Question

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

Explanation:

Step1: Set up equation for RT

Since $RT = RS+ST$ and $RS = 2x$, $ST=3x$, then $RT=2x + 3x=5x$.

Step2: Solve for x

Given $RT = 10$ cm and $RT = 5x$, we have the equation $5x=10$. Dividing both sides by 5 gives $x=\frac{10}{5}=2$.

Step3: Find ST

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

Answer:

6 centimeters