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5. If ACDE~ AFGE, find the value of x. Show your work.2740E25DF

5 If ACDE AFGE Find The Value Of X Show Your Work2740E25DF class=

Answer :

Given,

[tex]\Delta CDE\approx\Delta\text{FGE}[/tex]

The ratio of corresponding sides of similar triangles are equal.

Hence,

[tex]\begin{gathered} \frac{FE}{CE}=\frac{GE}{DE} \\ \frac{x}{27}=\frac{40}{25} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{40}{25}\times27 \\ =43.2 \end{gathered}[/tex]

Therefore, the value of x is 43.2.

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