beyya1 beyya1
  • 01-05-2021
  • Mathematics
contestada

PLEASE HELP Find
y, such that ABC ~ DEF.

PLEASE HELP Find y such that ABC DEF class=

Respuesta :

MrRoyal
MrRoyal MrRoyal
  • 06-05-2021

Answer:

[tex]y =12[/tex]

Step-by-step explanation:

Given

ABC similar to DEF

Required

Find y

To do this, we make use of the following equivalent ratios.

[tex]AB : AC = DE : DF[/tex]

Using the values in the attachment, we have:

[tex]9 : 18 = 6 : y[/tex]

Express as fraction

[tex]\frac{9 }{ 18 }= \frac{6 }{ y}[/tex]

[tex]\frac{1 }{2 }= \frac{6 }{ y}[/tex]

Solve for y

[tex]y = 6 * 2[/tex]

[tex]y =12[/tex]

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