Question

If ABC ~ ADE then find the value of x

Answer 1

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