Answer:
x = 50.6
Step-by-step explanation:
Since AB is parallel to NP and intersects the other 2 sides, it divides those sides proportionally, that is
[tex]\frac{MA}{AN}[/tex] = [tex]\frac{MB}{BP}[/tex]
MA = 46.2 - 14 = 32.2 and BP = 72.6 - x, hence
[tex]\frac{32.2}{14}[/tex] = [tex]\frac{x}{72.6-x}[/tex] ( cross- multiply )
14x = 32.2(72.6 - x) ← distribute
14x = 2337.72 - 32.2x ( add 32.2x to both sides )
46.2x = 2337.72 ( divide both sides by 46.2 )
x = 50.6
