Can anyone help me as soon as possible??

Mathematics

1 answer:

Bogdan [553]3 years ago

7 0

Answer:

x = 16

Step-by-step explanation:

Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is

$\frac{ED}{CB}$ = $\frac{AD}{AB}$ , substitute values

$\frac{11}{8}$ = $\frac{6+x}{x}$ ( cross- multiply )

11x = 8(6 + x) ← distribute

11x = 48 + 8x ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16

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