In the second half of the game, the wildcats again scored 18 points. this time, however, we don't know how many total shots were made. list all of the possible combinations of 2- and 3- point shots that could total 18 points. include a sentence explain how you know that you found all of the possible answers. me answer this would really appreciate it.

Lets start with the chain of 3's:

18 = 3 + 3 + 3 + 3 + 3 + 3          

But, we know that

3 + 3 = 2 + 2 + 2

Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.

Hence, the possible ways of combinations are listed below:

18 = 3 + 3 + 3 + 3 + 2 + 2 + 2                        (1)

18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2                  (2)

Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.