Prove that if a point in the interior of an angle is equidistant from the sides of the angle then it belongs to the angle bisector of the angle (Point on angle bisector converse theorem).

Answers

Answer 1

Answer:

Step-by-step explanation:

Given: <AOB and an interior point D.

Prove: a point, D, in the interior of an angle is equidistant from the sides of the angle, then it belongs to the angle bisector of the angle.

Join D to A and B, then;

OA ⊥ AD (right angle property)

OB ⊥ BD (right angle property)

AD = BD (angle bisector theorem)

<AOD = <BOD (congruent angle property)

ΔAOD = ΔBOD (congruence property of triangles)

Therefore, point D lies on the bisector of <AOB.


Related Questions

HELP FIRST GET BRAINLLEST Measure the difference between the lower quartile of Data Set A and the lower quartile of Data Set B. Round to the nearest tenth when performing all operations.

Answers

Answer:

29

Step-by-step explanation:

To find the lower quartile you need to split it into 2 by finding the median

Set A: 73, 75, 79, 81, 84, 85

Set B: 47, 49, 51, 51, 55, 56

Now you have to find the median of each

A: 80

B: 51

Lastly, you subtract and get 29

Find (-3/7) ÷ (-1 1/14). a. 45/98 b. 2/5 c. 2 1/2 d. -2/5

Answers

Answer:

B 2/5

Step-by-step explanation:

Used a calculator.

Charley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether

Answers

Answer:

$810 total raised

Step-by-step explanation:

Charley:

12 * $18 = $216

Maria:

15 * $18 = $270

Paul:

18 * $18 = $324

Total:

$324 + $270 + $216 = $810

Answer:

pls appreciate my efforts by markinf my answer as the brainliest......

Step-by-step explanation:

Charley raised = 12 *18 =$216

Maria raised =15*18 = $270

Paul raised = 18*18 = $ 324

total amount raised = $ 810

Find the value of x in the triangle shown below.

Answers

Answer:

The valueof x is root under 41.

Hope this helps.

There are 5 oranges, three apples, 12 grapes, and 2 avocados in the fruit basket of Ms. Canton's refrigerator. Write a ratio of grapes compared to all of the fruit.

Answers

Answer:

6:11

Step-by-step explanation:

There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.

Step-by-step explanation:

Given:

Orange=5

Apple=3

Grape=12

Avocado=2

Formula:

Grape:Fruits

Answer:

Fruits= 5+3+12+2

Fruits=22

Grape/Avocado

12/2=6

Grape:Apple

12/3=4

Grape:Orange

12/5=2.4

Grape: All fruits

12/22=0.54

Hope it helps ;) ❤❤❤

The fourth and fifth graders at Jackson Elementary had a competition to see who could
recycle the most newspaper in a 3-day period. Use the chart to answer the question,
The students at Lee Elementary collected 3 times as much as the students at Jackson. How
many pounds did the students at Lee recycle?

Answers

Answer: the elementary 45

Step-by-step explanation: if you need anything else let me know

what's four to the six power times four to the seventh power

Answers

Answer:

67,108,864 or 4^13

Step-by-step explanation:

4^6*4^7=4^13 you basically just add the exponents since the base is the same.

4⁶ · 4⁷ = 4¹³

Since these two powers have the same base of 4, you can multiply

them together by simply adding their exponents to get 4¹³.

This idea is called the product rule.

A common mistake in this problem would be to multiply

the bases together and give an answer of 16¹³.

It's important to understand however that the 4's in this problem can't

be multiplied together because they're not coefficients, they're bases.

When applying your exponent rules, your base will never change.

ASAP 25 POINTS NEED TO KNOW NOW PLEASE
Variable x is 7 more than variable y Variable x is also 1 less than y. Which of the following pairs of equations best models the relationship between x and y?
A:x= 11
X = y + 7
B:X= y + 7
X = y - 1
C:y = x + 8
y=x-1
D:y = 7x
y = x + 1​

Answers

Answer:

x = y+7

x = y -1

Step-by-step explanation:

Variable x is 7 more than variable y

is means equals

x = y+7

Variable x is also 1 less than y

x = y -1

Which inequality is represented by this graph from a positive 0 to positive 5

Answers

0 is a neutral number there is no such thing as positive or negative zero. Also next time post a picture so people can actually help

Whats up with brainly and the answers loading is it only me? someone comment ways to fix or im screwed

Answers

Answer: it's not working on my laptop but it seems to be working on the phone right now

Answer:

can somebody help asap !!!

