The measure of PS is 58 not 48 showing that the statement PS = 48 is false
Line segments
A line is a shortest distance between two points. If the measure of PQ is equivalent to QR where;
PQ = 3x - 7
QR = 2x + 2
PQ = QR
3x - 7 = 2x + 2
Collect the like term
3x - 2x = 2 + 7
x = 9
Determine RS
RS = x + 9
RS = 9 + 9
RS = 18
PS = PR + RS
PS = PQ + QR + RS
PS = 3x - 7 + 2x + 2 + 18
PS = 3(9) - 7 +. 2(9) + 20
PS = 27 - 7 + 38
PS = 20 + 38
PS = 58
Hence the measure of PS is 58 not 48 showing that the statement PS = 48 is false
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