Mathematics Middle School

The Transitive Property of Congruence states that if ∠XYZ ≅ ∠​AOB and ∠​AOB ≅ ∠​WYT, then _____.

a.∠XYZ ≅ ∠​ZYX


b.∠XYZ ≅ ∠​WYT


c.∠AOB ≅ ∠​XYZ


d.∠AOB ≅ ∠​AOB

Answers

Answer 1
In other terms, the Transitive Property states that if ∠a = ∠b and ∠b = ∠c, then ∠a = ∠c. So, if ∠XYZ = ∠AOB and ∠AOB = ∠WYT, then ∠XYZ = ∠WYT. The correct answer here would be B. 
Answer 2

By Transitive property ∠XYZ = ∠WYT.

What is Transitive property?

The word "transitive" refers to movement. The transitive property of equality is a property that applies when there are three quantities, a, b, and c, and if a is connected to b and b is related to c by the same rule, then a and c are related to each other by the same rule.

Let's think about the numbers a = b and b = c. Because equality has the symmetric characteristic, writing a = b is equivalent to writing b = a. It follows that b = a and b = c. A must equal c and b since the amount b cannot be equal to two separate quantities.

Given:

∠XYZ ≅ ∠​AOB and ∠​AOB ≅ ∠​WYT

As per the Transitive Property

<X = <Y

and ∠Y = ∠X,

then ∠X = ∠Z.

Similarly,

∠XYZ = ∠AOB

and ∠AOB = ∠WYT,

then ∠XYZ = ∠WYT.

Hence, by Transitive property ∠XYZ = ∠WYT.

Learn more about transitive property here:

https://brainly.com/question/2437149

#SPJ5

Related Questions

Solve z3+3z2−25z−75=0 .

Answers

z^3 + 3z^2 -25z - 75 = 0
Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5

Hope this helps

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest 10th of a gram

Answers

Step 1
Formulate a recursive sequence modeling the number of grams after n  minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829^n]

for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g

Answer:

Just 22.1

Step-by-step explanation:

if you dont want to see step by step like the one above just put in 22.1

Aneesha travels at a rate of 50 miles per hour. Morris is traveling 3 feet per second less than Aneesha. Which is the bestestimate of the speed Morris is traveling?

1 mile = 5,280 feet

45 miles per hour

46 miles per hour

47 miles per hour

48 miles per hour

Answers

3 ft/s * (3600 s/h) * (1 mi)/(5280 ft) = 45/22 mi/h ≈ 2.045 mi/h

Morris's speed is about 50 mi/h -2.045 mi/h = 47.955 mi/h ≈ 48 mi/h

The 4th selection is appropriate.

Answer:

d

Step-by-step explanation:

This cylindrical fish tank has a height of 36 inches and a diameter of 30 inches. What is the volume of the fish tank?

Answers

The formula for the volume of a cylinder is:
area of cross-section x the height.

First lets work out the area of the cross-section. Since the cross-section is a circle, we use the formula π x r²

Halve the the diameter to get the radius, so we can use the formula:
30 / 2 =15

Area of cross-section
π x 15² = 706.8583471 inches²


Now that we know the area of the cross-section, we multiply this by the height to get the volume.

706.8583471 x 36 = 25446.90049
                                 = 25446.90 (2dp)

So the volume of the cylindrical fish tank is  25446.90


The volume of the cylindrical fish tank is 25446.90 inches cube.

What is the volume of a right circular cylinder?

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The formula for the volume of a cylinder is:

The area of cross-section x the height.

Since the cross-section is a circle, we use the formula π x r²

Radius= 30 / 2 =15

Thus, Area of cross-section

π x 15² = 706.8583471 inches²

Now that we know the area of the cross-section,

706.8583471 x 36 = 25446.90049

                                = 25446.90 (2dp)

So. the volume  is 25446.90

Learn more about volume of cylinder here:

https://brainly.com/question/12763699

#SPJ2

DE is a line segment with endpoints D(-5,1) and E(3, 3). What are the coordinates of D’ and E’, the image of DE under a dilation of magnitude 1.5 and a center of dilation at the point (-4,2)?

