i
Find the lengths of the diagonals of rectangle WXYZ.
WY= 6x - 7
XZ = 3x + 2

Answers

Answer 1

Lengths of diagonals of the rectangle are [tex]\boldsymbol{11}[/tex] units, [tex]\boldsymbol{11}[/tex] units respectively.

To understand the calculations, check below.

Define rectangle.

A rectangle is a parallelogram in which each angle is a right angle.

Diagonals of a rectangle are equal.

   [tex]WY=XZ[/tex]

[tex]6x-7=3x+2[/tex]

     [tex]3x=9[/tex]

      [tex]x=3[/tex]

So,

[tex]WY=6x-7\\WY=18-7\\WY=11\\XZ=3x+2\\XZ=9+2\\XZ=11[/tex]

So, lengths of diagonals are [tex]\boldsymbol{11}[/tex] units, [tex]\boldsymbol{11}[/tex] units respectively.

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Answer 2

The length of the diagonals of rectangle are 11 units.

What is a rectangle?

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the length of  diagonals rectangles,

WY =  6x - 7

XZ = 3x + 2

The length of the diagonals of any rectangle are equal,

so WY = XZ

6x - 7 = 3x + 2

6x - 3x = 2 + 7

3x = 9

x = 9/3

x = 3

substitute the values

WY = 6x - 7 = 6(3) - 7

WY = 18 - 7 = 11 units

XZ = 3x + 2

XZ = 3(3) + 2

XZ = 9 + 2 = 11 units

Hence the length of the diagonals of rectangle is 11 units.

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Related Questions

Describe how the physical geography of Latin America has
affected transportation and communication. What advances
have been made in these areas in recent years?

Answers

Explanation:

The far-reaching Andes Mountains and the massive Amazon River system dominate South America's physical geography.

South America can be divided into three physical regions: mountains and highlands, river basins, and coastal plains. Mountains and coastal plains generally run in a north-south direction, while highlands and river basins generally run in an

Triangle ABC has a right angle at C. Next, side AB=7m and side CB=4m. Using inverse trigonometric functions, find the degree measures of angle B and angle A.​

Answers

Answer:

A = 34.85°

B = 55.15°

Explanation:

From the diagram attached :

Using inverse trigonometry :

Angle A ;

Sin A = opposite / hypotenus

Tan A = 4 /7

Angle A = sin^-1(4 / 7)

Angle A = sin^-1(0.5714285)

A = 34.849904

A = 34.85°

Angle B;

Cos B = Adjacent / hypotenus

Cos B = 4/7

B = Cos^-1(4/7)

B = cos^-1 0.5714285

B = 55.150095

B = 55.15°

Explain how the increasing use of fossils fuels and changes in agriculture may have contributed to global changes in temperature

Answers

Answer:

The manufacture and use of these releases another greenhouse gas to the atmosphere, nitrous oxide. Therefore, increased use of fossil fuels and changes in agriculture have both contributed to the increase in global temperatures because they have both caused the release of more greenhouse gases into the atmosphere.

Explanation:

Mark this as brainiest please ;)

Between 50 and 60% of greenhouse gas emissions come from the burning of fossil fuels. This is because burning coal, oil and natural gas release carbon dioxide into the atmosphere. Fossil fuels are burnt in power stations to produce electricity, they are made into fuels for transport and also used in building, heating, and manufacturing. The use of them has increased because of population growth and increased economic development, meaning there are more people able to afford vehicles, flights, home heating, and manufactured goods.

For a named emerging country (start by naming the country), assess how far its development
has been influenced by it's location.

Answers

Answer and Explanation:

Brazil is an emerging country whose development was influenced by its location. This is because Brazil, being a very large country, presents different climates during the seasons, so, agriculture can be done throughout the year in different regions of the country. In addition, as it is a tropical country, Brazil has a high incidence of sun, which helps even more in agricultural production, which when exported, helped the development of Brazil. Nevertheless, Brazil has many flat areas with potential for grazing and cattle raising. Brazil also has many bodies of water that allow the exploitation of marine resources and allows for greater national development.

which planet has the greatest extremes of temperature depending on which side faces the sun, and has a thin crust, and a core made of iron and nickel?
a. mars
b. mercury
c. earth
d. venus​

Answers

Answer:

Option b. is correct

Explanation:

Mercury is smaller than any other planet. This planet is very close to the Sun such that it no substantial atmosphere.

