Mathematics: What is the value of x? (image attached) asap ! double points and giving brainliest to first correct answer! : )

beeners have no wee-weesStep-by-step explanation:...

What is the value of x? (image attached) asap

Kjcampbell2

15.01.2022

The value of x = 5 answer (a)

Step-by-step explanation:

∵ There is a line parallel to the base of the Δ and intersected the other two sides formed a small Δ inside the large triangle

∴ The small Δ and the large Δ are similar

∴ Their sides are proportion

∴ $\frac{x}{x+x+5}=\frac{x-2}{(x-2)(x+1)}$

∴ $\frac{x}{2x+5}=\frac{x-2}{2x-1}$

∴ x(2x - 1) = (x - 2)(2x + 5)

∴ 2x² - x = 2x² + 5x - 4x -10

∴ 2x² - x = 2x² + x - 10

∴ -x - x = -10

∴ -2x = -10

∴ x = -10 ÷ -2 = 5

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