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mario62 [17]
3 years ago
14

Can you find the y variable? ​

Mathematics
1 answer:
ELEN [110]3 years ago
3 0

Answer:

\large\boxed{y=27}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar (AA). Therefore the sides are in proportion:

\dfrac{AD}{DC}=\dfrac{DC}{DB}

We have:

AD=12,\ DC=18,\ DB=y

Substitute:

\dfrac{12}{18}=\dfrac{18}{y}             <em>cross multiply</em>

12y=(18)(18)

12y=324            <em>divide both sides by 12</em>

y=27

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