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babymother [125]
2 years ago
6

I need help answering this question

Mathematics
1 answer:
Advocard [28]2 years ago
8 0

Answer:

x = 17

Step-by-step explanation:

Since line m is parallel to line n, therefore:

(6x + 5) + (5x - 12) = 180 (consecutive interior angles are supplementary)

Solve for x

6x + 5 + 5x - 12 = 180

Add like terms

11x - 7 = 180

Add 7 to both sides

11x - 7 + 7 = 180 + 7

11x = 187

Divide both sides by 11

\frac{11x}{11} = \frac{187}{11}

x = 17

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Step-by-step explanation:

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Hey there!

As according to the mathematical acronym SOH CAH TOA (Sin Opposite Hypotenuse, Cos Adjacent Hypotenuse, Tan Opposite Adjacent), the correct answer would be the first choice, \frac{12}{5}.

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