Homework Help: Geometry

Posted by Alyssa on Friday, January 22, 2010 at 3:46am.

If the length of one base of a trapezoid is 5, the length of the other base is 2x + 7, and the length of the midsegment is 6x – 24, what is the value of x? Show equations and all work that leads to your answer.

Geometry - Reiny, Friday, January 22, 2010 at 10:31am
The midsegment of a trapezoid is the arithmetic mean of the two parallel sides

http://www.9math.com/book/midsegment-trapezoid

so 6x-24 = (5 + 2x+7)/2
12x - 48 = 2x + 12
10x = 60
x = 6

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