Question

What is the value of X as a decimal

Answer 1

x = 54.6m

Explanation:

ΔMAB and ΔMNP are similar. Therefore the sides are in proportion:

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

We have

`MA=80.5m-35m=45.5m\\MN=80.5m\\MB=x\\MP=96.6m`

Substitute:

`(45.5)/(80.5)=(x)/(96.6)` cross multiply

`80.5x=(45.5)(96.6)`

`80.5x=4395.3` divide both sides by 80.5

`x=54.6`