Question

s is the midpoint of $overline{rt}$. if $rs = x + 6$ and $st = 7x$, what is $st?
simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since S is the mid - point of $\overline{RT}$, then $RS = ST$. So we set up the equation $x + 6=7x$.

Step2: Solve for x

Subtract x from both sides: $6 = 7x−x$. Simplify the right - hand side to get $6 = 6x$. Then divide both sides by 6: $x=\frac{6}{6}=1$.

Step3: Find the value of ST

Substitute $x = 1$ into the expression for ST. Since $ST = 7x$, then $ST=7\times1 = 7$.

Answer:

7