Question

r is the midpoint of $overline{qs}$. if $qr = x + 7$ and $rs = 2x$, what is $qr$? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use mid - point property

Since $R$ is the mid - point of $\overline{QS}$, then $QR = RS$. So we set up the equation $x + 7=2x$.

Step2: Solve for $x$

Subtract $x$ from both sides of the equation: $x+7 - x=2x - x$. This gives $7 = x$.

Step3: Find the value of $QR$

Substitute $x = 7$ into the expression for $QR$. Since $QR=x + 7$, then $QR=7 + 7=14$.

Answer:

14