Answers

First step is to calculate distance between point D and center of dilation:
x= |-4-(-5)| =1 
y= |2-1| =1

Now we multiply this distance by the dilation factor
x_distance = 1 * 1.5 = 1.5
y_distance = 1 * 1.5 = 1.5

Now we do same for point E:
x= |-4-3| =7 
y= |2-3| =1

Now we multiply this distance by the dilation factor
x_distance = 7 * 1.5 = 10.5
y_distance = 1 * 1.5 = 1.5

Now we need to find coordinates for points D' and E'.
Point D':
x = -4 - 1.5 = -5.5
y = 2 + 1.5 = 3.5
Point E':
x= -4 + 10.5 = 6.5
y= 2 + 1.5 = 3.5

D'(-5.5, 3.5)
E'(6.5,3.5)

Answer:

d= -2, 0

e= 6, 4

Step-by-step explanation:

Doing the same practice right now!!

Betty saves 3 times as much as Ann. Charles saves 390 less than Ann. If Betty saves 1,330 more than Charles, how much does Charles save

Answers

To answer this, I set up a system of equations for each sentence mentioned (B=3A for Betty, A - 390 for Ann, and B = (A - 390) + 1330 to show the relationship between Betty and Charles's amounts. The way to answer this is to replace the B with the 3A that represents Betty's amount. This creates 3A= (A-390) + 1330. By having only one variable you can then solve the equation to find Ann's amount. If you know Ann's amount, you can figure out Charles' amount. To solve the equation add 1330 and -390 which is the same as subtracting 390 from 1330. This leaves you with 3A= A + 940. Subtract 1A from both sides, to leave you with 2A = 940. Solve for a by dividing both sides by 2. This leaves you with A= 470. Take this value of a and substitute it in to Charles's equation which is C = A - 390. 470 - 390 equals 80. This is Charles' amount saved.

The ordered pairs (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15) represent a function. What is a rule that represents this function? a: y=x^3 b: y= 3^x c: y=3x d: y= x+3

Answers

In case you don't know your times-3 numbers well enough to recognize the answer right away, you can check the second data point.
.. a. 2^3 = 8 ≠ 6
.. b. 3^2 = 9 ≠ 6
.. c. 3*2 = 6
.. d. 2 +3 = 5 ≠ 6

Only selection C makes sense.
Answer: option c: y = 3x

Justification:

All the ordered pairs meet that the second number of the pair equal 3 times the first number of the pair:

Here is the proof:

Pair         first number times 3   second number of the pair
  
(1, 3)         3 * 1 = 3                         3   => check

(2,6)          2 * 3 = 6                         6   => check

(3,9)          3 * 3 = 9                         9   => check

(4,12)        3 * 4 = 12                      12 => check

(5, 15)       3 * 5 = 15                      15 => check.

So, all the pairs meet the rule y = 3x

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

Answers

The possible length of side XZ could be 50 mm

Which could be the length of side XZ?

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

The length of side XY = 29 mmThe length of side YZ = 43 mm

Using the triangle inequality theorem, we have

Smallest length of XZ  = 43 - 29

Smallest length of XZ  = 14

Largest length of XZ  = 43 + 29

Largest length of XZ  = 72

So, we have

Range: 14 < x < 17

This means that the length of side XZ could be 50 mm because 50 is in the range 14 < x < 17

Question

In triangle XYZ, the length of side XY is 29 mm and the length of side YZ is 43 mm. Which of the following could be the length of side XZ?

10 mm

89 mm

50 mm

3 mm

three friends go to the local farmers market. latasha spends $3.35. helen spends 4 times as much as latasha. Dee spends $7.50 more than helen. how much does Dee spend?

Answers

3.35 times 4 is 13.40 and then you add 7.50 more to 13.40 which gives you 20.90 which is how much dee spent

A spinner is divided into equal parts 1-5. George spun the spinner 300 times

Answers

2 and 4 are the only even numbers, so add the two and divide by 300. 66+72 = 138/300 = 23/50 or .46 or 46%

The strategy we were introduced to says to _________ as the last step before you declare that you have completed the problem. Look back to see whether you solved the problem that was given Check your math Re-read the problem just in case. Use a calculator to double check your work.

