Question

Complete$RS=\_\_\_\_\_$ and$ST=\_\_\_\_\_$

Short answer

The blank spaces should be filled with 3.

Step-by-step solution

Step 1. Observe the provided symbols.

The representation of the length of segment $\overline{ST}$is represented with the symbol $ST$ it is same for another symbol $RS$. So, the value of both the given symbols $RS$ and $ST$ can be determined by finding the length of the line segments $\overline{RS}$and$\overline{ST}$ respectively.

Step 2. Calculate the value of RS and ST

Calculate the value of $RS$ by using the value of points $R$ and $S$.

localid="1649143509778" $$\begin{gathered} RS=\left|-2-\left(-5\right)\right| \\ =\left|2+5\right| \\ =\left|3\right| \\ =3 \end{gathered}$$

Calculate the value of $ST$ by using the value of points $S$ and $T$.

localid="1649143967936" $$\begin{gathered} ST=\left|1-\left(-2\right)\right| \\ =\left|1+2\right| \\ =\left|3\right| \\ =3 \end{gathered}$$

Step 3. Make the conclusion.

AS the value of $RS$ and $ST$ returns 3 so both the blank spaces should be filled with 3.