Answer:
x = 50.6
Step-by-step explanation:
ΔMNP and ΔMAB are similar, hence the ratios of corresponding sides are equal, that is
[tex]\frac{MN}{MA}[/tex] = [tex]\frac{MP}{MB}[/tex]
note that MA = 46.2 - 14 = 32.2, thus
[tex]\frac{46.2}{32.2}[/tex] = [tex]\frac{72.6}{x}[/tex] ( cross- multiply )
46.2x = 2337.72 ( divide both sides by 46.2 )
x = 50.6
