Same side interior angles CONVERSE also called consecutive interior angle CONVERSE.
IF (x - 30) + (x + 50) = 180 then, line line n || m.
x - 30 + x + 50 = 180
2x + 20 = 180
subtract 20 from both sides
2x = 160
divide both sides by 2
x = 80
IF (x - 30) + y = 180, then k || j.
(80 - 30) + y = 180
50 + y = 180
subtract 50 from both sides
y = 130
630 red marbles
420 yellow marbles
210 purple marbles
because 1260 x 1/2 = 630, 1260 x 1/3 = 420, 1260 x 1/6 = 210
8 because 6 months times 5 paintings each month is equal to 30. 38-30=8
It's the second choice. We have the parent graph of the absolute value function moved down only, not side to side. So there is no x movement to be indicated inside the absolute value symbols along with the x. When a function moves down, it is indicated by a negative in front of the number. Our parent graph [absolute value of x] is moved down by 2.5 so we have [abs.value x] - 2.5
