Question

Which value of x would make NO || Kj?

Answer 1

Answer:

$x = 8$

Step-by-step explanation:

Given

The attached figure

Required

Find x

To find x, we make use of the following equivalent ratios:

$LN : LO = NK:OJ$

This gives:

$(x-3) : (x - 4) = (x +2) : (x)$

Convert to fractions

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

Cross Multiply

$x(x-3) = (x-4)(x+2)$

Open brackets

$x^2-3x = x^2 -4x +2x - 8$

Collect Like Terms

$x^2 - x^2-3x +4x -2x =- 8$

$-3x +4x -2x =- 8$

$-1x =- 8$

$-x =- 8$

Multiply through by -1

$-1 * -x =- 8*-1$

$x = 8$