Alternate interior, they are inside the lines & on opposite sides !!
#17
Use property that the diagonals of a parallelogram bisect each other, =>
x+y=18
y+(can't read)=22
Solve for x and y.
#18
z+60=180 [angles on a line are supplementary]
x=z [opposite angles of a parallelogram are congruent]
y=50 [alternate interior angles between parallel lines AD and BC]
#19
3v=30 [ opposite sides of a parallelogram are congruent ]
solve for v.
2u-1=19 [ ditto ]
solve for u.
#20
(a) AB//DC [ adjacent angles are supplementary ]
(b) PS//QR [ ditto ]
#21
1) a parallelogram with one angle 90 means the adjacent angles are 180-90=90. This in turn means all angles are 90, so the figure is a rectangle (adjacent sides may or may not be equal in a parallelogram).
2) a rectangle with adjacent sides equal must be a square.
Answer:
Women: 448 Men: 560 Children: 1232
Step-by-step explanation:
5+4+11 = 20/2240 = 112
Women = 4 x 112 = 448
Men = 5 x 112 = 560
Children = 11 x 112 = 1232
Total = 1232 + 560 +448 = 2240
The ratio is 1/1.5 so just pick the answers where the first number multiplied by 1.5 is equal to the second number.
For example the first option says 2 and 3.
2 times 1.5 is equal 3 so that is one of the answers.
If an option says 4 and 5, 4 times 1.5 is 6 not 5 so that wouldn't be an answer.
Answer:
12(3+5)
Step-by-step explanation:
The greatest common factor is 12
12*3 + 12*5
12(3+5)