18. what is the length of the 2nd base of a trapezoid if the length of one base is 27 and the length of the midsegment is 19? show your work.

length of second base = 11 units

Explanation:
Assume that the second base is x

The mid-segment in a trapezoid is calculated as follows:
mid-segment = (first base + second base) / 2

We have:
mid-segment = 19
first base = 27
second base = x

Substitute in the equation and solve for x as follows:
mid-segment = (first base + second base) / 2
19 = (27+x) / 2
19*2 = 27+x
38 = 27+x
x = 38 - 27
x = 11 units

Hope this helps :)