Question

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

Answer 1

42.9 m

Explanation:

AMB and NMP are similar figures

AM = 67.2 - 32 = 35.2

Similar figures have sides in the same ratio

AM/NM = MB/MP

35.2/67.2 = x/81.9

x = 35.2/67.2 × 81.9

x = 42.9 m

Answer 2

42.9m

Explanation:

The topic is on similar triangle

you are comparing triangle MNP with triangle MAB

side AB is similar to NP

side MA is similar to MN

side MB is similar to MP

now MA = MN - AN

= 67.2 - 32

= 35.2m

MA/MN = MB/MP

35.2/67.2 = x/81.9

cross multiply and solve

x = 42.9m