Answered

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Which value of x would make NO || Kj?
K
(x + 2) in.
N
оооо
(x - 3) in
8
L
(x-4) in. O
xin.
J

Which Value Of X Would Make NO Kj K X 2 In N Оооо X 3 In 8 L X4 In O Xin J class=

Sagot :

MrRoyal

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Find x

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

[tex]LN : LO = NK:OJ[/tex]

This gives:

[tex](x-3) : (x - 4) = (x +2) : (x)[/tex]

Convert to fractions

[tex]\frac{x-3}{x-4} = \frac{x+2}{x}[/tex]

Cross Multiply

[tex]x(x-3) = (x-4)(x+2)[/tex]

Open brackets

[tex]x^2-3x = x^2 -4x +2x - 8[/tex]

Collect Like Terms

[tex]x^2 - x^2-3x +4x -2x =- 8[/tex]

[tex]-3x +4x -2x =- 8[/tex]

[tex]-1x =- 8[/tex]

[tex]-x =- 8[/tex]

Multiply through by -1

[tex]-1 * -x =- 8*-1[/tex]

[tex]x = 8[/tex]

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