by-step explanation:

This is 5x+2y=0

Screenie is the 5x+2y=0 btw

Hope this helps!

Please answer with an explanation if you can. If you can’t it’s fine.

Answers

C because it’s an isosceles triangle which mean two angles are congruent. H and I are identical

John is tiling a square floor. Heis using square tiles that have an area of 1 square foot. If john needs exactly 100 square tiles to cover the floor, how long is each side of the room. Use aunit in the answer.

Answers

Answer:

10

Step-by-step explanation:

Because it is square

√100 is 10 so it is 10

PLZ mark Brainliest

Jose and Mila are buying jelly beans. Jose’s bag of jelly beans weighs 1.5 pounds. Mila’s bag of jelly beans weighs 2.75 pounds. If the jelly beans cost $4.00 per pound, how much will the jelly beans cost altogether?

Answers

17 dollars total for Jose and Mila's jelly beans.

Add 1.5 and 2.75 together to get 4.25

Multiply 4.25 by 4 to get 17

the value of the 3 in 783.97 is blank the value as the 3 in 6.529.34

Answers

Answer:

the first 3 is 30 the second is 3/10

Step-by-step explanation:

How would I go about solving this?

Answers

Answer:

is10 wififklwldlfosos

Combine like terms to create an equivalent expression.

11/12 - 1/6q + 5/6q - 1/3

Answers

Answer:

The answer is 8q+7/12

Step-by-step explanation:

On Wednesday, every 8th customer at Ms. Wade's bagel shop will get a free coffee. Every 12th customer will get a free bagel. Which customer will be the first to get a free coffee and a free bagel?

Answers

Answer: The 24th customer.

Step-by-step explanation:

8th customer: Free Coffee       12th customer: Free Bagel

16th customer: Free Coffee      24th customer: Free Bagel

24th customer: Free Coffee

You're welcome!

Answer:

person above me is correct

Step-by-step explanation:

Elmer works in a computer store. He is paid a weekly salary $180 and a commission of 4.5% of all sales. One week, he sold $9770 worth of merchandise. How much did Elmer earn that week?

Answers

Answer:

$619.65

Step-by-step explanation:

We know that he gets paid 180 a week, but we don't know how much he got from the commission of his sales. To find it, you multiply 9770 by 0.045 (because 0.045 = 4.5%) which you get 439.65. You then add the 180 to get 619.65.

9770 * 0.045 = $439.65

$439.65 + $180 = $619.65

Elmer earned $619.65 in that week.

How do you do this question?

Answers

Step-by-step explanation:

lim(n→∞) an / bn

= lim(n→∞) [(sin²n) / (n³√n + n)] / (1 / n^⁷/₂)

= lim(n→∞) [(sin²n) / (n³√n)] / (1 / n^⁷/₂)

= lim(n→∞) (sin²n)

DNE

Since the limit does not exist, the limit comparison test is inconclusive.

X-7y=10 and 2x+14y=21 is it parallel, perpendicular or neither and why

Answers

Answer:

Not perpendicular and not parallel.

Step-by-step explanation:

The equations are not perpendicular because the slopes of the two lines are not negative reciprocals.

The equations are not parallel because the slopes of the two lines are not equal.

Solve for p in the literal equation 7p + 6r= q
p=

Answers

Answer: x=94

Step-by-step explanation:

The anwser

Solve the following system of equations.
(15 Points)
5x + 10 = -5y & x + y = -2

Answers

Answer:

x = -2-y

Step-by-step explanation:

A family spends $540 every month on food. If the family's income each month is $1800, what percent of the family's income is spent on food?

Answers

Answer:

1,260

Step-by-step explanation:

This is if you subtract those numbers up you would get 1,260

A subway ride is $2.25 per ride.
a. Write a model for the cost (in $) for x rides on the subway.

b. A commuter can purchase an unlimited- ride Metrocard for $89 per month. How many rides are required for a commuter to save money by buying the metrocard?​

Answers

Answer:

yuh

Step-by-step explanation:

yuh

10 friends (6 boys and 4 girls) decided to go to the movies. They only have enough money to buy 7 tickets.
What is the probability that 5 boys and 2 girls get the movie tickets?

Answers

Answer:

0.3

Step-by-step explanation:

The number of ways to choose 5 boys from 6 is ₆C₅.

The number of ways to choose 2 girls from 4 is ₄C₂.

The number of ways to choose 7 people from 10 is ₁₀C₇.

P = ₆C₅ ₄C₂ / ₁₀C₇

P = 6 × 6 / 120

P = 0.3

Don’t understand b) pls explain

Answers

Answer:

−s2+2st−t2−s+t

Step-by-step explanation:

−(s−t)−(s−t)2  

distributed would be

−s+t+−s2+2st+−t2

Answer:

Below in bold.

Step-by-step explanation:

-(s - t) - (s - t)^2       Take out  (s - t):

= (s - t)( -1 - (s - t)

= (s - t)(t - s - 1). <----  Factored form.

Or, if you want to  expand the expression:

-(s - t) - (s - t)^2

= - s + t - (s^2 - 2st + t^2)

= -s^2 + 2st - t^2 - s + t.

what is 317.59 ÷ 34? PLEASE HELP PLEASE ASAP

Answers

Answer:

9.34088235

Step-by-step explanation:

Divide  317.59  by  34 .

Write 27 as a product of primes.
Use index notation where appropriate.

Answers

27 is a composite number. 27 = 1 x 27, or 3 x 9. Factors of 27: 1, 3, 9, 27. Prime factorization: 27 = 3 x 3 x 3, which can also be written 27 = 3³.

Answer:

3 x 3 x 3 = 3^3

Step-by-step explanation:

27 as a product of it's primes = 3 x 3 x 3 In index notation= 3^3

whats the name of the fifth American president

Answers

Answer:

the fifth president name was James Monroe

I need help with my homework

Answers

The value of X=37

hope this helps :)

X= 12^2 + 35^2

= √1369

= 37

Answer:

37

Step-by-step explanation:

Pythagorean Theorem:   a²+b²=c², with a and b being the 2 shortest sides of the triangle, and c being the longest.

a²     b²       c²

12² + 35² = 1369

Once you have c², you need to find the square root of c² to get c.

The square root of 1369 is 37. c=37

Select each points that are colinear
A. H,C,B
B. Z,K,R
C. B,R,Z
D. H,B,K
E. C,H,J
​

Answers

Answer:

a

Step-by-step explanation:

its a

cómo se escribe el número 88,317​

Answers

Answer:

Eighty-Eight thousand three hundred seventeen

Step-by-step explanation:

Answer:

ochenta ochenta mil trescientos diecisiete

Step-by-step explanation:

No estoy seguro de lo que quiere saber. Asumo que estás preguntando cómo escribirlo en palabras. Pero todavía no estoy tan seguro. Por favor, avíseme si necesito resolverlo de otra manera.

The boundary line is dashed when the inequality is .

Answers

Answer: < or >

Step-by-step explanation:

twice the cube root of a number is 24. find the number​

Answers

Answer:

A cube number is the answer when an integer is multiplied by itself, then multiplied by itself again. The first five cube numbers are: 1, 8, 27, 64 and 125. ...

What is an equation in point-slope form of the line that passes through (−7, 1) and (−3, 9)?

A. y + 3 = 2(x − 9)
B. y − 3 = 2(x + 9)
C. y + 9 = 2(x − 3)
D. y − 9 = 2(x + 3)

Answers

Y -Y1 = m(x-x1)
D. Y-9 = 2(x+3)

I need help plz
The mapping below represents all of the
points on a graph. Is the graph a function?

Answers

Yes, it is a function. Every input (x value) has only one output (y value). You can see this because each x only has one line pointing from it. If you were to graph this function, you would see that it passes the vertical line test.

. Where does the line y = 3x + 5 cross the y-axis?

Answers

Answer: at 5

Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0

Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.

The formula for a straight line takes the form:

y = mx + c

m = Gradient

c = y-intercept

The line described takes the form of y = 3x + 5.

5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.

In conclusion, the y-axis is crossed at 5.

Find out more at https://brainly.com/question/8499326.

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