G 2. (15 pt) Let X be a set with an equivalence relation ∼. Recall that, for an element x ∈ X, the equivalence class of x is the set [x] := {y ∈ X | x ∼ y} . a) Write down the precise definition of an equivalence relation. b) Using only this definition and the definition of equivalence class above, prove that for two elements s, t ∈ X, [s] = [t] if and only if s ∼ t.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

it is not that hard all u have to do is plot the graph

step-by-step explanation: