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This is my question​

This is my question​-example-1

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Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,


(DE)/(AB) = (DC)/(AC)


(4)/(3) = (x + 3)/(x + 1)

Solve for x


4(x + 1) = 3(x + 3)


4x + 4 = 3x + 9


4x + 4 - 4 = 3x + 9 - 4


4x = 3x + 5


4x - 3x = 3x + 5 - 3x


x = 5

Use the value of x to find AC and DC


AC = x + 1 = 5 + 1 = 6


DC = x + 3 = 5 + 3 = 8

User Sarath Joseph
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