SOLUTION: EF is a median of a trapezoid ABCD. AB equals 3x-1, EF equals 10, and DC equals 7x+1. What is the value of x

Algebra ->  Parallelograms -> SOLUTION: EF is a median of a trapezoid ABCD. AB equals 3x-1, EF equals 10, and DC equals 7x+1. What is the value of x      Log On


   

Question 745506: EF is a median of a trapezoid ABCD. AB equals 3x-1, EF equals 10, and DC equals 7x+1. What is the value of x
Answer by savvyhush23(50) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that AB and DC is the bases of a trapezoid,
The median is: m=%28base1%2Bbase2%29%2F2
10=%28%283x-1%29%2B%287x%2B1%29%29%2F2
20=10x
Therefore, x = 2