AzuriY111174 AzuriY111174
  • 25-10-2022
  • Mathematics
contestada

if ABC ~ ADE then find the value of x

if ABC ADE then find the value of x class=

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BaelfireJ111705 BaelfireJ111705
  • 25-10-2022

We have the following:

We can establish the following proportion

[tex]\frac{20+8}{2x+3}=\frac{20}{15}[/tex]

solving for x

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

Therefore, the value of x is 9

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