Question

This is my question​

Answer 1

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

$\frac{DE}{AB} = \frac{DC}{AC}$

$\frac{4}{3} = \frac{x + 3}{x + 1}$

Solve for x

$4(x + 1) = 3(x + 3)$

$4x + 4 = 3x + 9$

$4x + 4 - 4 = 3x + 9 - 4$

$4x = 3x + 5$

$4x - 3x = 3x + 5 - 3x$

$x = 5$

Use the value of x to find AC and DC

$AC = x + 1 = 5 + 1 = 6$

$DC = x + 3 = 5 + 3 = 8$