Question

PLEASE HELPP AND SHOW WORK​

Answer 1

Answer:

x = 25

Step-by-step explanation:

From the picture attached,

ΔABC and ΔADE are the similar triangles.

Therefore, their corresponding sides will be in the same ratio.

$\frac{\text{AB}}{\text{AD}}=\frac{\text{AC}}{\text{AE}}=\frac{\text{BC}}{\text{DE}}$

$\frac{\text{AB}}{\text{AD}}=\frac{\text{BC}}{\text{DE}}$

And AB = AD + DB

             = 2(AD) [Since, AD = DB]

By substituting these values,

$\frac{\text{2AD}}{\text{AD}}=\frac{\text{34}}{\text{(x-8)}}$

2 = $\frac{34}{x-8}$

x - 8 = $\frac{34}{2}$

x - 8 = 17

x = 17 + 8

x = 25