Question

if rs = 2x, st = x + 6, and rt = 9, what is rs? simplify your answer and write it as a proper fraction, mixed number, or integer.

Explanation:

Step1: Set up equation

Since $RS + ST=RT$, we have $2x+(x + 6)=9$.

Step2: Combine like - terms

Combining the $x$ terms on the left - hand side gives $3x+6 = 9$.

Step3: Isolate the variable term

Subtract 6 from both sides: $3x=9 - 6$, so $3x=3$.

Step4: Solve for $x$

Divide both sides by 3: $x = 1$.

Step5: Find $RS$

Since $RS = 2x$ and $x = 1$, then $RS=2\times1=2$.

Answer:

2