Question

Solve for X, please help

Answer 1

x = 6

Explanation:

If 3 or more parallel lines are intersected by two or more transversals , the parallel lines divide the transversals proportionally.

here 3 parallel lines are intersected by two transversals , then

`(1+4x)/(20)` =
`(15)/(27-15)`

`(1+4x)/(20)` =
`(15)/(12)` ( cross- multiply )

12(1 + 4x) = 20 × 15 = 300 ( divide both sides by 12 )

1 + 4x = 25 ( subtract 1 from both sides )

4x = 24 ( divide both sides by 4 )

x = 6