Answers

Use a calculator to double check your work.

Please Help Me:
In which number is the value of the 9 ten times the value of the 9 in the number 920?

A. 509,000

B. 7,190

C. 8,900

D. 293,000

thank you!

Answers

Answer:

509,000

Step-by-step explanation:

The problem said that the 9 is ten times so when it said that the 920 is an example it actually mean to find that the 9 it gave us we have to find the 9 in the number 920.Here is an equation to help you.

900 x 9=9000.

the number 509,000 has the number 9 in the 1,000 place.

The place value is the value of a digit in a given number.

The number given in the question is 920. The place value of 9 is in the hundreds position.

Hence, The value of 9 is 900

The value of the 9 ten times the value of the 9 in the number 920 is calculated as

9 x 900 = 8900

Option C is the correct option.

Therefore, the value of the 9 ten times the value of the 9 in the number 920 is 8900.

To learn more, kindly click the link below:

https://brainly.com/question/8974818

What do ranges compare

Answers

Answer: A range compares the highest and lowest value in a data set.
Range compares the spread of the data.

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.


Which polling methods are likely to be biased?


Select each correct answer.


A. Five of Janine's friends are selected and asked for whom they intend to vote.


B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.


C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.


D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

Answers

A and D are the most biased answers. Your welcome.

how to find answers for 4th grade Mixed number addition homework link 5 - 4?

Answers

Can us show us the problems.

On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to find experimental probability of sunny days each day for a week in Henderson county.

Answers

We have that the probability to have a sunny day is approximately 75%. Hence, the probability that we have 2 sunny days in a row is 75%* 75% (we are kind of assuming that the weather of a day plays no role on the weather of the next day, which is not completely true). That is because for it to 2 sunny days, both days have to be sunny. It is analogous to a coinflip; the chance we get 2 heads is 50%*50%, the chance we get 3 heads is 50%*50%*50% and so on. Hence, we have that the chance that a week is sunny in the county is 75% to the seventh power. This yields that the chance is around 13.3%

One possible model is:

You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.

Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.

Solve the system of linear equations by elimination.

x+y=3
x−y=1
I need the solution so ordered pair (x,y)

Answers

   x+y=3
+ x-y=1
2x=4
x=2

x+y=3
2+y=3
-2.   -2
y=1

(2,1)
the first x is 2 and the second x is 2,1

Describe a real-world situation that the graph could represent

Answers

You could say one person is at 1:5 and say they moved up and up

The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? 20 mm 30 mm 40 mm 60 mm

Answers


a^2 + b^2 = c^2 
c = hypotneuse

give him brainliest :)

btw i didn't know how to spell it lol

amy has 30 grams of flour. she puts 4 grams of flour in each pot of chowder that she make. she puts 5 grams of flour in each pot of potato soup that she makes. she makes 4 pots of chowder. does amy have enough flour left over to makes 3 pots of potato soup.

Answers

No because if she has 30 grams of flower, 16 are being used by the chowder. She would only have 14 grams of flour left and she would need 15 for 3 pots of potato.

After using 16 grams of flour to make 4 pots of chowder, Amy has only 14 grams of flour left, which is not enough to make 3 pots of potato soup, each requiring 5 grams of flour.

To solve this problem, we need to calculate the total amount of flour Amy uses for the chowder. Since she makes 4 pots of chowder, she would need:

4 pots × 4 grams/pot = 16 grams of flour

After making the chowder, Amy would have 30 grams - 16 grams = 14 grams of flour left.

Amy wants to make 3 pots of potato soup, and each pot requires 5 grams of flour. Therefore, she would need:

3 pots × 5 grams/pot = 15 grams of flour for the potato soup

Since Amy has only 14 grams of flour remaining, she does not have enough flour to make 3 pots of potato soup.

i need to know what the variable of x is please explain

Answers

The answer is: x = 36
i think its x=36 hope this explains it

in a art class,40% of the students used watercolors for painting.Ten students in art class used watercolors.How many students were there in the class

Answers

There are 25 students Work

What is the best estimate for the sum of 3/8 and 1/12

Answers

you should estimate it to 7/8
 
We can use the bench marks for fractions which are 0, 1/2, and 1 . We need to figure out what benchmark 3/8 is closest to which is 1/2 or we can say 4/8 to make it more easier. Now we can look at 1/12 . 1/12 is closer to 0. If we’re looking for the sum, we need to add 1/2 with 0. 1/2+0= 1/2. 1/2 is your answer.

