SOLUTION: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x.
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Question 707260: the lengths of the bases of a trapezoid are represented by 4x+3 and 6x-9. If the median of a trapezoid measures 32, find x.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
(Base1 + Base2)/2 = Median ... ie if you average the base lengths, you get the median
(4x+3 + 6x-9)/2 = 32 ... plug in the known/given info and solve for x
4x+3 + 6x-9 = 32*2
4x+3 + 6x-9 = 64
10x-6 = 64
10x = 64+6
10x = 70
x = 70/10
x = 7
Answer: x = 7
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