Can someone please explain to me in simple words how to construct the circumcenter and incenter of a triangle? I've tried watching videos and reading articles but the wording is too complicated.
I'm doing the IXL skill if that helps

Answers

Answer 1

The circumcenter is where three perpendicular bisectors intersect and the incenter is where the three angle bisectors intersect.

What is circumcenter?

The circumscribed circle or circumcircle of a polygon in geometry is a circle that passes through each of the polygon's vertices. This circle's circumcenter and circumradius are its centre and radius, respectively.

Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.

To find Circumcenter:

Construct perpendicular bisectors of all sides of the triangle and their intersection point gives the circumcenter.

Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.

Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.

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Related Questions

A triangle has sides with lengths of 8 miles, 12 miles, and 17 miles. Is it a right triangle?

Answers

Yes it’s a right triangle, or it also could be a scalene

what type of statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population from which the sample sia sssumed to have been selecteed

Answers

We use Inferential Statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population.

Given that;

What kind of statistics is used to gauge the likelihood that a statistical finding based on information from a random sample is representative of the population the sample is presumed to have been drawn from?

Inferential Statistics:

You attempt to conclude using inferential statistics that go beyond the immediate facts alone. For instance, we use inferential statistics to try to infer what the population would think from the sample data. Alternately, we utilize inferential statistics to assess the likelihood that an observed difference between groups in this study is a reliable one or one that may have occurred by chance. Descriptive statistics are used to simply describe what's happening in our data, while inferential statistics are used to conclude more general conditions from our data.

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Last Spring, several of the Mt. Hood Community College (MHCC) jazz groups held a joint concert. Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. If 390 people attended the concert, how many were MHCC students and staff, and how many were general public? Using the variable p for the general public, and s for students/staff, write a system of equations to determine the breakdown of attendees.

Answers

The number of general public and students are 175 and 215 respectively.

How to calculate the value?

Based on the information given:

Let p = general public

Let s = students/staff

390 people attended the concert. This will be:

p + s = 390 .... i

Tickets sold for $8.00 to the general public and for $5.50 for students and staff. Ticket sales brought in $2,582.50. This will be:

8p + 5.5s = 2582.5 .... ii

From equation i

p = 390 - s

8p + 5.5s = 2582.5 .... ii

8(390 - s) + 5.5s = 2582.5

3120 - 8s + 5.5s = 2582.5

Collect like terms

- 8s + 5.5s = 2582.5 - 3120

-2.5s = - 537.5

Divide

s = 537.5 / 2.5

s = 215

Students = 215

Note that p + s = 390

p + 215 = 390

P = 390 - 215

P = 175

Public = 175

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g) In the figure alongside, AB is an electric pole. When an
electric wire falls, its one end touches the ground at P,
5 m away from the base of the pole. If the length of the wire
from the top of the pole to the ground is 13 m, complete
the following problems.
(i) Find the height of the pole.
(ii)If the other end of the wire touches the grand at Q, 9 m away from the
base to the opposite side of the pole, find the length of the falling wire.

Step by step solution

Answers

The height of the electric pole is 12 m

When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,

base = 5

length of the wire from the top of the pole to the ground is 13 m

Height of the plant can be calculated by pythagoras theorem

h² = p² + b²

13² = p² + 5²

p² = 169 - 25

p = √144

p = 12m

Therefore, the height of the electric pole is 12 m

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Find the slope of the line that passes through the pair of points.
(3, 1), (9, 1)

Answers

Answer:

gradient:

y2-y1/x2-x1

1-1/9-3

0/-6

= 0

What is the slope of a line that is perpendicular to y=4/5x+15 and passes through point (−3, 4)?

Answers

Answer:

Step-by-step explanation:

The slope of the line y = -5x-4 is -5 or -5/1 so the slope of the perpendicular line is +1/5 eg…

y = x/5 + c

To find c we substitute x=15, y=-2

-2 = 15/5 + c

-2 = 3 + c

C = -5

So the equation is

Y = x/5 - 5

Find the perimeter of a rug that measures 2 yards by 11/12 yards

Answers

Answer:

  5 5/6 yards

Step-by-step explanation:

You want the perimeter of a rug that is 2 yards by 11/12 yards.

Perimeter

The formula for the perimeter of a rectangle is ...

  P = 2(L+W)

Using the given values, we find the perimeter to be ...

