Answer:
[tex]EF = 12[/tex]
Step-by-step explanation:
Given
[tex]CA =6n[/tex]
[tex]EF= n + 8[/tex]
Required
Find CN
From the attachment:
[tex]EF = CD\ and\ CD = DA[/tex]
Where
[tex]CA = CD + DA[/tex]
This means that:
[tex]CA = CD + CD[/tex]
[tex]CA = 2CD[/tex]
or
[tex]CA = 2*EF[/tex]
This gives:
[tex]6n = 2*(n+8)[/tex]
Open bracket
[tex]6n = 2n+16[/tex]
Collect anf simplify like terms
[tex]4n = 16[/tex]
[tex]n= 4[/tex]
So:
[tex]EF= n + 8[/tex]
[tex]EF = 4 + 8[/tex]
[tex]EF = 12[/tex]
