Question

REPOST!!!!!! 20 POINTS!!!!!!

A, B, and C are points of tangency in the given Circle, a m equals 6, BK equals 4 in the perimeter of mkn is 34 ​

Answer 1

A

Explanation:

according to tangent property

we get

• AM=BM
• AN=CN
• BK=CK

Given that

• AM=6
• BK=4

Thus our equation is

`\rm \displaystyle 2AM + 2AN + 2BK = 34`

substitute the given values

`\rm \displaystyle 2.6+ 2AN+ 2.4 = 34`

simplify multiplication:

`\rm \displaystyle 12+ 2AN+ 8 = 34`

simplify addition:

`\rm \displaystyle 2AN+ 20= 34`

cancel 20 from both sides:

`\rm \displaystyle 2AN=14`

divide both sides by 2:

`\rm \displaystyle AN=7`

AN=CN

hence,CN=7

therefore our answer is A