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:
The Answer is B) There is a positive correlation between them.
Step-by-step explanation:
There is a positive correlation between them. Since the points on the graph tend to rise from left to right, the correlation is positive.
0.71358024691
If you are rounding then the answer would be 0.71
Answer:
option A
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
= s/
= s
root 2 and root 2 gets cancel
8 = s
Answer:
The number of games for Xbox is about 155
The number of games for PS4 is about 175
Step-by-step explanation:
Let us find the numbers of games for Xbox and for PS4 game
∵ There are 330 video games in the store
∵ 47% of them were for Xbox
- Multiply 47% by 330
∴ The number of games for Xbox = 47% × 330
∵ 47% = 
∴ The number of games for Xbox = × 330
∴ The number of games for Xbox = 155. 1
∴ The number of games for Xbox ≅ 155
∵ 53% of them were for PS4
- Multiply 53% by 330
∴ The number of games for PS4 = 53% × 330
∵ 53% = 
∴ The number of games for PS4 = × 330
∴ The number of games for PS4 = 174.9
∴ The number of games for PS4 ≅ 175
