The Solution.
By Similarity Theorem, we have that Trapezoid SUTW is congruent to trapezoid TWVX.
So,
Substituting these values into the ratio above, we get
Cross multiplying, we get
So, the correct value of x is 10.988
To find the length TW:
We substitute 10.988 for x in 2x-1
Thus, the correct answer is:
x = 10.988
TW = 20.976