Question #3f30e

1 Answer
Jan 12, 2018

5

Explanation:

As long as line segments VW and SU are parallel, then triangles TVW and TSU are similar, meaning that the sides are proportional.
.
Which means that:

(TV)/(TW) = (TV + VS)/(TW + WU)

We can plug the numbers in to the above equation, and solve for the quantity we don't know:

14/21 = (14 + 6)/(21 + WU)

we can cross multiply, enabling us to write:

14(21 + WU) = 21(20)

294 + 14WU = 420

14WU = 126

WU = 9

...and since we are given that WU = x + 4, then:

x = 5

GOOD LUCK