Question

Which value of x would make NO || KJ?
1
6
8
10

Answer 1

8

Explanation:

Answer 2

x = 8

Explanation:

If NO is parallel to KJ then the sides LK and LJ are in proportion, that is

`(KN)/(NL)` =
`(JO)/(OL)`, substitute values

`(x+2)/(x-3)` =
`(x)/(x-4)` (cross- multiply )

x(x - 3) = (x + 2)(x - 4) ← expand factors on both sides

x² - 3x = x² - 2x - 8 ( subtract x² - 2x from both sides )

- x = - 8 ( multiply both sides by - 1 )

x = 8