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kvasek [131]
2 years ago
6

Find the value of x that would prove y is parallel to z. State the converse used to support your answer.

Mathematics
1 answer:
astraxan [27]2 years ago
8 0

Answer:

x = 15

Step-by-step explanation:

By the Consecutive Interior Angles Converse, if (3x + 7) + (10x - 22) = 180, then y is parallel to z.

Solve for x

3x + 7 + 10x - 22 = 180

Combine like terms

3x + 10x + 7 - 22 = 180

13x - 15 = 180

Add 15 to both sides

13x - 15 + 15 = 180 + 15

13x = 195

Divide both sides by 13

\frac{13x}{13} = \frac{195}{13}

x = 15

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