Question

Given the median 24 and trapezoid MNOP what is the value of x

Answer 1

1. Given the bases a and b of a trapezoid, the length of the median m can be found by the formula $m= \frac{a+b}{2}$

2. MP and NO are the bases so applying the above formula: 

$24= \frac{(x+8)+(5x+4)}{2}$

$48= 6x+12$

$6x=36$

x=6

Check the picture for the proof of the theorem m=(a+b)/2

Answer 2

Question 4 of 10

Multiple Choice: Please select the best answer and click "submit."

Given the median and trapezoid MNOP, what is the value of x?

Answer: 6

A. 6

B. 18

C. 2

D. 5

E. 7

F. Cannot be determined

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