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Somebody help me ASAP please

Somebody help me ASAP please-example-1
User Porculus
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1 Answer

3 votes

Answer: 22 cm

Explanation:

ΔMNP ~ ΔMAB


\text{Create the proportion}:\\(MN)/(MP)=(MA)/(MB)\\\\\\\text{Substitute the values for the sides used in the proportion (above)}:\\(46.2)/(72.6)=(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

User Sanket Vekariya
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5.7k points