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

Let the length of the second base be x

then

\frac{x+24}{2}=19

x+24=38

x=38-24=14 units

Length of the midsegment = 1/2(1st base + 2nd base)

Lets x = length of 2nd base

19 = 1/2(27 + x)

38 = 27 + x

x = 11

Length of 2nd base = 11

answerthe vertex form

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