Question

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

Answer 1

Answer:

8

Step-by-step explanation:

Answer 2

Answer:

x = 8

Step-by-step explanation:

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

$\frac{KN}{NL}$ = $\frac{JO}{OL}$, substitute values

$\frac{x+2}{x-3}$ = $\frac{x}{x-4}$ (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