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]
