Question

What is the value of x?

Answer 1

x = 31.5

Explanation:

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

`(6)/(27-6)` =
`(7)/(x)`

`(6)/(21)` =
`(7)/(x)` ( cross- multiply )

6x = 21 × 7 = 147 ( divide both sides by 6 )

x = 24.5

Answer 2

x = 24.5

Explanation:

27/(x + 7) = (27 - 6)/x

27x = (x + 7)(21)

27x = 21x + 147

6x = 147

x = 24.5