Answer:
<em>The value of 
is 4.</em>
Step-by-step explanation:
Figure 
is a trapezoid, in which 
and 
are parallel sides.
Given that, 
and 
Now, <u>the length of the median</u> 
, <u>which is given as</u> 
So, the equation will be......
![\frac{1}{2}[(3x+10)+2x]=15\\ \\ \frac{1}{2}(5x+10)=15\\ \\ 5x+10=2(15)\\ \\ 5x+10=30\\ \\ 5x=30-10\\ \\ 5x=20\\ \\ x=\frac{20}{5}=4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%283x%2B10%29%2B2x%5D%3D15%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B2%7D%285x%2B10%29%3D15%5C%5C%20%5C%5C%205x%2B10%3D2%2815%29%5C%5C%20%5C%5C%205x%2B10%3D30%5C%5C%20%5C%5C%205x%3D30-10%5C%5C%20%5C%5C%205x%3D20%5C%5C%20%5C%5C%20x%3D%5Cfrac%7B20%7D%7B5%7D%3D4)
So, the value of is 4.