Mercury has the greatest extremes of temperature depending on which side faces the sun, and has a thin crust, and a core made of iron and nickel.

Option b. is correct

Is Soft determinism is also known as incompatible

Answers

No. Soft Determinism (also called Compatibilism and Self-determinism): ... In contrast to hard determinism (which claims that determinism is incompatible with freedom). This is what the internet says

_______ is essential for improving the standard of living and increasing the per capita income of the citizens​

Answers

Answer:

GDP

Explanation:

Several people of different ages brought things for the party: Charlie, who's 12, brought the POTATO CRISPS. Wayne brought the FIZZY LEMONADE (he's 13). Helen (11) brought the PAPER PLATES, and her brother Peter (9) brought the PAPER CUPS. Sheila is the same age as Charlie: she brought the PARTY POPPERS. Horace brought the PEANUTS: how old is he?

Answers

Answer:

I don't know. to hard mate ???????

Answers: I think it’s 8 I guess

Which countries had dictators step down after pressure from protestors? 10 poi
Mark all that apply. *
Tunisia
Egypt
Syria
Libya

Answers

Answer:

Túnez

Egipto

Siria

Libia

Explanation:

All of the following political systems would be considered Unlimited governments EXCEPT
a. Constitutional Monarchy
c. Absolute Monarchy
b. Totalitarian Dictatorship
d. Military Dictatorship

Answers

Answer:

i dont know

Explanation:

N which situations below would it be helpful to know the climate of a region? Calling your friend who lives on the other side of the world Traveling to Sydney, Australia Doing a project on the different forms of government around the world. Researching floods and their impact on communities around the world. Item at position 4

Answers

Answer:

Temperature, precipitation, latitude, elevation, nearby water, topography, vegetation, and prevailing winds.

Explanation:

Temperature, precipitation, latitude, elevation, nearby water, topography, vegetation, and prevailing winds are the factors that helps to know the climate of a region. Floods have a large social consequences because it cause great damage to human life as well as to property, destruction of crops, and livestock, it is also cause of waterborne diseases that damage the health of affected people.

which of the following events would be considered a migration push factor ?

Answers

Answer:

Pull factors “pull” people to a new home and include things like better opportunities. The reasons people migrate are usually economic, political, cultural, or environmental.

Yo can I get some help (Yeah yeah yeah yea*

Answers

Ju.lia made a mis.take in her statement.

Answer:

Ju lia made a mistake in her statement

Explanation:

which two are false? FACT SHEET: TRUMAN DOCTRINE
A. $400 million of military and economic aid was proposed by Truman to help Greece & Turkey
B. This marked a shift in American foreign policy and marked the beginning of the Cold War
C. American & British political leaders believed democracies would be reliable allies in trade and war
D. The US feared the Communists would support Communists in the Greek Civil War
E. Congress vetoed Truman's request to send aid to Greece & Turkey
F. The USSR wanted Turkey to give the USSR rights to control the Turkish straits
G. American Diplomats feared a domino effect as Communism would spread across the mediterranean
H. Truman explicitly mentioned the USSR as a threat in his address to Congress
1: The Communist threat was intentionally overstated in Truman's message

Answers

The two false statements about the Truman doctrine are:

American & British political leaders believed democracies would be reliable allies in trade and warThe USSR wanted Turkey to give the USSR rights to control the Turkish straits.

What was the Truman Doctrine?

This was the foreign policy of the United States under Truman that had it that the United States would send economic and military assistance to threatened democratic nations.

The reason for this was the issue that arose due to communism in the world.

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A valley is noticeably lower than the surrounding area. What is one way a valley might form?
A.Magma rises at a divergent plate boundary.
B.Water, wind, or glaciers deposit new crust.
C.Tectonic movements make folds and faults in the crust.
D.Continental plates slip past each other at a transform boundary.

Answers

Answer:

Though erosion due to water

Explanation:

Answer:

C i think that the answer

Describe how heatwaves can bring both positive and negative consequences

Answers

Answer:

Positives -

- There becomes a higher consumption of certain foods and drinks (a boom-time for ice-cream and cold drinks)

- Domestic tourism is having a boon with "stay-cations"

- Measured industrial output rises, hence GDP rises, because of increased use of electricity

Negatives -

- Heatwaves can cause a surge of dry weather. This could lead to Droughts and could have a negative impact on locals. Crops for farmers could dry out, and there could become a lack of vegetation (for animals too).