Terrance has one fewer sibling than Casey. Kolbie has three more siblings than Terrance

Answers

if Terrance has x siblings then Casey has x+1silblings and Kolbie has x+3siblings. what are you trying to solve??

Final answer:

By setting up simple equations based on the given statements, we can determine the relative number of siblings that Terrance, Casey, and Kolbie have.

Explanation:

Based on the provided statements, we can set up a system of simple algebraic equations to solve for the number of siblings each person has. Let's assume Casey has C siblings. According to the given information:

Terrance has one fewer sibling than Casey, which can be represented as T = C - 1.

Kolbie has three more siblings than Terrance, which can be represented as K = T + 3.

Therefore, Kolbie's equation becomes K = (C - 1) + 3 or K = C + 2 after simplifying. Through these relationships, we can understand the relative number of siblings each individual has.


while hiking on the grand canyon you realize your elevation is 2,400 ft. Is this elevation below sea level?

Answers

No, because it rises up to 9000 ft above sea level

what is equivalent to 3 to the negative 2nd power

Answers

3 to the negative second power is written like this: [tex] 3^{-2} [/tex]. 

When simplifying an expression with a negative exponent, you take a positive version of the exponent, in this case that would be 2, and apply that to the base. 
After doing that, we have 9. 
The next step is to put one over that number.
In this case, now after doing that the answer is [tex] \frac{1}{9} [/tex]. 

Hope this helps!

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.

Answers

Where is the list will all of this the list is needed

Car 1 and car 3 have the same speed.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

To find which cars traveled at the same speed, we need to calculate the speed of each car. We can do this by dividing the distance traveled by the time it took to cover that distance.

For example, car 1 traveled 140 miles in 2 hours, so its speed was:

Speed of Car 1 = Distance of Car 1 / Time of Car 1 = 140/2 = 70 miles per hour.

Similarly, we can calculate the speed of each car using the given data. When we do this, we get:

Speed of Car 1 = 70 mph

Speed of Car 2 = 80 mph

Speed of Car 3 = 70 mph

Speed of Car 4 = 50 mph

We can see that Car 1 and Car 3 traveled at the same speed, which was 70 miles per hour. Therefore, the answer is that Cars 1 and 3 traveled at the same speed.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ3

The complete question:

Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.

Car      distance    time

1             140            2

2             160           2

3              210           3

4              200          4

!!!15 POINTS!!! A rectangle is 13 yards long and 23 yards wide. What is the area of the rectangle? Enter your answer in the box as a fraction in simplest form.

Answers

Answer:

i think the answer should be

2/9 yd2

hope i helped :)

The required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

How to calculate the area of the rectangle?

In order to evaluate the area of the rectangle we must know the length and width of the rectangle and put this measure of length and width of the rectangle in the formula of area,
Area of the rectangle = length × width

Here,
From the question,
we have length = 23 yard and width  = 13 yards

Area of the rectangle = 23 × 13
                                = 299 square yards

Thus, the required area of the rectangle with dimensions 13 yards long and 23 yards wide is 299 square yards.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ6

What is the area of a square rug that measures 6 feet on a side? 3 square feet 24 square feet 12 square feet 36 square feet

Answers

Well we know the area of a square is l*w, or s^2. So we can use s^2 where s=6 in your case. Now 6^2 is 6*6, which is 36.

So the area of a square rug that measures 6 feet is 36 feet

Answer= 36 feet
36ft is the area of a square rug that measures 6ft on a side.

give all of the possible numbers that could be hals mystery one-digit number

Answers

Mystery one-digit number
Well... all of the possible numbers must have only one digit
1, 2, 3, 4, 5, 6, 7, 8, 9, 0 are all possible numbers. 

