Let’s determine the first Wednesday. This would be 26 - 7n until we reach a number between 1 and 7. Thus, this would be 26 - 7(3) = 5. Thus, the 5th day of that month was a Wednesday. 4th = Tuesday, 3rd = Monday, 2nd = Sunday, and 1st = Saturday. Thus, the first day of the month was Saturday.
8% of the kids are left handed. I used 12/150 to yield 0.08 which equals 8%
Answers:
- Part A) There is one pair of parallel sides
- Part B) (-3, -5/2) and (-1/2, 5/2)
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Explanation:
Part A
By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.
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Part B
The midsegment has both endpoints as the midpoints of the non-parallel sides.
The midpoint of segment PS is found by adding the corresponding coordinates and dividing by 2.
x coord = (x1+x2)/2 = (-4+(-2))/2 = -6/2 = -3
y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2
The midpoint of segment PS is (-3, -5/2)
Repeat those steps to find the midpoint of QR
x coord = (x1+x2)/2 = (-2+1)/2 = -1/2
y coord = (x1+x2)/2 = (3+2)/2 = 5/2
The midpoint of QR is (-1/2, 5/2)
Join these midpoints up to form the midsegment. The midsegment is parallel to PQ and RS.
Answer:
y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.