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Help plssssssssss i want it fast​

Help plssssssssss i want it fast​-example-1

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Answer:

x = 4

Explanation:

assuming you require to find the value of x

Δ ADE and Δ ACB are similar ( by the AA postulate )

then the ratios of corresponding sides are in proportion, that is


(AD)/(AC) =
(AE)/(AB) ( substitute values )


(x)/(x+x-2) =
(x+2)/(x+2+x -1)


(x)/(2x-2) =
(x+2)/(2x+1) ( cross- multiply )

(2x - 2)(x + 2) = x(2x + 1) ← expand left side using FOIL

2x² + 2x - 4 = 2x² + x ( subtract 2x² + x from both sides )

x - 4 = 0 ( add 4 to both sides )

x = 4

User Mierzej
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