Q12. - Geometry

Question

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

Step-by-Step Solution

Answer

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

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 $\overline{UV}$.

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

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 $x$.