Question

1. c is between q and r
2. t is between m and n

c is between a and e. for each problem, draw a picture representing the three points and the information given. solve for indicated.

1. if ac = 24 in. and ce = 13 in., ae=
2. if ce = 7in. and ae = 23 in., ac=

find qr in the following problems. r is between q and s.

1. if rs = 44.6 and sq = 68.4, find qr.
2. if rs = 33.5 and rq = 80, find sq.

refer to the figure and the given information to find each measure.
given: ac = 39 m
given the figure and dg = 60 ft.

Explanation:

Step1: Recall segment - addition postulate

If a point \(R\) is between points \(Q\) and \(S\), then \(QS=QR + RS\), which can be rewritten as \(QR=QS - RS\) or \(QS=RQ+RS\).

Step2: Solve problem 7

Given \(RS = 44.6\) and \(SQ = 68.4\). Using the formula \(QR=SQ - RS\), we substitute the values: \(QR=68.4−44.6\).
\[QR = 23.8\]

Step3: Solve problem 8

Given \(RS = 33.5\) and \(RQ = 80\). Using the formula \(SQ=RQ + RS\), we substitute the values: \(SQ=80 + 33.5\).
\[SQ=113.5\]

Answer:

1. \(QR = 23.8\)
2. \(SQ = 113.5\)