Will the opposite of a number always sometimes or never be greater than the number itself
1 answer:
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Answer: y=-x+4
Step-by-step explanation:
To start out, notice that you want the percent of voters that chose candidate A, not the percent of the class that chose candidate A.
Your fraction should be "number that chose candidate A" out of "number of voters," which is the same thing as saying:
"number that chose candidate A" divided by "number of voters"
1) The numerator of the fraction should be the number of votes for candidate A, which is 11.
2) The denominator of the fraction should be the number of voters. You're told that "t<span>here were 11 votes for Candidate A and 15 votes for Candidate B," so there are:
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3) Finally put parts 1 and 2 together into a fraction and multiply by 100 to get your percent. That is your final answer:
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Answer: Top right choice,
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Your fraction should be "number that chose candidate A" out of "number of voters," which is the same thing as saying:
"number that chose candidate A" divided by "number of voters"
1) The numerator of the fraction should be the number of votes for candidate A, which is 11.
2) The denominator of the fraction should be the number of voters. You're told that "t<span>here were 11 votes for Candidate A and 15 votes for Candidate B," so there are:
</span>
3) Finally put parts 1 and 2 together into a fraction and multiply by 100 to get your percent. That is your final answer:
----
Answer: Top right choice,
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</span>
Answer:
- ABCD is a rhombus, and a parallelogram
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<h3>Given </h3>- Points A(-6, - 1), B(4, - 6), C(2, 5), D(- 8, 10)
First, plot the points (see attached picture).
Then, connect all the points.
<h3>We see that:</h3>- Opposite sides are parallel,
- Diagonals are perpendicular.
From our observation the figure is rhombus.
Let's confirm it with the following.
1) Find midpoints of diagonals and compare.
- AC → x = (- 6 + 2)/2 = - 2, y = (- 1 + 5)/2 = 2
- BD → x = (4 - 8)/2 = - 2, y = (- 6 + 10)/2 = 2
The midpoint of both diagonals is same (- 2, 2).
2) Find slopes of diagonals and check if their product is -1, this will confirm they are perpendicular.
- m(AC) = (5 - (-1))/(2 - (-6)) = 6/8 = 3/4
- m(BD) = (10 - (-6))/(-8 - 4) = - 16/12 = - 4/3
- m(AC) × m(BD) = 3/4 * (- 4/3) = - 1
<u>Confirmed.</u>
So this is a rhombus and also a parallelogram but <u>not</u> rectangle or square, since opposite angles are not right angles.
