Question

PLEASE HELP ASAP!!!!

What is the value of x?

Enter your answer, as a decimal, in the box.
cm

Answer 1

x = 50.6

Explanation:

ΔMNP and ΔMAB are similar, hence the ratios of corresponding sides are equal, that is

`(MN)/(MA)` =
`(MP)/(MB)`

note that MA = 46.2 - 14 = 32.2, thus

`(46.2)/(32.2)` =
`(72.6)/(x)` ( cross- multiply )

46.2x = 2337.72 ( divide both sides by 46.2 )

x = 50.6