- Higher death rate for people with certain conditions (e.g. more heart attacks, especially among-st elderly people)

- Reduced numbers for certain forms of entertainment (ie cinema etc)

what is a ideal spot for nomadic sheep herding

Answers

Answer:

The Pamirs is an ideal spot for nomadic sheep herding

Answer: pamirs

Explanation:

Cool air sinking causes:
O A. Low Pressure
O B. A storm
O C. High Pressure
OD. Precipitation

Answers

A) Warm air rises, creating a low pressure zone; cool air sinks, creating a high pressure zone. Air that moves horizontally between high and low pressure zones makes wind. The greater the pressure difference between the pressure zones the faster the wind moves.
A( low)

Do stereotypes, bias, and discrimination exist against Muslim? What are they?

Answers

Answer:

Yes they do exist, some big stereotypes are the common ones like they are all bombers and face discrimination almost everywhere. in fact i believe it is in china where they are suffering from being forced into concentration camps.

Explanation:

What class made up the working class of people in Rome?

Answers

Answer:

Plebeians

Explanation:

Plebeians

Society was divided in two classes – the upper-class Patricians and the working-class Plebeians – whose social standing and rights under the law were initially rigidly defined in favor of the upper class until the period characterized by the Conflict of the Orders

Recalling Facts and Ideas:
In which fields do Europeans work today?

a. heavy industry and mining
b. farming and heavy industry
C. shipping and transportation
d. manufacturing, service and technology industries, and agriculture
Please select the best answer from the choices provided

Answers

i believe it is Answer D :)
I think the answer is d

which two countries had the largest colonial African empires and why do you think those two countries gained larger parts of Africa than other?

Answers

Between 700 and 1600 there were three great empires in the centre of West Africa: Ancient Ghana, Mali and Songhai. They all grew immensely rich by trading in gold.

Ghana dominated the region between about 750 and 1078. Smaller states in the region at this time included Takrur to the west, the Malinke kingdom of Mali to the south, and the Songhai Empire centred on Gao to the east.

Many economies in Europe are
a. shifting towards command economies
b. rapidly declining
c. stagnating
d. shifting to market economies
Please select the best answer from the choices provided

Answers

Shifting towards command economies

Pls help It’s due now

Answers

Answer:

Hope this helps have a great day!

Explanation:

evaporation = gas

condensation= liquid

Melting= liquid

freezing= solid

Explanation:

1) Evaporation- Change from a liquid to a gas

2) Condensation- Change from a gas to a liquid

3) Melting- Change from a solid to a liquid

4) Freezing- Change from a liquid to a solid

Which number on the map is pointing to the city of Jerusalem, Israel?

A) 1
B) 2
C) 3
D) 4

Answers

3? I’m not sure if that’s the correct answer but from my knowledge it should be
I think it’s c for that

the route to the gautrain station at OR Rambo international airport

Answers

Answer:

The distance between O.R. Tambo International Airport and Gautrain Sandton Station is 17 km.

Explanation:

I hope this is what you were looking for! :D

The route to the Gautrain station has a railway link that runs to the OR Tambo International Airport.

About Gautrain Station

Gautrain Station is known to run north to south between Johannesburg and Pretoria on a rail link. Then it runs west to east between Sandton and OR Tambo International Airport.

The Gautrain actually operates a train from OR Tambo International Airport to Sandton. The stops on the Gautrain routes actually includes interesting places and destinations.

Learn more about Gautrain Train on https://brainly.com/question/26609556

please help i need this since it is due today..!

Answers

Answer:

Ediacara fauna, also called Ediacara biota, unique assemblage of soft-bodied organisms preserved worldwide as fossil impressions in sandstone from the Ediacaran Period (approximately 635 million to 541 million years ago)—the final interval of both the Proterozoic Eon (2.5 billion to 541 million years ago) and Precambrian time (4.6 billion to 541 million years ago).

The discovery of the Ediacara fauna demonstrated that a far more complex level of evolution had been achieved during Precambrian time than had been previously thought.

It had long been thought that the Ediacara fauna became entirely extinct at the end of the Precambrian, most likely because of heavy grazing by early skeletal animals. However, more recently, it was thought that environmental events such as changes in sea level played a greater role in the extinction of many Ediacaran organisms. Yet, recent discoveries have led to the current view that a few Ediacara-type organisms continued into the Cambrian. Moreover, some calcareous shelly fossils and sponge spicules have been found in Ediacara-age sediments, indicating that there was some overlap between the Precambrian soft-bodied organisms and the organisms with skeletons in the Cambrian.

