Respuesta :

Answer:

3 units  

Step-by-step explanation:

The computation of the length of DC is shown below:

As we can see from the attached figure that the DE is parallel to BC with the help of  basic proportionality theorem

Now the equation is

[tex]\frac{AE}{EB} = \frac{AD}{DC}[/tex]

[tex]\frac{12}{4} = \frac{9}{DC}[/tex]

DC × 12 = 9 × 4

DC ×  12 = 36

So, DC

= 36 ÷ 12

DC = 3 units  

Hence, the correct option is b. which determines the length of DC

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