Step-by-step explanation:

What is the sum of the series *picture attached*

Answers

Answer:

[tex]\sum_{n=4}^{18}(n+1)^2=2440[/tex]

Step-by-step explanation:

Series: [tex]\sum_{n=4}^{18} (n+1)^2[/tex]

Formula :[tex]\sum_{k=m}^n=\sum_{k=1}^n-\sum_{k=1}^{m-1}[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=\sum_{n=1}^{18}(n+1)^2-\sum_{n=1}^{3}(n+1)^2[/tex]

[tex]\sum_{n=1}^{18}(n+1)^2=2469[/tex]

[tex]\sum_{n=1}^{3}(n+1)^2=29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2469-29[/tex]

[tex]\Rightarrow \sum_{n=4}^{18}(n+1)^2=2440[/tex]

So, Option C is true

9. Find P(rolling 1 or 5) with one number cube.

Answers

Answer:

1/3

Step-by-step explanation:

There are 6 possible outcomes when rolling 1 die

1,2,3,4,5,6

P ( 1 or 5) = number of times 1 or 5 happens / total outcomes

               = 2/ 6

               = 1/3

The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height Use the Pythagorean theorem to calculate the length of the diagonal of the trunk.

Answers

Answer:

The length of the diagonal of the trunk is 56.356011 inches

Step-by-step explanation:

According to the given data we have the following:

height of the trunk= 26 inches

length of the trunk= 50 inches

According to the Pythagorean theorem, to calculate the length of the diagonal of the trunk we would have to calculate the following formula:

length of the diagonal of the trunk=√(height of the trunk∧2+length of the trunk∧2)

Therefore, length of the diagonal of the trunk=√(26∧2+50∧2)

length of the diagonal of the trunk=√3176

length of the diagonal of the trunk=56.356011

The length of the diagonal of the trunk is 56.356011 inches

What is the value of m in the figure below? If necessary, round your answer to
the nearest tenth of a unit.

A. 6.7
B. 7.5
C. 3
D. 12

Answers

Answer: A) 6.7

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

Work Shown:

Use the geometric mean formula to find that BD = 6

BD = geometric mean of AD and DC

BD = sqrt(AD*DC)

BD = sqrt(12*3)

BD = 6

Then use the pythagorean theorem to find the missing side for triangle BCD

a^2+b^2 = c^2

(CD)^2 + (BD)^2 = (BC)^2

3^2 + 6^2 = m^2

m^2 = 45

m = sqrt(45)

m = 6.70820393249937 approximately

m = 6.7 after rounding to one decimal place

A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position. What is the maximum angle that the truck bed can tilt?

Answers

Answer:

Step-by-step explanation:

There are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

To find the number of permutations of picking 4 pens from a box of 6 different colored pens, we can use the formula for permutations. The formula for permutations is given by:

P(n, r) = n! / (n - r)!

Where n is the total number of items and r is the number of items to be chosen.

In this case, we have 6 different colored pens in the box and we want to choose 4 pens. Plugging these values into the formula, we get:

P(6, 4) = 6! / (6 - 4)!

= 6! / 2!

= (6 × 5 × 4 × 3 × 2 × 1) / (2 × 1)

= 720 / 2

= 360

Therefore, there are 360 different orders or permutations in which 4 pens can be chosen from the box of 6 different colored pens.

Learn more about permutations here: brainly.com/question/3867157

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A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation? A. 5x > 20 B. 5x 20 + 5 D. 5x < 20 + 5

Answers

Answer:

A. 5x>20

Step-by-step explanation:

Because the company has to produce more than 20 fixtures you need  greater than 20 and you have 5 machines time the number they produce.

Hope this helps, if it does please mark brainliest!!

The questions no l and p.
please help me as soon as possible!!!!!​

Answers

Answer:

l = 2cosΘ p = see attachment

Step-by-step explanation:

√2+√2+2cos 4Θ

√2+√2(1 + cos 4Θ)

√2 + √2(2 cos² 2Θ)

√2 + √4 cos² 2Θ                      cos 2Θ = 2 cos²Θ - 1

√2 + 2cos 2Θ

√2(1 + cos 2Θ)

√4cos²Θ

2cosΘ

Answer:

Step-by-step explanation:

I'm only going to do the first one, because the tangent problem is going to give us both night mares.

Start with cos(4*theta), There are various places on the internet which solves this, so I won't bother. Basically it comes down to using cos(2*theta).

cos(4theta) = 8*cos^4(theta) - 8*cos^2 (theta) + 1

2*cos(4*theta) = 16*cos^4(theta) - 16cos^2(theta) + 2

2 + 2cos(4*theta) = 16cos^4(theta) - 16cos^2(theta) + 4

(2 + 2cos(4*theta) = (4 cos^2(theta) - 2 )^2

sqrt(2 + 2cos(4theta) = 4cos^2(theta) - 2

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

sqrt(2 + 4cos^2(theta) -2 ) = sqrt( 4 cos^2(theta) = 2 cos(theta) = RHS

What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3

Answers

No it’s D because it is rise over run and you rise 3 and run 1. 3/1 is simplified to 3.