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PLEASE HELP ME I WILL GIVE BRAINLIST TO WHO GETS IT RIGHT!!:D
1 Which of the following is a consequence of the new “24-hour news cycle”?
A.
It has forced people to get their news from cable television instead of the Internet.
B.
It forces the American government to shut down national and international media.
C.
It has increased viewership for nightly news broadcasts.
D.
It forces governments to respond and take action more quickly.


Please select the best answer from the choices provided

A
B
C
D
2
Which of these people would be a natural-born US citizen? Select three options.

Ivan was born in Russia, but his mother was born in the United States.
Ethan’s parents were both born in Israel, but he was born in the United States.
Alice was born in France, but all of her grandparents were US citizens.
Pedro’s parents were both born in Spain, but he was born in the US territory of Puerto Rico.
Sebastian was born in Greece, but he moved to the US with his parents before he was two.
3
In which decade did television replace newspapers as the primary news source for American citizens?
A.
1940s
B.
1950s
C.
1960s
D.
1970s


Please select the best answer from the choices provided

A
B
C
D
4
Read the prompt.

Create a program that would get more people to vote in elections.

What is the most effective research question for this prompt?

How many people currently vote in national elections?
Which states have the largest voter turnout?
At what age should people be allowed to vote?
What circumstances prevent people from voting?
5
Which person is being a good community member?

Lola always takes an afternoon walk with her dog.
Ria studies hard to ensure she is on the honor roll each semester.
Cooper does grocery shopping for his family while his parents are at work.
Horace serves sandwiches at the local soup kitchen every Saturday afternoon.
6
How does bias negatively affect source material? Check all that apply.

It demonstrates a lack of academic expertise on a topic.
It forces an author to address counterarguments.
It may reveal an author’s opinion.
It may led to the presentation of only one side of an argument.
It can influence an author’s purpose.
7
What does the constitutional guarantee of freedom of the press mean for news people?

They can write about unsupported rumors as if they were factual.
They must report the news without favoritism toward any point of view.
They can report the news without getting the government’s permission.
They must always challenge the government’s positions on major issues.
8
Which of the following is an example of muckraking?
A.
a politician signing social legislation to change teacher compensation
B.
a journalist uncovering and highlighting the plights of the homeless
C.
a journalist researching a story on a hurricane in the Gulf
D.
a corrupt politician who receives bribes in exchange for a political favor


Please select the best answer from the choices provided

A
B
C
D
9
Which is an example of a secondary source?

news film footage
a diary
a magazine article
a speech
10
What are components of a good research question? Check all that apply.

It is feasible to study.
It focuses on a specific goal.
It reveals the researcher’s bias.
It is relevant to the topic at hand.
It results in only one possible conclusion.
11
Read the passage about protesting.

Alexander is upset about a policy recently enacted by his state government. He talks with several friends who share his concerns, and they decide to take action. They organize a rally at the state capitol. They make signs with strongly worded slogans to get their point across to lawmakers. At the rally, they use a megaphone to share their thoughts with the crowd.

Alexander and his friends are able to do this without the threat of government interference because of which right?

freedom of speech
due process
freedom of religion
freedom of the press
12
Reflecting on whether adding a salad bar to a school lunch menu fixed a problem is an example of

implementing a solution.
weighing advantages.
gathering information.
evaluating a solution.
13
Jacob Riis is best known for his work How the Other Half Lives which was a photographic record of _____________.
A.
The living conditions in urban slums and child labor.
B.
The restricted rights of women in early twentieth-century America.
C.
The rise of corruption in urban centers.
D.
The lack of sanitary practices in the meat-packing industry.


Please select the best answer from the choices provided

A
B
C
D
14
What makes a source credible?

It is found online.
It contains bias.
It is believable or trustworthy.
It supports multiple perspectives.
15
Adding a salad bar to a school lunch menu for students with restricted diets is an example of

evaluating a solution.
gathering information.
implementing a solution.
weighing disadvantages.

Answers

Answer:

D

Explanation:

Which of the following is a consequence of the new “24-hour news cycle”?

answer is d: It forces governments to respond and take action more quickly.

I hope that helps :)

Answer:

What is the purpose of the United Nations? Select three choices.

