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3 years ago

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

Mathematics

1 answer:

yawa3891 [41]3 years ago

4 0

Answer:

12x-17=139

8x+35=139

Step-by-step explanation:

The angles are vertical angles which means they are equal

12x-17 = 8x+35

Subtract 8x from each side

12x -8x-17 = 8x-8x+35

4x -17 = 35

Add 17 to each side

4x - 17 +17 = 35+17

4x = 52

Divide each side by 4

4x/4 = 52/4

x =13

12x-17 = 12(13) -17 = 156-17 =139

8x+35 =8(13) +35=104+35=139

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Solving systems of equations how would I solve this problem? AND TYSM for y’alls help!!!!

4vir4ik [10]

Answer:

x = -3, y = -4

(-3, -4)

Step-by-step explanation:

solve each equation for y (the first equation is already solved for y, so just do the second equation)

-x -y =7

+x +x

-y = x + 7 eliminate the negative by switching all signs

y = -x - 7

now that both equations equal y, you can set them equal to each other:

-x - 7 = 3x + 5

solve for x

-x - 7 = 3x + 5 move the variable to one side of the equation

+x +x

-7 = 4x + 5 move the constant to the other side of the equation

-5 -5

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÷4 ÷4

-3 = x

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y = -9 +5

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6 0

3 years ago

Solve 2x2 + 3x – 7 = x2 + 5x + 39 for x.

Brrunno [24]

The answer to this question is:
x = 1 + or - the square root of 47

6 0

3 years ago

What is the equation of the line that goes through (-3,-1) and (3,3)?

puteri [66]

I think it’s B)

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7 0

3 years ago

The difference of the squares of two consecutive even integers is 68. What are these numbers?

valentinak56 [21]

Answer:

x = 5

Step-by-step explanation:

(2x+2)² - (2x)² = 44

4x^2 + 8x + 4 - 4x^2 = 44

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4 0

3 years ago

Read 2 more answers

Make a tree diagram and find each probability.

Dafna11 [192]

Answer: a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

Step-by-step explanation:

Since we have given that

Probability of heavy fog is given by

$P(F)=0.70$

Probability of a light drizzle is given by

$P(D)=0.30$

Probability of getting canceled a softball game due to light drizzle is given by

$P(C\mid D)=0.80$

Probability of getting canceled a softball game due to heavy fog is given by

$P(C\mid F)=0.30$

a. Find the probability that the game will be canceled.

Probability of getting the game be cancelled is given by

$P(C)=P(F)\times P(C\mid F)+P(D)\times P(C\mid D)\\\\P(C)=0.70\times 0.30+0.30\times 0.80\\\\P(C)=0.45\\\\P(C)=45\%$

b. Find the probability there will be a light drizzle and the game will not be canceled.

Probability that there will be a light drizzle and the game will not be canceled is given by

$P(C'\mid D)=1-P(C\mid D)\\\\P(C'\mid D)=1-0.80\\\\P(C'\mid D)=0.20\\\\P(C'\mid D)=20\%$

Hence, a) probability that the game will be canceled= 45%

b) probability there will be a light drizzle and the game will not be canceled=20%

8 0

3 years ago