Question

find qr in the following problems. r is between q and s. 7. if rs = 44.6 and sq = 68.4, find qr. 8. if rs = 33.5 and rq = 80, find sq.

Explanation:

Problem 7

Step1: Recall segment addition postulate

Since \( R \) is between \( Q \) and \( S \), we have \( SQ = QR + RS \). We need to solve for \( QR \), so we can rearrange the formula to \( QR = SQ - RS \).

Step2: Substitute the given values

We know \( SQ = 68.4 \) and \( RS = 44.6 \). Substituting these values into the formula, we get \( QR = 68.4 - 44.6 \).

Step3: Perform the subtraction

\( 68.4 - 44.6 = 23.8 \)

Step1: Recall segment addition postulate

Since \( R \) is between \( Q \) and \( S \), we have \( SQ = QR + RS \).

Step2: Substitute the given values

We know \( QR = 80 \) and \( RS = 33.5 \). Substituting these values into the formula, we get \( SQ = 80 + 33.5 \).

Step3: Perform the addition

\( 80 + 33.5 = 113.5 \)

Answer:

\( QR = 23.8 \)

Problem 8