a.
<K = <M = 50 ...Opposite angels are congruent
<K + <L = 180...Consecutive angles are supplementary
50 + <L = 180 so <L = 180 - 50 = 130
<L = <N = 130...Opposite angels are congruent
50 + <N = 180 so <N = 180 - 50 = 130
b.
MN = LK = 7...Opposite sides are congruent
KN = LM = 10...Opposite sides are congruent
For it to be non-linear, the rate of change cannot be constant. For the first table the rate is a constant 1 and the second table has a constant rate of -1. The 3rd and 4th tables have no constant rate and thus are non-linear.
The 4th table is increasing while the 3rd table is decreasing.
So the 3rd table, Set C, is the only non-linear negative association between x and y.
x = -1 makes the lengths of segments PQ and PR equal zero.
That is not possible, so the solution x = -1 is discarded.
x = 8
PS = 3x + 3 + 21
PS = 3x + 24
PS = 3(8) + 24
PS = 24 + 24
PS = 48
1 US pint = 473.176473 milliliters
473.176473 x 62 = 29,336.941326
29,336.941326 / 300 = 97.78980442
~ 97 glasses are in a pony keg