Why is [tex]a^{2}*a^{-6}* a^{6}=a^{5}[/tex] correct?

Answers

Answer:

incorrect

Step-by-step explanation:

We are multiplying exponents

Since the bases are the same, add the exponents

a^2 * a^-6 * a^6

a^ ( 2+-6 +6)

a^ (2)

This does not equal a^5

Answer:

no

Step-by-step explanation:

The vertex of the parabola is it 3,-2 when the xvalue is 4 the yvalue is 3 what is the coefficient of the squared term in the parabola equation

Answers

Answer:

5 = a

Step-by-step explanation:

Use the model y - k = a(x - h)^2, where (h, k) represents the vertex.  Here we have:

y + 2 = a(x - 3)^2

Now substitute 4 for x and 3 for y:  

3 + 2 = a(4 - 1)^2, or     5 = a

PLEASE HELP! Which of the following is a discrete random variable? a) length of time you play in a baseball game b) length of a car c) volume of water in a tank d) number of candies in a box

Answers

Answer:

The answer is D: the number of candies in a box.

Step-by-step explanation:

Answer:

D) number of candies in a box

Step-by-step explanation:

Image attached: some sort of triangle stuff

Answers

Answer:

C

Step-by-step explanation:

On edg 2020

Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. Jeremy can spend up to $50 for the class, but he has to pay $15 to register for the class as well as rent the camera. The number of days, d, that Jeremy can rent the camera is represented by the inequality 6d + 15 < 50. Select the number of days Jeremy can rent the camera with the money he has. A. 5 B. 6 C. 8 D. 9 E. 10

Answers

Answer:

A. 5

Step-by-step explanation:

6d+15<50

subtract 15 from both sides

6d<50-15

6d<35

divide both sides by 6

d<35/6

d<5 5/6

So he can only rent it for 5 days.  If he rented for 6, it would be $51, which is too much.

Solving the given inequality for d, we get...

6d + 15 < 50

6d + 15-15 < 50-15 <<-- subtract 15 from both sides

6d < 35

6d/6 < 35/6 <<--- divide both sides by 6

d < 5.83

Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all

The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days

Any larger value of d is not allowed as it would make the total cost go over $50

Notice how I'm rounding down regardless how close 5.83 is to 6

Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?

Answers

Answer:

All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.

Rectangle JKLM is rotated 90° clockwise about the origin. On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1). What are the coordinates of J’? J’(–1, –4) J’(4, –1) J’(1, 4) J’(4, 1)

Answers

Answer:

(4,-1)

Step-by-step explanation:

The required coordinate of J is (1, 4). Hence the option c is correct.

Rectangle JKLM is rotated 90° clockwise about the origin.
On a coordinate plane, rectangle J K L M has points (negative 4, 1), (negative 1, 1), (negative 1, negative 1), (negative 4, negative 1).

What is rectangle?

Rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.

While rotating the rectangle about origin clock wise, the new coordinates forms of  rectangle J K L M has points  ( 4, 1), (1, 1), (negative 1,  1), (negative1 ,  4).

Thus, the required coordinate of J is (1, 4).

Learn more about rectangles here:
https://brainly.com/question/16021628

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Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best dea 1. Write 2 equations to represent the 2 restaurants. Predict if these equations will be linear of nonlinear (how do you know?). If they are linear will the lines point upward or downward (how do you know?). And this one too Graph the system of equations. (Show your x/y tables) **Use a ruler or your answer will not come out correctly** or Slope- intercept simulation copy and paste And this one too What is the point of intersection on your graph? What does this mean? And this one tooo Which restaurant would you go to? Why?

Answers

Answer:

(golden corral) 11 + 1x = y.  Western Sizzlin 9 +2x= y. These equations will be linear because these equations have the structure of y=mx+b, also when these equations are plotted on the graph they point upward. (I can't show a table, but I provided a pic of the graph so u can plot the points). The point of intersection is 2,13. The point of intersection means when the prices for both restaurants are equal to each other I would go to golden corral because if I have a lot of drinks it would be cheaper in the long run.

Step-by-step explanation:

Use desmos for problems like this it will save your life.

If your good in math pls help me I’m not that great and I’m ineed of help !

Answers

Answer:

The base is 2

Step-by-step explanation:

Exponents or powers are on top of the base.

[tex]2^x[/tex]

x is the exponent and the base is 2.

I agree with the other person
1+5=6

Jackson is attending a lacrosse game that is halfway through the first quarter.
4) What fractional part of the game is leh?
3) If 74 minutes of playing time have past, how many total minutes of playing
time are there in the game?
6) How many minutes of playing time are left in the game?
(okay so I have to draw the picture so someone please help meh :p)

Answers

Answer:

7/8 of the game is left. The game lasts for 592 minutes.