  P = 2(2 yd + 11/12 yd) = 4 22/12 yd = 5 5/6 yd

The perimeter of the rug is 5 5/6 yards.

Find the value of (2.4) · (1.3). Show your reasoning.

Answers

The evaluation of the expression (2.4) · (1.3) gives 3.12

How to evaluate the expression?

From the question, we have the following expression that can be used in our computation:

(2.4) · (1.3)

Express as products

This gives

(2.4) * (1.3)

Remove the brackets

So, we have the following representation

2.4 * 1.3

Evaluate the product

3.12

Hence, the solution is 3.12

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Solve the equation given a domain of {-3}.
3x - 2y = 5

Answers

The solution to the equations is y = -7

How to solve the equations using the domain of the replacement sets?

From the question, we have the equation to be given as

3x - 2y = 5

The above equation is a linear equation

The domain or the replacement set is given as

{-3}

Rewrite properly as

Domain  = {-3}

or

x = -3

So, we replace the variables using the elements in the replacement set

When x = -3, we have

3 x -3 - 2y = 5

Evaluate the products

This gives

-9 - 2y = 5

Add 9 to both sides

-2y = 14

Divide both sides by -2

y = -7

So, we have

x = -3 and y = -7

Hence, the solution to the equation is y = -7

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At the beginning of the game, April had a core of −150 point. April played for another 20 minute, and her final core wa −35

Answers

The expression that represents the change in April's score from the start to the end of the game is 355 - 150 = 205.

April played a game. The score at the beginning of the game was 150 points. After twenty minutes, her score was 355 points. We have to determine the change in her score from the beginning of the game to the end of the game.

Let the change in the score be represented by the variable "C". The change in her score is calculated below. The change in the score is the difference between the final and the initial score of April.

C = 355 - 150

C = 205

Hence, the change in her score from the beginning of the game to the end of the game is 205 points.

The complete question is given below.

At the beginning of the game, April had a score of 150 points. April played for another 20 minutes, and her final score was 355. Write and then evaluate a subtraction expression to determine the change of her score from the beginning of the game to the end of the game.

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Which expression shows the distance you would drive from the library to the grocery store along this road?

Answers

The expression that shows the distance you would drive from the library to the grocery store along this road is; |-5|+|7|

How to solve Absolute Value Inequalities?

An absolute value inequality is defined as an expression that has absolute functions as well as inequality signs. For example, the expression |x + 5| > 1 is an absolute value inequality that contains a greater than symbol.

Now, from the inequality line graph attached, we see that the point of the library is at -5 on the line graph.

Similarly, we also see that the point of the grocery store which i will liken to the maths class is at the point 7.

Thus, the distance between both points when we take absolute values into consideration is; |-5|+|7|

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The temperature at the end of the day was 87 degrees. The temperature had decreased twice during the day, once by 9 degrees and another time by 7 degrees.

Which expression shows what the temperature was at the start of the day?

71+9+771+9+7
87−9−7
87+9+7
87+9−7

Answers

The temperature at the end of the day was 87 degrees. The temperature had decreased twice during the day, once by 9 degrees and another time by 7 degrees.

Which expression shows what the temperature was at the start of the day?

71+9+771+9+7

87−9−7

87+9+7

87+9−7

Approximately how many feet tall is the streetlight

Answers

6ft-40ft depends where you are etc

Answer:

H = 30 ft

Step-by-step explanation:

Since the triangle is 90 degrees and we have to find out how tall the streetlight is we have to subtract 90 and 40 degrees. Which we get 50 degrees, after we subtract 20 from the 50 degrees. So we get 30 ft or 30 degrees.

What is the size of an angle called a revolution ​

Answers

Answer:

Step-by-step explanation:

The size of the angle of one whole revolution is 360 degrees. A revolution describes the angle of a circular surrounding sector as it rotates! This means one full revolution is 360 degrees. And half of a revolution is 180 degrees!

An investor invested a total of $2,900 in two mutual funds. One fund eamed a 7% profit while the other eamed a 3% profit. If the investor's total profit was $143, how much was invested in each mutual fund?

Answers

Answer:

one is 203

two is 87

Step-by-step explanation:


At the beginning of a chemistry experiment, the volume of liquid in a container was 3 milliliters. During the experiment, the volume dropped to
2.1 milliliters. Find the percent of decrease.

