Question

if qr = 8, rs = 4x, and qs = 8x, what is rs? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Use segment - addition postulate

Since $QS=QR + RS$, we substitute the given values: $8x=8 + 4x$.

Step2: Solve the equation for $x$

Subtract $4x$ from both sides: $8x-4x=8 + 4x-4x$, which simplifies to $4x=8$. Then divide both sides by 4: $x = 2$.

Step3: Find the value of $RS$

Since $RS = 4x$ and $x = 2$, then $RS=4\times2=8$.

Answer:

8