Question

point s lies between points r and t on rt. if rt is 10 centimeters long, what is st? r s t 2x 3x 6 centimeters 2 centimeters 8 centimeters 4 centimeters

Explanation:

Step1: Set up equation

Since $RT = RS+ST$ and $RS = 2x$, $ST=3x$, $RT = 10$ cm, we have $2x + 3x=10$.

Step2: Solve for x

Combining like - terms, $5x = 10$. Then $x=\frac{10}{5}=2$.

Step3: Find ST

Since $ST = 3x$ and $x = 2$, then $ST=3\times2 = 6$ cm.

Answer:

6 centimeters