Answers

Answer:

30%

Step-by-step explanation:

To calculate the percent of change, you find the amount of change and divide that my the original amount

[tex]\frac{3-2.1}{3}[/tex] = [tex]\frac{.9}{3}[/tex] = .3  As a percent, this would be 30%

What is the least angle measure by which this figure can be
rotated so
that it maps onto itself?
45°
90°
180°
360°

Answers

90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

The correct option is (B)

From the figure,

As the figure has two axis of symmetry, placing x and y axis such that the origin lies on its centroid.

Angle between x axis and y axis is 90°.

So rotating any degree which is a multiple of 90 i.e., 90°, 180°, 270°, 360°...… would yield the original figure.

Therefore, 90° is the least angle measure by which this figure can be rotated so that it maps onto itself.

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Type the correct answer in the box. If necessary, use / for the fraction bar.
Both pyramids in the figure have the same base area as the prism. The ratio of the combined volume of the pyramids to the volume of the pris
expressed as a fraction in simplest form, is

Answers

The ratio of the combined volume of these pyramids to the volume of the prism as a fraction is equal to 1/3.

How to calculate the volume of a pyramid?

The volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height.

b is the base area.

Volume of this prism = 1/2 × b × h

Here, both pyramids have the same base area as the prism, their volume is given by:

Volume of a pyramid = (1/3 × b × h) + (1/3 × b × h)

Volume of a pyramid = 2/3 × b × h

Also, the volume of this prism = 1/2 × b × h

Thus, the ratio is given by:

Ratio = (2/3 × b × h)/(1/2 × b × h)

Ratio = 2/3 × 1/2

Ratio = 1/3.

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Find the value of r so that the line passing through (-3, r) and (7,-6)
has a slope of 2 2/5
r =

Answers

The value of r is -10 for line with slope 2/5 .

What is slope?

A line's slope, often known as its gradient, is a numerical representation of the line's steepness and direction.

Main Body:

We know that the slope of line in two point form is

(y₂-y₁)/(x₂-x₁) = m where m = slope

given points are (-3,r) and (7,-6) m= 2/5

(-6-r)/(7+3)= 2/5

(-6-r)/10 =2/5

therefore value of r= -10

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On​ Monday, a museum had 500 visitors. On​ Tuesday, it had 900 visitors. Estimate the percent change in the number of visitors to the museum. Use pencil and paper. Estimate how many people would have to visit the museum on Wednesday to have the same estimated percent change between Tuesday and Wednesday as between Monday and Tuesday. Explain your answer.

Answers

The percentage increase regarding the change in visitor is 80%.

How to calculate the percentage?

From the information, the museum had 500 visitors and on Tuesday, it had 900 visitors.

It should be noted that the increase in numbers will be:

= 900 - 500

= 400

The percentage increase will be:

= Increase / initial value × 100

= 400/500 × 100

= 0.8 × 100

= 80%

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A scientist records 61 more shooting stars in the fall than in the spring. there are 15 shooting stars in the spring. how many shooting stars are in the fall?

Answers

The probability that shooting stars are there in the fall is 0.5904.

The probability of not seeing any falling star in that time period of 15 minutes is 1 - 0.2 = 0.8.

In this way, the combined probability of not seeing any of the falling stars in the four-time period is: 0.8 * 0.8 * 0.8 * 0.8 = 0.8⁴ = 0.4096

= 1 - 0.4096 = 0.5904

=P(X = x) = μˣ * e^-μ / x!

Here, the span is of 15 minutes. In this way, the typical number of events in the span is 15λ. The probability of witnessing 0 occasions (i.e X = 0) is:

P(X = 0) = μ⁰ * e^-(15λ) / 0! = 1 / e^(15λ) — — (1)

(1) is equal to 80% as the probability of at least one event happening is 20%.

So, 1 / e^(15λ) = 0.8

or, e^(15λ) = 1.25

or, 15λ = ln(1.25) = 0.2231

= λ = 0.0149 / min

In this way, the typical number of occasions (falling stars) is 0.0149 per minute.

Presently, the typical number of occasions in an hour is:

0.0149 * 60 = 0.8926 / hour

So, the Poisson distribution expression becomes:

P(X = x) = 0.8926ˣ * e^-0.8926 / x! — — (2)

Here, the time span is 60 minutes.

Presently, we should find the probability of not having even a solitary occasion in 60 minutes:

P(X = 0) = 0.8926⁰ * e^-0.8926 / 0! = 0.4096

So, the probability of having at least one event is the complement of the above probability.

