Question

Solve for x using the given diagram

Answer 1

x = 1

Explanation:

Look a t the picture.

The triangles on the picture are similar.

Therefore the sides are in proportion:

`(8x)/(10)=(4)/(5x)` cross multiply

`(8x)(5x)=(4)(10)`

`40x^2=40` divide both sides by 40

`x^2=1\to x=\sqrt1\\\\x=1`