Answer: VW=18
Explanation:
Since we know that the line segment is UW, we know that it consists of UV and UW. Therefore, we add UT and VW, and set it equal to UW to find x.
10+4x=6x+1 [subtract each side by 1]
9+4x=6x [subtract both sides by 4x]
9=2x [divide both sides by 2]
x=9/2
Now that we have found x, we can plug it into VW to find the length.
VW=4(9/2) [multiply]
VW=18