Question

Find the value of EB.
A. 5
B. 11
C. 31
D. 25

Answer 1

Option C.
`31\ units`

Explanation:

Observing the figure

The point E is the midpoint segment FA and the point B is the midpoint segment CD

therefore

`(1/2)(AD+FC)=EB`

substitute the given values and solve for x

`(1/2)(38+6x-6)=7x-4`

`(32+6x)=14x-8`

`14x-6x=32+8`

`8x=40`

`x=5`

Find the value of EB

`EB=7x-4`

substitute the value of x

`EB=7(5)-4=31\ units`