Step-by-step explanation:

It is halfway through the first quarter so it is 1/8. So that's 7/8 part of the game left. if 74 minutes of playing time has past, then you do 74*8 so that's 592 minutes.

Answer:

4) 1/8

3)74x8=592

6)592-74= 518

Step-by-step explanation:

how to convert 3mm into cm​

Answers

Answer:

0.3 cm

Step-by-step explanation:

1 cm = 10 mm

1) Using proportion:

1 cm ----- 10 mm

x cm -----  3 mm

x = 1 cm * 3 mm/10 mm = 0.3 cm

2) 3 mm * 1cm/10mm = 0.3 cm

Answer:

3mm = 0.3 cm

Step-by-step explanation:

1 cm = 10 mm

3mm = 3/10 = 0.3cm

:o help (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?

Answers

Answer:

no

Step-by-step explanation:

the answer is no because the quantum formula states that a quantum state is a mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system. Quantum states that cannot be written as a mixture of other states are called pure quantum states, while all other states are called mixed quantum states.

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Josephine is going on a run around the lake. She knows the distance around the lake, but she would like to complete her runin a certain amount of time. Josephine knows she can used the formula d = rt.Which equation correctly rearranges the formula to find the time it will take her to run around the lake?A. T= d/rB. T= r/dC. T=d + rD. T=d-r Mariella is 1.58 meters tall. Her daughter is 75 centimeters tall. How much taller is Mariella than her daughter? Write the answer in centimeters. what is the product number of 88 and 26? which graph represents a function? True or False: Weaving is a common clue to law enforcement that a driver is impaired. Which questions best help determine whether a news source is reputable and objective? Select three options. Calculate the average and marginal tax rates in the following table. (Hint: Enter your answers as decimals and do not round when computing tax rates. For example, 8.25% should be entered as "8.25" and not "0.825") Total Taxable Income Total Tax Due Average Tax Rate Marginal Tax Rate (Dollars) (Dollars) (Percentage) (Percentage) 0 0 0 0 2,000 130 10,000 650 20,000 1,300100,000 6,500The tax rates shown in this table are:________. True or False: If the marginal tax rate is equal to the average tax rate, then the average tax rate must remain the same. A. True B. False Sean, Yvette, and Bob are the only voters in a small society and are considering whether to publicly finance a project. Indicate in the following table what each individuals vote would be and whether the public project will be funded Name Marginal Cost Marginal Benefit VoteSean $100 $108Yvette $100 $12Bob $100 $125Total $300 $245 If this same project were taking place in the private sector, a firm ________ fund the project. In private markets, decisions to provide goods or services to the market are generally made if marginal benefits ________ marginal costs. in comparison, the decisions to provide goods and services by governments are made through _______. as a result, governments may approve projects whose costs _________ their benefits. (a) The only even prime number is .... ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions. Suggest an intracellular regulatory molecule (from your text) that growth factors might stimulate to control cell division. Please describe how it works. Which of these methods were part of the Green Revolutions efforts to increase productivity? Select all that apply. Breeding superior types of grains--- Use of machinery--- Use of irrigation--- Use of fertilization emphasis on single crops--- Soil conservation--- Avoidance of pesticides--- THE ANSWER IS 1.) Breeding superior types of grains 2.) Use of machinery 3.) Use of irrigation 4.) Use of fertilization 6.) Soil conservation Who first applied the term muckraker to journalism?A John BunyanB Ida TarbellC Upton SinclairD President Theodore Roosevelt The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, comma, 1, comma, 2, comma, 1, comma, 2 Find the mean number of children. what is the exact area of a circle having diameter 4in Nonvascular plants lack _____. a. zygotes b. gametes c. seeds d. spores e. chloroplasts Drag each tile to the correct box. Lucia is walking barefoot in her yard. She accidentally steps on a nail. How will her nervous system work to generate a reaction? Arrange the events chronologically. True or False: All other things being equal, firms exhibiting high degrees of operating leverage exhibit lower levels of business risk. This statement is: True False *PLS ANSWER DIFFICULT QUESTION* How is the Patriot Act, passed in response to the events of 9/11, a controversial piece of legislation? a.) The Patriot Act only protects American citizens--not immigrants who just arrived. b.) The Patriot Act has divided wealthy Americans poor Americans along economic lines. c.) The Patriot Act can only be used by certain government agencies and not others. d.) Many believe that the Patriot Act interferes with citizen's liberty and violates their privacy. In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 1995 was 0.253 and was0.321 in 1996. The team statistician claims Jeter's overall average was better than Justice's average. What may make this claim possible?Sampling errorCause-and-effect relationshipConvenience errorSimpson's ParadoxConfounding Organisms inherit specific traits and characteristics from their parents.