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
