ΔABC ≅ ΔDEF
I find it easier to see the congruencies if I write them underneath each other:
∠A ≅ ∠D
≅
∠B ≅ ∠E
≅
∠C ≅ ∠F
≅
R is -6.
12 = -r +6
12 = 6 - r
12 - 6 = -r
6 = -r
r = -6
the first one is the correct answer
Answer:

Step-by-step explanation:
Cosine is the adjacent side over the hypotenuse (You can remember sin, cos, and tan by using sohcahtoa or sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite over adjacent). I think a picture would help, too.
I attached a picture of what I think the triangle would look like.
If the picture is right (we're assuming it is) and going with what we're given (the triangle was addressed as triangle XYZ, meaning that <u>angle Y is in the middle and that's the one we'll use</u>).
Looking at my picture then:
.