Question

If$U$is the midpoint of $\overline{TV}$, find the value of $x$.

Short answer

The number 9 represents itself as the value of $x$.

Step-by-step solution

Step 1. Observe the number line.

The provided line represents that the midpoint $U$represents the segment $\overline{TV}$in two segments which are $\overline{TU}$and $\overline{UV}$are equal to each other.

Step 2. Determine the value of x.

Calculate the value of $x$by equating the value of segments $\overline{TU}$and $\overline{UV}$.

localid="1649145508511" $$\begin{gathered} \overline{TU}=\overline{UV} \\ 5-1=x-5 \\ 4=x-5 \\ x=4+5 \\ x=9 \end{gathered}$$

Step 3. Make the conclusion by using the value of x.

On equating both the divided segments of the segment $\overline{TV}$the number 9 represents itself as the value of $x$.