Respuesta :

BlueSky06
I have attached the image for this problem.

We are given
AD = y + 6 and DC = 2y

From the figure, we have the equation
AD = DC
Substituting the given 
y + 6 = 2y
Solving for y
y = 6

Subsituting the value of y in DC
DC = 2(6) = 12
Ver imagen BlueSky06
calculista

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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