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timama [110]
3 years ago
9

Which of the following best describes a bisector of an angle? A. The set of all points included between two sides of a given ang

le B. The set of all points in a plane that are equidistant from the two sides of a given angle C. The set of all points in a plane that are equidistant from the vertex of a given angle D. The set of all points in a plane that are equidistant from two other points
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

The correct answer is option B.

An angle bisector or the bisector of an angle is a line that divides an angle into two equal angles. If a point is marked on the bisector of an angle then that point will be equidistant from the sides of the angle.

Hence, option B - The set of all points in a plane that are equidistant from the two sides of a given angle.

Illusion [34]3 years ago
5 0

That would be B.

The set of points are all on the line which is a bisector.

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Asap, need help. Thanks if your going to help me! Please explain the steps!​
Rasek [7]

Answers:

  • Person A receives at least 800 dollars, but no more than 1600 dollars
  • Person B receives at least 1000 dollars, but no more than 2000 dollars

=============================================================

Explanation:

We don't have enough information to nail down exact figures, but we can make a range estimate.

The two people (call them A and B) share the profits in the ratio of 4 to 5

In shorthand notation, we can say the ratio is 4:5

This means person A gets 4x dollars while person B gets 5x dollars

The ratio 4x : 5x reduces to 4:5 after dividing both parts by x. The variable x is some positive real number.

The total profit is therefore 4x+5x = 9x dollars

This expression 9x is between 1800 and 3600 dollars, including both endpoints

We then can say...

1800 \le 9x \le 3600\\\\\frac{1800}{9} \le \frac{9x}{9} \le \frac{3600}{9}\\\\200 \le x \le 400

We see that x = 200 is the smallest possible x value. This leads to person A and B receiving 4x = 4*200 = 800 dollars and 5x = 5*200 = 1000 dollars respectively. Note how the ratio 800:1000 reduces to 4:5 after we divide both parts by 200. We can see that 800+1000 = 1800 which is the lowest profit possible.

The inequality above shows that x = 400 is the largest x value possible. If this is the case, then person A receives 4x = 4*400 = 1600 dollars while person B receives 5x = 5*400 = 2000 dollars. The ratio 1600:2000 reduces to 4:5 after we divide both parts by 400. We can see that 1600+2000 = 3600 is the largest profit possible.

-------------------------

To summarize:

  • Person A can receive anywhere between 800 dollars and 1600 dollars (inclusive of both endpoints).
  • Person B can receive anywhere between 1000 dollars and 2000 dollars (inclusive of both endpoints).

The actual amount they receive will depend on what the actual profit is. Since we're only given the range of the profit, we can only make an estimated guess of the range for each partner.

-------------------------

Side note: For either person, the ratio of the max to min is 2:1. This tells us that the max amount they receive is double compared to the min amount they receive. It's no coincidence that 3600 is double that of 1800.

8 0
2 years ago
I will give you a Brainly crown if it is right. Will you help me
Alja [10]

Answer:

angle b = 40 degrees

Step-by-step explanation:

Because  angle a + angle b = 90 degrees

50 + angle b = 90

angle b = 90 - 50 = 40 degrees.

8 0
3 years ago
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Question 10 Multiple Choice Worth 1 points)
Andrew [12]

Answer:

Riding is independent variable and cost is dependent....

Step-by-step explanation:

According to the given statement Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides.

It means that if she rides a ferry, she pays

If she does not ride the ferry she won't pay

This shows that the paying depends on riding.

Thus riding is independent variable and cost is dependent....

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Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution

GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.

We need to determine which expressions are equal

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GIF 4.9 =  3

LIF 3.1 = 4

Hence GIF 4.9 ≠ LIF 3.1

Option 2: GIF 15.2 and GIF 14.8

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GIF 14.8 = 14

Hence, GIF 15.2 ≠ GIF 14.8

Option 3: GIF -6 and LIF -6

GIF -6 = -6

LIF -6 = -6

Hence, GIF -6 = LIF -6

Option 4: LIF -3.2 and LIF -2.6

LIF -3.2 = -2

LIF -2.6 = -1

Hence, LIF -3.2 ≠ LIF -2.6

Hence, only in Option C the pair of expressions are equal.

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If f(x) = 3x -11 , find -4f (-3)
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Answer:

80

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-4f(x)=-12x+44

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