Answer:
YX = 22
Step-by-step explanation:
Similar triangles. So,
[tex]\frac{VW}{XW}=\frac{VZ}{YX}\\\\\frac{45}{30}=\frac{3x-9}{x+8}\\[/tex]
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
