Answer:
[tex]AB = 7[/tex]
Step-by-step explanation:
Given
[tex]DC = 11[/tex]
[tex]MN = 9[/tex]
Required
Find AB
Since MN is the midpoint, then:
[tex]MN = \frac{1}{2}(AB + DC)[/tex]
[tex]9 = \frac{1}{2}(AB + 11)[/tex]
Multiply by 2
[tex]2 * 9 = \frac{1}{2}(AB + 11)*2[/tex]
[tex]18 = AB + 11[/tex]
[tex]AB = 18 - 11[/tex]
[tex]AB = 7[/tex]
