To find the value of x, we can use the fact that triangle URW is similar to triangle VWT.
The ratio of corresponding sides in similar triangles is equal. Therefore, we can set up the following equation:
12/3y = 15.9/11
Cross multiplying, we get:
12 * 11 = 3y * 15.9
132 = 47.7y
Dividing both sides by 47.7, we get:
y ≈ 2.77
Now, since triangle SUV is similar to triangle URW, we can use the same ratio to find the value of x:
2x/15.9 = 3y/12
Substituting the value of y we found:
2x/15.9 = 3 * 2.77 / 12
Simplifying:
2x/15.9 = 8.31 / 12
Cross multiplying:
2x * 12 = 8.31 * 15.9
24x = 132.42
Dividing both sides by 24:
x ≈ 5.51
Therefore, the value of x is approximately 5.51.
So, the correct answer is (5.5).