So, P(X≥1) = 1 - P(X=0) = 1 - 0.4096 = 0.5904

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What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Answer:

See below

Step-by-step explanation:

Find slope using two convenient integer coordinates

(-1,4)  and (1, -8) are convenient

  slope = (y1-y2) / (x1-x2) = (4 - -8) / ( -1 -1) =  12/-2 = -6

the y-axis intercept is -2  ( by looking at the graph)

y = -6x -2      Done.

For triangle XYZ, m∠X = (5g + 18)° and the exterior angle to ∠X measures (8g + 32)°. Find the measure of ∠X and its exterior angle. Interior angle = 68°; exterior angle = 112° Interior angle = 112°; exterior angle = 68° Interior angle = 73°; exterior angle = 105° Interior angle = 105°; exterior angle = 73°

Answers

The interior angle and the exterior angle of triangle XYZ is 68° and 112° respectively.

What is a triangle?

A triangle is a plane shape that has three sides.

Recall that, the sum of a interior angle and an exterior angle of a triangle is 180°.

Using the formula,

a+b = 180°............ Equation 1

Where:

a = interior angle b = exterior angle.

From the question,

Given:

a = m∠X = (5g + 18)° b = ∠X =  (8g + 32)°

Substitute these values into equation 1

(5g + 18)+ (8g + 32) = 180

Solve for g

13g + 50 = 18013g = 130g = 130/13g = 10

Hence, interior angle of X = (5×10)+18 = 50+18 = 68° and exterior angle of X = (8×10)+32 = 80+32 = 112°

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Answer: I belive the answer is A

Step-by-step explanation: i could be wrong

a system is tested for faults once per hour. if there is no fault, none will be detected. if there is a fault, the probability is 0.78 that it will be detected. the tests are independent of one another. given that a fault has gone undetected for 2 hours, what is the probability that it will be detected in the next hour? round the answer to two decimal places. numeric response

Answers

The probability that it will be detected in the next hour is 0.04.

For a system, a fault test each hour is a Bernoulli with success defined as detecting a fault.

The probability of success is 0.78

Let 'x' denote the number of tests conducted up to and including the test that detected a fault.

Then x* - Geometry (0.78).

The probability mass function of the random variable x is;

P(x) = { P( 1 - P )ˣ⁻¹   x = 1,2, . . .

         { 0                 otherwise

The Probability that a fault will be detected on the third hour, given that it has gone undetected during the first two hours is;

P(X = 3 / x = 2) = P(X = 3 and x > 2) / P(x > 2)

                        = P( x = 3 ) / 1-  P(x ≤ 2)

                        = P( x = 3 ) /  1-P(x = 1) - P(x = 2)

                        = P(3) /  1-P(1) - P(2)

                        = (0.78)(0.2)² / 1 - (0·78)(0.2) - (0.78)(0.2)

                        = (0.78)(0.04) / 1 - (0.78)(0.2) - (0.78)(0.2)

                        = 0.0312 / 1 - 0.156 - 0.156

                        = 0.0312 / 0.688

                        = 0.04

The probability that it will be detected in the next hour is 0.04

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correct answer gets brainliest!

Answers

Answer:

arc RP = 136°

Step-by-step explanation:

the inscribed angle PQR is half the measure of its intercepted arc, then

arc PR = 2 × ∠ PQR = 2 × 68° = 136°

Solve for the value of e.
Answer: e=
(9e-8)
(4e+6)
Submit Answer
posse

Answers

Answer:

Step-by-step explanation:

Expand: 36e^2+12e-48=e

Subtract e from both sides 36e^2+11e-48=0

Using the quadratic formula, e=(-11+-sqrt7033)/72

The candy jar is only 1/4 full and all three brothers want an equal share. What fraction of the candy jar should each brother get?

Answers

Answer: 1/12

Step-by-step explanation: If the candy jar is only 1/4 full, and there's 3 brothers, they would each receive 1/3 of 1/4. THis would be 1/12 of the jar.

Solve for v in terms of u and w.
u= –vw

Answers

answer: v will be equal to -u/w

If one factor of -24x^4y^5+16x^2y^3 is -8x^2y^3 what is the other factor

Answers

The polynomial is, -24x⁴y⁵+16x²y³. One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method.

What is polynomial?

Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The terms degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents and is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable). 

Here,

The polynomial is,

=-24x⁴y⁵+16x²y³

One of the factor is (-8x²y³)

=-8x²y³*(3x²y²-2)

So other factor is 3x²y²-2.

