<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;
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