Question

Please explain how to do this question I am at a loss.

Answer 1

x = 7

Explanation:

Δ JUT is similar to Δ JKL (AA postulate ) , then the ratios of corresponding sides are in proportion, that is

`(JU)/(JK)` =
`(UT)/(KL)` ( substitute values )

`(-4+4x)/(64)` =
`(36)/(96)` =
`(3)/(8)` ( cross- multiply )

8(- 4 + 4x) = 3 × 64 = 192 ( divide both sides by 8 )

- 4 + 4x = 24 ( add 4 to both sides )

4x = 28 ( divide both sides by 4 )

x = 7