If the length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10, find x.
1 answer:
Answer:
9
Step-by-step explanation:
The median is the average of the base lengths. Where "b" is the length of the other base, we have ...
36 = (44 +b)/2
b = 72 -44 = 28
We are told this is the same as 2x+10, so we have ...
28 = 2x +10
18 = 2x . . . . . subtract 10
9 = x . . . . . . . divide by 2
The value of x is 9.
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