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3 years ago

Solve for x Can someone please check my answer?? Thx:)

Mathematics

1 answer:

Andreas93 [3]3 years ago

6 0

<h3>Answer:</h3>

x=2

<h3>Step-by-step explanation:</h3>

Using similarity and enlargement;

ΔABE is similar to ΔACD

Therefore, the ratios of corresponding sides will be equal.
That is; AC/AB = AD/AE = CD/BE

In this case;

AC = 48

AB = 36

AE = 24

AD = 24 + 6x - 4

= 20 + 6x

Therefore;

$\frac{48}{36}=\frac{20+6x}{24}$

Thus;

(48 × 24) = 36(20 + 6x)

1152 = 720 + 216x

216x = 1152 - 720

216x = 432

x = 432 ÷ 216

= 2

Therefore, the value of x is 2

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