Question

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

Answer 1

@Adi3 @Hoslos

Answer 2

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

Answer 3

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:
\[\frac{ (5x-7)+(6x+6) }{ 2}=27\]

Answer 4

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

Answer 5

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