Answer:
19
Step-by-step explanation:
If C is the midpoint of KN, then KC = CN
So we can equate the expressions
[tex]KC= 2x+10[/tex]
[tex]CN= 4x+1[/tex]
KC = CN
[tex]2x+10=4x+1[/tex]
Subtract 2x on both sides
[tex]2x-2x+10=4x-2x+1[/tex]
[tex]10=2x+1[/tex]
Subtract 1 on both sides
[tex]9=2x[/tex]
Divide both sides by 2
[tex]x=4.5[/tex]
Now we find out KC
[tex]KC= 2x+10[/tex]
[tex]KC= 2(4.5)+10[/tex]
[tex]KC= 19[/tex]