Hope this helps
Other Questions
Based on the excerpt, what conclusion can readers draw about Guenever? A) She treats people with compassion. B) She is admired for her intelligence. C) She feels uncomfortable in crowds. D) She is held in high esteem. Read the passage.Edgar Allan PoeThe great American writer Edgar Allan Poe is known for his haunting poetry and his literary criticism. His skill as a critic had great influence on the writing of his time; it also earned him enemies. Poe led a life that can only be described as tragic, yet he left an indelible mark on American literature.Considering its tone and language, who would be the most likely audience for this passage?elementary studentsnewspaper readersa friend of the writerhigh school students Name as many different categories of substances carried in plasma as you can What is the main genetic issue of neurofibromatosis? Why does that cause a disease or issue? Collections of nerve cell bodies outside the central nervous system are called ________. ganglia nuclei nerves tracts List the three independent nations of the Three Kingdoms period in Korea. A box contains 3 cherry frozen treats and 2 grape frozen treats. Maggie takes a treat from the box without looking, gives it to her brother, and then selects another treat. What is the probability that her brother gets a grape treat and she gets a cherry treat? With whom is Gulliver engaged in a character vs. character conflict? A. Glumdalclitch B. the king C. the queen D. the farmerif you know the answer to this please add me so i can get some help when needed :) thank you. What two events made it possible for Christianity to grow rapidly? Select all that apply. A. Theodosius I made it the official religion of the Persian Empire. B.The Edict of Milan came into being. C.The Roman Empire split. D.Theodosius I made it the official religion of the Roman Empire. Do butterfly get food by eating other organisms Of all the houses on kermit lane, 20 have front porches, 20 have front yards, and 40 have back yards. how many houses are on kermit lane? Express the complex number in trigonometric form. 3 The death penalty does not deter crime and should therefore be abolished in the United StatesThis is an example of which type of claim?A- Claim of definition B- Claim of fact C- Claim of policy D- Claim of value Which phrase describes an unknown or changeable quantity? A.60 seconds multiplied by 5 B.2 times the number of pages in the book C.15 years of schooling D.3 dollars and 76 cents Divide 3x^2 -2x^2 -61x -20 by x -5 The sun is wonderful source of energy. It is renewable and natural with few dangers. Solar cells rely on the sun for energy. These cells would be more practical to use if they were ________. A) larger B) Nonrenewable C) Pollution-free D) less expensive Preterito de oir, leer, creer y destruir Quiz 1. Which of the following countries borders Uruguay?1. Panama2. Chile3. Brazil4. Peru2. Uruguay has suffered a series of which kind of natural disaster?1. droughts2. cyclones3. tsunamis4. forest fires3. Which of the following is a reason the residents of Montevideo might be glad about the reopening of el Observatrio Meterorologico del Colegia Pio?1. it provides another school for sudents to attend2. it may provide education about meteorites3. it provides a safe location to be during earthquakes4. it provides acurate weather info and training in meteorology 4. In the event of un incendio, whom should you call first?1. los bomberos2. los paramedicos3. los heridos4. los reporteros5. Atillio Pelossi is best remembered for beng1. asustado2. muerto3. valliente4. vivo6. which of the following options includes two natural disasters?1. la lluvia, investigar2. escapar, la tormenta3. el terremoto, la tormenta4. el noticerio, la inundacion7. He read the newspaper. What is the best way to write "He read" in Spanis?1. Leyo2. Leio3. Leyeron4. Lee8. "Yo trabajaba en esa empresa" is best translated as1. i am working for that company2. once i worked for that company3. i never worked for that company4. i used to work for that company9. which of the following options is the best to complete the sentence? Cuando eelos llegaron, Maria ______1. hablo por telefono2. hablaron por telefono3. hablaba por telefono4. hablaban por telefono Strong cultures can have powerful effects on employee behavior. how does this create inadvertent control mechanisms? Of the following terms, the one that includes all others isa)Oxidation b)Respirationc)Metabolism d)PolinationPlz give the correct answer with reason Which one of the following statements best describes the just world hypothesis?A.People deserve what happens to them, whether good or bad.B.The world is just, but some people don't think it is.C.People who work hard are superior to those who are lazy.D.If people act with integrity, they contribute to a just world.