In the diagram, ab is parallel to de. also, de is drawn such that the length of de is half the length of ab. if sin a = 0.5, then what is sin e?

a) 2
b) 1
c) 0.5
d) 0.25
e) 0.1

random answers will be reported!

C) 0.5

Step-by-step explanation:

Since DE is parallel to AB, angle FDE = ABF and  DEF = angle FAB

In fact, both triangles (ABF and DEF) are similar to each other because their interior angles are identical.

So, if sin(A) = 0.5, sin(E) = 0.5 too.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional