Option B: 58 is the length of TU
Explanation:
Given that RSTU is a trapezoid.
The length of RS is 30 and the length of XV is 44.
We need to determine the length of TU
The length of TU can be determined using the trapezoid mid segment theorem.
By trapezoid mid segment theorem, we have,
[tex]XV=\frac{RS+TU}{2}[/tex]
Where XV = 44, RS = 30 and TU = x.
Substituting these values, we have,
[tex]44=\frac{30+x}{2}[/tex]
Multiplying by 2, we get,
[tex]88=30+x[/tex]
Subtracting both sides by 30, we get,
[tex]58=x[/tex]
Thus, the length of TU is 58
Hence, Option B is the correct answer.
