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Rufina [12.5K]
3 years ago
6

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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