Answer: 22 cm
Step-by-step explanation:
ΔMNP ~ ΔMAB
[tex]\text{Create the proportion}:\\\dfrac{MN}{MP}=\dfrac{MA}{MB}\\\\\\\text{Substitute the values for the sides used in the proportion (above)}:\\\dfrac{46.2}{72.6}=\dfrac{46.2-14}{72.6-x}\\\\\\\text{Cross Multiply}:\\46.2(72.6 - x)=72.6(32.2)\\\\\\\text{Distribute and solve for x}:\\3354.12-46.2x=2337.72\\.\qquad \quad -46.2x=-1016.4\\.\qquad \qquad \qquad x=22[/tex]
