Question

What is the value of x?​

Answer 1

Answer:

x = 67.5 ft

Step-by-step explanation:

∵ AB//NP

∴ m∠MAB = m∠MNP⇒(1) corresponding angle

∴ m∠MBA = m∠MPN⇒(2) corresponding angle

In the two triangles MAB and MNP

∠M is a common angle in the two triangles

Use  (1) and (2)

∴ The two triangles are similar

∴$\frac{MA}{MN}=\frac{MB}{MP}$

∵NA = 22 ft and NM = 71.5 ft

∴MA = 71.5 - 22 = 49.5 ft

∴$\frac{49.5}{71.5}=\frac{x}{97.5}$

∴$x=\frac{(97.5)(49.5}{71.5}=67.5 ft$

Answer 2

67.5ft would be the correct answer