find the value of c in a triangle where a = 6, b = 8, and c = 12.

117°

Step-by-step explanation:

Use the Law of Cosines:

c² = a² + b² - 2ab · cos C

12² = 6² + 8² - 2(6)(8)(cos C)

144 = 36 + 64 - 96 cos C

144 = 100 - 96 cos C

44 = -96 cos C

117° = C

james : x

karla : y = 6x - 3

total : 18 = 6x - 3 + x

18 = 7x - 3

18 + 3 = 7x

21 = 7x

21 /7 = x

x = 3

karla : 6(3) - 3 = 18 -3

answer is 12 years