Question

Please look on the pic Above

Answer 1

x = 2

Explanation:

If a line is parallel to a side of a triangle and it intersects the other 2 sides then it divides those sides proportionally, that is

`(6x+2)/(x +5)` =
`(24-8)/(8)` =
`(16)/(8)` = 2 ( multiply both sides by x + 5 )

6x + 2 = 2(x + 5)

6x + 2 = 2x + 10 ( subtract 2x from both sides )

4x + 2 = 10 ( subtract 2 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2