Step-by-step Answer:
Two ways to find the answer.
1. Using sine rule, we have
d/sin(D) = f/sin(F) (d=EF, f=DE=3)
cross multiply and solve for d:
d=f*(sin(D)/sin(F) = 3*sin75/sin50 = 3.783.
2. using the theorem that if angle D is greater than angle F, then the length of the opposite side of D is also smaller than the opposite side of F.
Here D>F, so d>f. The only answer choice greater than 3 is 3.8, so there.
A. 21*(2/3) = 14 -----> not 3/2 (X
B. 7*(2/3) = 14/3 ----> not 14 (X
C. 21*(2/3) = 14 -----> equal 14 (O
D. 28*(2/3) = 56/4 -> not 42 (X
E. 42*(2/3) = 28 ----> equal 28 (O
F. 14*(2/3) = 28/3 --> not 21 (X
so the answer is C and E
Guatemalans would use milliliters because they use the metric system which is common throughout Latin America and which is basically easier to use than the Imperial system because it is all divisible by 10 whether it be millitres,litres,meters, kilometers etc.
I belive your answer is b.