Find the value of x. PLEASE HELP ASAP

I don't want to be silly here, but

if x > 9 and < 13...

there is only one answer that is >9 and < 13

that is answer "A" (11)

Step-by-step explanation:

A. 11

Step-by-step explanation:

Hi there!

We're given the trapezoid EBFD, with bases (the parallel sides) EB and DF, which equal 9 and 13 respectively

AC is a segment that belongs to EBFD, and has the measure of x

AC is a midsegment, which is a segment that connects the midpoints of 2 sides

the midpoint divides a segment to create create two congruent segments

In this example, point A is a midpoint, as it divides ED into the congruent segments EA and AD (you can tell they are congruent by their markings)

C is also a midpoint, as it divides BF into the congruent segments BC and CF

line segment AC connects the points A and C together

anyway, the measure of a midsegment in a trapezoid is the average of the bases

in other words, the midsegment (AC, or x) is equal to (EB+DF)/2

since we know the measures of EB and DF, we can substitute them into the expression above to find x

x=(EB+DF)/2

x=(9+13)/2

add the numbers on the numerator

x=22/2

divide

x=11

So the answer is A

Hope this helps! :)