3 years ago

Find the value of x.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

8 0

Answer:

x = 4

Step-by-step explanation:

Since ∆ABC ~ ∆DBE, therefore:

$\frac{10 - x}{x} = \frac{3}{2}$

Cross multiply

$2(10 - x) = 3(x)$

$20 - 2x = 3x$

Add 2x to both sides

$20 - 2x + 2x = 3x + 2x$

$20 = 5x$

Divide both sides by 5

4 = x

x = 4

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