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 ​

REPOST 20 POINTSA 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 class=

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Nayefx

Answer:

A

Step-by-step explanation:

according to tangent property

we get

  • AM=BM
  • AN=CN
  • BK=CK

Given that

  • AM=6
  • BK=4

Thus our equation is

[tex] \rm \displaystyle 2AM + 2AN + 2BK = 34[/tex]

substitute the given values

[tex] \rm \displaystyle 2.6+ 2AN+ 2.4 = 34[/tex]

simplify multiplication:

[tex] \rm \displaystyle 12+ 2AN+ 8 = 34[/tex]

simplify addition:

[tex] \rm \displaystyle 2AN+ 20= 34[/tex]

cancel 20 from both sides:

[tex] \rm \displaystyle 2AN=14[/tex]

divide both sides by 2:

[tex] \rm \displaystyle AN=7[/tex]

AN=CN

hence,CN=7

therefore our answer is A

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