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.
F(x) = 5(x + 4) – 80
f(x) = 5(x + 8) – 80
f(x) = 5(x + 4)2 – 80
f(x) = 5(x + 8)2 – 80
Answer:
|x| = 4
Step-by-step explanation:
x = -4 or x = 4 can be written using absolute value.
|x| = 4
I think 100% profit means she got the gloves for free so all her revenue was profit. That can't be right. Let's assume 'profit on the cost' means a 100% markup, meaning she sold the gloves for £8.
That means she sold the skirt for £40.
She made 20% profit on the total cost t so
1.2 t = 48
t = 48/1.2 = 40
Since she spent £4 on the gloves that means she spent £36 on the skirt she sold for £40.
So she made £4 on a cost of £36 for a percentage of 1/9=.11111...
Answer: 11.1%
The greatest possible error is one half of the measuring unit you're using.
Multiply the unit you use by 1/2:
The greatest possible error will be
1/8 inch.
