2 years ago

What is the value of x? Enter your answer, as a decimal, in the box.

Mathematics

1 answer:

RideAnS [48]2 years ago

7 0

Answer:

x = 67.5 ft

Step-by-step explanation:

In ΔNMP

∵ AB // NP

∴ m∠ MAB = m∠MNP

∴ m∠MBA = m∠MPN

∵ ∠M is a comman angle

∴ ΔMAB is similar to ΔMNP

∴ MA/MN = MB/MP

∵ MA = 71.5 - 22 = 49.5

∴ 49.5/71.5 = x/97.5

∴ x = $\frac{(49.5)(97.5)}{71.5}$ = 67.5

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