Respuesta :

y+6=2y
-y=-6
y=6
The length of DC is 12

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]


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