Question

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

X+8 NO
5x+4 MP
A. 6
B. 18
C. 2
D. 5
E. 7
F. Cannot be determined

Answer 1

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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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Answer 2

1. Given the bases a and b of a trapezoid, the length of the median m can be found by the formula
`m= (a+b)/(2)`

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


`24= ((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