One of the factor is (-8x²y³),So other factor is 3x²y²-2 by the factorization method for the The polynomial -24x⁴y⁵+16x²y³.

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Graph the image of rhombus ABCD after a rotation 270° counterclockwise around the origin.

Answers

After rotation, the coordinates of the vertex of the rhombus become:

A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)

How to rotate an image 270°?We refer to the process of rotating an object about a fixed point or line as rotation. By rotating an object, we might be able to fit it into a specific location or even learn more relevant details about the current activity. When an object is rotated, it seems as though its shape has changed, but it hasn't.

We know ,  when a point (x,y) rotates 270° counterclockwise about the origin, our point (x,y) becomes (y,-x)

From the graph the coordinates of the vertex of the rhombus are:

A(6,-8)B(6,-3)C(10,0)D(10,-5)

Therefore after rotation, the coordinates of the vertex of the rhombus become:

A(-8,-6)B(-3,-6)C(0,-10)D(-5,-10)

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Select the correct answer.How did Johnson introduce the idea that freedom doesn't come without struggle in paragraph 2?O A.by saying that the founders of the country knew freedom would come at a cost B.by recounting the courage that Americans have shown to sustain their freedom C.C. by referencing historical examples of people needing to fight for their freedomO D. by explaining that America's wars have always been about preserving freedom What happens to the 'uno' if there is only one item in Spainich? 3f + -4 = 0 solve for f high folate intake may: question 20 options: increase the incidence of colon cancer. cause other vitamin deficiencies because folate competes for absorption sites. mask a vitamin b12 deficiency, giving rise to permanent nerve damage. cause acne. consider the molecule cis-1,2-dibromocyclopentane. which of the following types of isomers does this molecule have? Saturn and Jupiter both complete one rotation in about hours.A 10B 13C 9D 8 passage of Le fils de l' lnstituteur which of the following statements is true of enzymes? group of answer choices enzymes generally increase the rate of chemical reactions by lowering activation energy barriers. enzyme function is generally independent of physical and chemical environmental factors such as ph and temperature. required nonprotein cofactors generally alter the substrate specificity of enzymes. enzyme function is generally increased if the three-dimensional conformation of an enzyme is altered explain why there is a difference in percent of mass change of the eggs in the different sucrose solutions. Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song? you want to increase the relevance of a search ad so it's more meaningful to potential customers and provides value-added information to their searches. what two actions might improve the relevance of your ad? (choose two.) select 2 correct responses selecting only relevant languages in campaign setup. posting transparency statements on the website. selecting distinct geographic areas. changing the ad's call-to-action statement. rewriting the landing page for clarity. cells cannot use the energy of gluclose directly because a gluclose molecule contains too much energy true or false if the functional currency is the local currency of a foreign subsidiary, what exchange rates should be used to translate the items below, assuming the foreign subsidiary is in a country which has not experienced hyperinflation over three years? 2 When writing the original United States Constitution, theFounding Fathers believed that once these officials were inoffice, they would be protected from political pressuresbecause they served for life. Which officials does this referto?1 Senators2 Presidents3 Supreme Court Justices4 Members of the House of Representatives An 0.8 kg cart rolls down a frictionless hill of height 0.32m. At the bottom of the holl the cart rolls on a flat surface., which exerts a frictional force if 2 n on the cart. How far does the cart roll on the flat surface before it comes to a stop if we could put all the asteroids in the asteroid belt together, their total mass would be . magnus has reached the finals of a strength competition. in the first round, he has to pull a city bus as far as he can. one end of a rope is attached to the bus and the other is tied around magnus's waist. if a force gauge placed halfway down the rope reads out a constant 1550 newtons while magnus pulls the bus a distance of 2.15 meters, how much work does the tension force do on magnus? the rope is perfectly horizontal during the pull. Demi starts a gardening project with 80 sunflower seeds. She plants 12 of theseeds. Then she gives 5 seeds each to some friends. Which expression representsthe number of sunflower seeds Demi has left after she gives seeds to f friends?f5C 80 12-5-fA 80-12-B 80-12-D 80-12-5f rico is a man who has enlarged breasts and suffers from mild intellectually disability. he has a problem learning languages, and his body produces less of the male sex hormone testosterone than normal males. rico is most likely suffering from: Determine the distance between the points (2, 3) and (2, 0). 2 units 4 units 5 units 10 units