Question

If C is the midpoint of KN what is KC?

A. 18


B. 4.5


C. 19


D. 9

Answer 1

19

Explanation:

If C is the midpoint of KN, then KC = CN

So we can equate the expressions

`KC= 2x+10`

`CN= 4x+1`

KC = CN

`2x+10=4x+1`

Subtract 2x on both sides

`2x-2x+10=4x-2x+1`

`10=2x+1`

Subtract 1 on both sides

`9=2x`

Divide both sides by 2

`x=4.5`

Now we find out KC

`KC= 2x+10`

`KC= 2(4.5)+10`

`KC= 19`