Find the lengths of the segments with variable expressions

EF = 10;   AD = 3 ;     BC = 17        

Step-by-step explanation:

The median (EF) of a trapezoid equal half the sum of the length of the two bases of the trapezoid (AD and BC)

EF = 1/2 (AD + BC)

x = 1/2( x - 7 + 2x - 3)

x = 1/2 (3x - 10)      

2x = 3x - 10                  Multiply all terms by 2     or   x = 3/2x - 5

-x = -10                                                                         x - 3/2x  = -5

x = 10                                                                             -1/2x = -5

                                                                                      x = 10

So EF = 10

     AD = x - 7               BC = 2x - 3

     AD = 10 - 7             BC = 2(10) - 3

     AD = 3                   BC = 20 - 3    

                                    BC = 17                                                    

step-by-step explanation:

$97520

step-by-step explanation:

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