Here AC is the median of the isoceles trapezoid DEBF. Formula to find the median of a isoceles trapezoid is:
AC=
![(EB+DF)/(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/un3waxdmm7ydxsr5rnjyg04a32jq89sefc.png)
Next step is to plug in the values from the diagram in the abov formula. So,
![5.5=(x+4.4)/(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/u7glbg5xl2opyag0nwaeeqcwwp3xe03zzr.png)
Multiply by 2 to each sides.
11= x+4.4 Simplify.
11-4.4= x Subtract 4.4 from each sides.
So, x=6.6