domdomsom domdomsom
  • 14-02-2019
  • Mathematics
contestada

Can you find the y variable? ​

Can you find the y variable class=

Respuesta :

gmany
gmany gmany
  • 20-02-2019

Answer:

[tex]\large\boxed{y=27}[/tex]

Step-by-step explanation:

Look at the picture.

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

[tex]\dfrac{AD}{DC}=\dfrac{DC}{DB}[/tex]

We have:

[tex]AD=12,\ DC=18,\ DB=y[/tex]

Substitute:

[tex]\dfrac{12}{18}=\dfrac{18}{y}[/tex]             cross multiply

[tex]12y=(18)(18)[/tex]

[tex]12y=324[/tex]            divide both sides by 12

[tex]y=27[/tex]

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