Question

find rs if s is between r and t. rs = 5x, st = 3x, rt = 48 (you should draw and work this out on paper before answering.)

Explanation:

Step1: Use segment - addition postulate

Since $S$ is between $R$ and $T$, we have $RS + ST=RT$. Substituting the given expressions, we get $5x + 3x=48$.

Step2: Combine like - terms

Combining the left - hand side of the equation $5x + 3x=48$, we have $8x = 48$.

Step3: Solve for $x$

Dividing both sides of the equation $8x = 48$ by 8, we get $x=\frac{48}{8}=6$.

Step4: Find $RS$

Since $RS = 5x$ and $x = 6$, then $RS=5\times6 = 30$.

Answer:

30