Please let me know WHY you choose your answers please, I want to understand this more.

A. no

B. yes

C. yes

Step-by-step explanation:

A. not enough information is given other than the fact that ∠E ≡ ∠B (45°)

B. SAS (side angle side). To make ∠ABC into ∠DEF, you need to multiple the side lengths in ∠ABC by 3/2

12/x = 8 rearrange x = 3/2

C. AA (angle angle). ∠A is congruent to ∠Y and this is given by those two lines. ∠B is congruent to∠Z and this given because it has one line. This means that the other angle (C and X) would be congruent.

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92