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sweet-ann [11.9K]
3 years ago
8

Question is on picture attached

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0

Answer: a. they are alternate exterior angles.

b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.

14x + 2 = 9 + 13x

14x + 2 = 13x + 9

14x = 13x + 9 - 2

14x = 13x + 7

14x = 7 + 13x

14x - 13x = 7

x = 7

To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7

100 = 100

So, we are correct.

Would appreciate brainly <3

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-12x+ 16 = 100<br> what is the value for x in this equation?
AveGali [126]

Answer: X= -7

Step-by-step explanation: A negative time a negative is a positive so -12x-7 is equal to 84. 84 plus 16 is equal too 100.

7 0
4 years ago
A video store specializes in three types of movies: children's, American West, and horror. It's known that:
xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\

Simplifying the system of equations, we have

\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\

\ \ \  5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500

                                       y&=500+100=600\\ z&=3(500)-600=900

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0
2 years ago
A washer and a dryer cost $597 combined. The washer costs $53 less than the dryer. What is the cost of the dryer?
Volgvan

Answer:

w + d = 797

w = d - 53

Because they are equal, we can take whatever is on one side of the = and replace it for what's on the other side.

d - 53 + d = 797

2d = 850

d = 425

Step-by-step explanation:

3 0
3 years ago
HELP PLEASE HELP!!!!! 20 POINTS!!!
ivann1987 [24]
The answer should be C. By combining like terms you can find the answer. 1.75a+2.75a = 4.5a
2.25b + 1.75b = 4b
2.25c + 1.25c = 3.5c
3 0
4 years ago
Read 2 more answers
Andrew believes the honor roll students at his school have an unfair advantage in being assigned to the math class they request.
nadya68 [22]

Answer:

Honor students have a probability of 43% to non-honor students 25%.

Step-by-step explanation:

Prob of honor student getting math class choice = 215/500 = 43%

Prob of non-honor student getting math class choice = 125/500 = 25%

5 0
3 years ago
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