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Can someone please help me find the valu of X?

Can someone please help me find the valu of X?-example-1
User Mowwwalker
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1 Answer

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The midsegment determines a smaller triangle that is similar to the larger triangle. If two triangles are similar, then their side lengths are at the same ratio, so that:


\begin{gathered} (5x)/(45)=(20)/(20+16) \\ (5x)/(45)=(20)/(36) \end{gathered}

From this expression, you can determine the value of x:

-First. multiply both sides by 45:


\begin{gathered} 45((5x)/(45))=45((20)/(36)) \\ 5x=25 \end{gathered}

-Second, divide both sides by 5 to determine the value of x:


\begin{gathered} (5x)/(5)=(25)/(5) \\ x=5 \end{gathered}

The value of x is equal to 5

User Matilda
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