Question

What is the value of X as a decimal

Answer 1

Answer:

x = 54.6m

Step-by-step explanation:

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

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

We have

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

Substitute:

$\dfrac{45.5}{80.5}=\dfrac{x}{96.6}$           cross multiply

$80.5x=(45.5)(96.6)$

$80.5x=4395.3$           divide both sides by 80.5

$x=54.6$