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Doss [256]
2 years ago
5

Where is the point of concurrency of the angle bisectors of a triangle?

Mathematics
1 answer:
iren [92.7K]2 years ago
6 0

Answer:

The point of concurrency of the angle bisectors of a triangle is inside the triangle.

Step-by-step explanation:

Considering the triangle ΔABC as shown in attached figure.

As it is clear that

  • The three angle bisectors of a triangle intersect at one point.
  • Incenter is basically the point of concurrency of the angle bisectors.
  • Each point on the angle bisector is at equal distance from the sides of the angle.

As the triangle's incenter is always located inside the triangle, so we can conclude that the point of concurrency of the angle bisectors of a triangle is inside the triangle.

Therefore, the point of concurrency of the angle bisectors of a triangle is inside the triangle

Please check the attached figure below.

Keywords: angle bisectors of a triangle, point of concurrency

Learn more about point of concurrency of angle bisectors from brainly.com/question/3158572

#learnwithBrainly

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Write an equation for the following word problem: "the difference of twice a number and 3 is -21"
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Answer:

-9

Step-by-step explanation:

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Barry wants to take out a loan from his bank for $1,000 to buy a bicycle. The interest rate on the loan from the bank is 9%. He
tekilochka [14]

Answer:

The amount that Barry would pay in interest for his loan is $15.05.

Step-by-step explanation:

To calculate this, we first calculate the monthly required fixed payment using the formula for calculating loan amortization as follows:

P = (A * (r * (1 + r)^n)) / (((1+r)^n) - 1) .................................... (1)

Where,

P = Monthly required fixed payment = ?

A = Loan amount = $1,000

r = monthly interest rate = 9% / 12 = 0.09 / 12 = 0.0075

n = number of payment months = 3

Substituting all the figures into equation (1), we have:

P = ($1,000 * (0.0075 * (1 + 0.0075)^3)) / (((1 + 0.0075)^3) - 1)

P = $338.35

Therefore, we have:

Total repayment = P * 3 months = $338.35 * 3 = $1,015.05

Interest amount = Total repayment - Loan principal = $1,015.05 - $1,000 = $15.05.

Therefore, the amount that Barry would pay in interest for his loan is $15.05.

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The x-intercept of the line whose equation is 2x - 3y= 6 is
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The x-intercept is 3 and the y-intercept is -2
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How do you rewrite 7x3+7x5
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The faces of a tetrahedron die are numbered 1 to 4. if each of the 4 sides is equally likely to land down, what is the probabili
Hoochie [10]

The probability distribution for the face landing down =  4/15

<h3>What is the probability?</h3>

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

<h3>According to the given information:</h3>

If we assign 1 probability x

then 2 has probability  1/2 x.

Similarly,

then 3 has probability = 1/2((1/2)*x) = (1/4)*x

so

then 4 has probability = 1/2((1/4)*x) = (1/8)*x

These probabilities need to sum to 1.

Hence:

                x+\frac{1}{2} x+\frac{1}{4} x+\frac{1}{8} x=1

or equivalently

                   (15/8)*x = 1

                       x = 8/15

the probability distribution for the face landing down  = (1/2)*(8/15)

                                                                                         = 8/30

                                                                                         =  4/15

To know more about probability visit:

brainly.com/question/1581057                  

#SPJ4

I understand that the question you are looking for is:

A tetrahedral die has four faces, numbered 1-4. If the die is weighted in such a way that each number is twice as likely to land facing down as the next number (1 twice as likely as 2, 2 twice as likely as 3, and so on) what is the probability distribution for the face landing down?

7 0
1 year ago
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