Question

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

Answer 1

Answer:

Option C. $31\ units$

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

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

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

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