3 years ago

Find the length of YX

Mathematics

1 answer:

koban [17]3 years ago

8 0

Answer:

YX = 22

Step-by-step explanation:

Similar triangles. So,

$\frac{VW}{XW}=\frac{VZ}{YX}\\\\\frac{45}{30}=\frac{3x-9}{x+8}\\$

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

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