Use Laws of Sines and Cosines to find the measurement indicated. Round your answer to the nearest tenth.

Step-by-step explanation:

first of all, as the sum of all angles in a triangle is always 180°, the missing angle B is

B = 180 - 89 - 30 = 61°

the law of sine is

a/sin(A) = b/sin(B) = c/sin(C)

where the sides are always opposite of the associated angles.

14/sin(61) = AB/sin(30) = BC/sin(89)

BC = 14×sin(89)/sin(61) = 16.00451901...

so, 16 is the correct answer.

d. is the correct answer

step-by-step explanation:

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3