Respuesta :

Answer:

B. 13.3

Step-by-step explanation:

Given:

AM = 6

MB = 4

AN = 8

Since ∆ABC ~ ∆AMN, therefore:

AB/AM = AC/AN

AB = AM + MB = 6 + 4 = 10

AC = AN + NC = 8 + NC

Plug in the values into the equation

10/6 = (8 + NC)/8

5/3 = (8 + NC)/8

Cross multiply

8*5 = 3(8 + NC)

40 = 24 + 3NC

40 - 24 = 3NC

16 = 3NC

Divide both sides by 3

5.3 = NC

NC = 5.3

✅AC = 8 + NC

Plug in the value of NC

AC = 8 + 5.3

AC = 13.3

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