Answer:
Part 1) The value of y=6
Part 2) ED=36, DB=36 and EB=72
Step-by-step explanation:
In this problem we know that
ED=DB -----> equation A
EB=ED+DB -----> equation B
The point D is the midpoint ED
see the attached figure to better understand the problem
step 1
Find the value of y
Substitute the given values in the equation A
[tex]5y+6=y+30[/tex]
solve for y
[tex]5y-y=30-6[/tex]
[tex]4y=24[/tex]
[tex]y=6[/tex]
step 2
Find the value of ED,DB and EB
[tex]ED=5y+6[/tex]
substitute the value of y
[tex]ED=5(6)+6=36[/tex]
Remember that
ED=DB
therefore
[tex]DB=36[/tex]
Find the value of EB
EB=ED+DB
[tex]EB=36+36=72[/tex]
