Answer:
Option C. [tex]31\ units[/tex]
Step-by-step explanation:
Observing the figure
The point E is the midpoint segment FA and the point B is the midpoint segment CD
therefore
[tex](1/2)(AD+FC)=EB[/tex]
substitute the given values and solve for x
[tex](1/2)(38+6x-6)=7x-4[/tex]
[tex](32+6x)=14x-8[/tex]
[tex]14x-6x=32+8[/tex]
[tex]8x=40[/tex]
[tex]x=5[/tex]
Find the value of EB
[tex]EB=7x-4[/tex]
substitute the value of x
[tex]EB=7(5)-4=31\ units[/tex]
