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If PQ= 3x + 30 & RS= 12x-33, and QR=2x+5

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and PR = QS, then x = ? and QS =? help on geom!

#solving-equations

asked Sep 8, 2014 in GEOMETRY by anonymous

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1 Answer

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PR = PQ+QR ( since AB = AO+OB)

= 3x + 30+2x+5

= 5x+35

QS = QR+RS

= 2x+5+12x-33

=14x-28

Given condition is PR=QS

5x+35 = 14x-28

63=9x

x=63/9

x=7

QS = 14x-28 = 14(7)-28 =98-28=70

x=7 , QS =70

answered Sep 8, 2014 by friend Mentor

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