Question

PLEASE HELPP AND SHOW WORK​

Answer 1

x = 25

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 =
`(34)/(x-8)`

x - 8 =
`(34)/(2)`

x - 8 = 17

x = 17 + 8

x = 25