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Delvig [45]
3 years ago
8

Which value of x would make NO || Kj?

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

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

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