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If ABC ~ ADE then find the value of x
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If ABC ~ ADE then find the value of x

If ABC ~ ADE then find the value of x-example-1
User Yin
by
7.8k points

1 Answer

5 votes

We have the following:

We can establish the following proportion


(20+8)/(2x+3)=(20)/(15)

solving for x


\begin{gathered} 28\cdot15=(2x+3)\cdot20 \\ 420=40x+60 \\ 40x=420-60 \\ x=(360)/(40) \\ x=9 \end{gathered}

Therefore, the value of x is 9

User Thomas Higginbotham
by
8.2k points
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