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

Question

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

anonymous · Answer

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anonymous · Answer

@Adi3 @Hoslos

anonymous · Answer

Hi there again. Those straight lines are parallel and hence proportional to each other.

anonymous · Answer

I would say the answer is D.
To find the median, you have to find the average of the 2 values which are in the middle of an array of numbers.
Though we do not have a large array, we can still consider the last two middle values , which are 5x-7 and 6x+6 and again, the resultant median is 27 .
Mathematically expressing, this means that:
$$\frac{ (5x-7)+(6x+6) }{ 2}=27$$

anonymous · Answer

It then becomes $$\frac{ 11x-1 }{ 2 }=27$$

anonymous · Answer

After that, 11x-1=54
11x=55
x=5