The length of TU is 16.
Since U is the midpoint of TV, it means that TU is equal to UV. Therefore:
TU = UV
Given that UV = 2x, you can substitute this value into the equation:
TU = 2x
Now, you also have the information that TU = x + 8. Set up an equation:
x + 8 = 2x
Now, solve for x:
8 = x
Now that you know the value of x, substitute it back into the expression for TU:
TU = 2x
TU = 2(8)
TU = 16
So, TU is equal to 16.
Therefore, the length of TU is 16.
Question
U is the midpoint of TV . If TU = x + 8 and UV = 2x, what is TU?