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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

Respuesta :

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

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

[tex]24= \frac{(x+8)+(5x+4)}{2}[/tex]

[tex]48= 6x+12[/tex]

[tex]6x=36[/tex]

x=6

Check the picture for the proof of the theorem m=(a+b)/2
Ver imagen eco92
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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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