Question

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

Answer 1

x=2

Explanation:

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;

`(48)/(36)=(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