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if st = 14 and rt = 45, find rs. use the number line below. rs = (type …

Question

if st = 14 and rt = 45, find rs. use the number line below. rs = (type an integer or a decimal.) question 3, 1.3.13 hw score: 18%, 1.8 of 10 points o points: 0 of 1

Explanation:

Step1: Use segment - addition postulate

On a number - line, if we have three points $R$, $S$, and $T$ such that $S$ lies between $R$ and $T$, then $RT=RS + ST$.

Step2: Rearrange the formula to solve for $RS$

We can rewrite the formula as $RS=RT - ST$.

Step3: Substitute given values

Given $ST = 14$ and $RT = 45$, substituting these values into the formula $RS=45−14$.

Step4: Calculate the result

$RS = 31$.

Answer:

31