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3 years ago

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

Mathematics

2 answers:

Alex Ar [27]3 years ago

4 0

22/71.5 = 4/13
BP = 97.5 * 4/13
BP = 30
MB = MP - BP
MB = 67.5 ft

iragen [17]3 years ago

3 0

Answer:

x = 67.50 ft

Step-by-step explanation:

Consider, ΔMAB and ΔMNP,

∠M = ∠M (Common)

Given AB║NP and let MN as transversal,

∠MAB = ∠MNP (alternate angle)

Also, Given AB║NP and let MP as transversal,

∠MBA = ∠MPN (alternate angle)

Therefore, ΔMAB ≅ ΔMNP (By AAA similarity )

Thus, by CPCT,

$\frac{MA}{MN}=\frac{MB}{MP}=\frac{AB}{NP}$

consider first two ratios,

$\frac{MA}{MN}=\frac{MB}{MP}$

Substitute the values, MA = MN - AN = 49.5 ft

$\frac{49.5}{71.5}=\frac{x}{97.5}$

On solving for x , we get, x = 67.50 ft

Thus, value of x is 67.50 ft

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