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Mathematics 8 Online
OpenStudy (anonymous):

Quadrilateral DEFG is a rectangle. If DF = 2(x+5)-7 and EG = 3(x-2), find EG. a. 15 b. 18 c. 24 d. 21

OpenStudy (anonymous):

OpenStudy (anonymous):

Similar to the last problem, DF is equal to EG. Set the equations equal to each other. 2(x+5)-7=3(x-2) Distribute. 2x+10-7 = 3x-6 2x+3=3x-6 2x-3x = -6-3 -x = -9 x=9 Plug x back into the equation for EG. 3(9-2) = 3(7) = 21 (D)

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