Question

Find the length of YX

Answer 1

YX = 22

Explanation:

Similar triangles. So,

`(VW)/(XW)=(VZ)/(YX)\\\\(45)/(30)=(3x-9)/(x+8)\\`

Cross multiplication

45*(x+8) = 30 * (3x - 9)

45x + 360 = 90x - 270

360 = 90x - 270 - 45x

360 = 45x - 270

360 + 270 = 45x

45x = 630

x = 630/45

x = 14

YX = x +8 = 14 + 8 = 22