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11Alexandr11 [23.1K]
3 years ago
12

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

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0

Answer:

<h2>x = 67.5 ft</h2>

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

\dfrac{AM}{NM}=\dfrac{BM}{PM}

We have

AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft

Substitute:

\dfrac{49.5}{71.5}=\dfrac{x}{97.5}       <em>cross multiply</em>

71.5x=(49.5)(97.5)

71.5x=4826.25           <em>divide both sides by 71.5</em>

x=67.5

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