Respuesta :
Answer:
[tex]DC=12\ units[/tex]
Step-by-step explanation:
Step 1
Find the value of y
In this problem we know that
[tex]AD=DC[/tex] -----> equation A
[tex]ED=DB[/tex]
see the attached figure to better understand the problem
so
we have
[tex]AD=y+6[/tex]
[tex]DC=2y[/tex]
substitute the values in the equation A
[tex]y+6=2y[/tex]
solve for y
[tex]2y-y=6[/tex]
[tex]y=6\ units[/tex]
Step 2
Find the value of DC
we have that
[tex]DC=2y[/tex]
substitute the value of y
[tex]DC=2(6)=12\ units[/tex]