Maintain world peace

Promote social progress

Promote social justice

Act as a free trade zone

Reduce greenhouse gases

Set rules for trade between nations

a,b and c are the correct answer on edg

Explanation:

name 5 landlocked (completely surrounded by land, Not touching seas/oceans) countries in Africa

Answers

Answer:

South Sudan, Zambia, Niger, Chad, Mali, Uganda

Answer:

A landlocked country or landlocked state is a sovereign state that does not have territory connected to an ocean or whose coastlines lie on ...

Explanation:

maybe that's the answer

Junipers have spread into the grasslands of the Texas Hill Country. Studies show that removing junipers allows more water to reach native grasses in this area. How do we know whether these conclusions are valid?

Answers

Answer:

The answer is D

Explanation:

there wouldn't be any reason to just do something out of spite

Other Questions
CAVA Chemistry 302/303B Unit 2 Lab ReportTHE MYSTERY SALTImagine that you have a barrel of salt, but you forgot to label it. You know it must be either KNO3, or KCl. You look at the solubility curves for KNO3 and KCl and you find that at 35 degrees Celsius, 100 g of water can dissolve about 30 g of KNO3, or about 37 g of KCl.The solubility curves disappear. You only remember the solubility for both salts at 35 degrees Celsius in 100g of water. You know absolutely nothing else about these salts.You have a scale, a hot plate, a thermometer, empty beakers, and plenty of water. You do NOT have any labeled KNO3 or KCl.1. What property can you use to determine whether the barrel contains KNO3 or KCl? Hint: Name the property you could use to identify the mystery salt? (1 point)2. Explain exactly what you would do. Another person should be able to perform your test by following your procedure. Do not bother with why you are doing these steps. Just tell me exactly what to do to perform this test. Hint: Do NOT include any discussion of your results. Save that for #3. (2 points)3. How would your results identify the mystery salt? Hint: What exact results would indicate KNO3? What results would indicate KCl? (2 points)Name: Answers1 (Property):2 (Procedure):3 (Results): 17. Sebuah kaleng berbentuk tabung memilikidiameter alas 20 cm. Jika volume udaradi dalam kaleng 1.570 cm, maka tinggikaleng tersebut adalah ... cm.a. 5b. 10c. 12d. 15 A block of wood 4 cm on each side has a mass of 40 g. What is the density of the block? hii im sorry to be a burden but could someone please help me with this problem it has to do with the pythagorean theorem :p 6 ) hey pls help me with his I have the answers all I need is to show the workConsider angle B in the diagram below . What is the length of opposite side to angle B?Answer: a brainliest, please help, The line PQ has equation y = 3x - 8 and point P has co-ordinates (6, 10). Find the equation of the line that passes through P and is perpendicular to PQ. Give your answer in the form y = mx + c. how do you solve for quadrilaterals and their properties? Seor, Ud. ____________________ el alemn? (hablar) There are 4 blocks in the bag. How many of the 4 blocks do you think are red (R)? The graph shows the results of the first 10 picks. Income tax and property tax are paid straight from citizens to thegovernment. This makes them which type of tax?A. Regressive taxB. Direct taxC. Progressive taxD. Indirect tax Which question would be MOST helpful when trying to identify the theme of a poem?What message can I infer from the poem's details?What rhyme scheme is used in the poem?Which words appear more than once in the poem?What is the most vivid image in the poem? In ancient times, people believed Earth was the center of the Solar System. Which of the following makes the geocentric model impossible?O The moon revolves around Earth.O Earth's gravitational force is much less than the Sun's.o Orbits are elliptical, not circularThere are other planets that are closer to the Sun. aPlay 3)What is the mean of the data set?8, 16, 9, 11 If one movie ticket cost $15, how much will 5 movie tickets cost BRAINLESS.... for the following proportion, find the missing quantity represented by the letter. what is the slope of 4x + 9y = -9 if flour and water was mixed in a cup and then poured in a bottle and then shaken what would happen? Choose the BEST sentence: The soft, pulpy fruit of the passion fruit possesses a flavor at once tart and sweet, and the flavor captivated many prominent chefs, among them Alice Waters. The soft, pulpy fruit of the passion fruit possesses a flavor at once tart and sweet that has captivated many prominent chefs, among them Alice Waters. The soft, pulpy fruit of the passion fruit possesses a flavor at once tart and sweet, the flavor captivated many prominent chefs, among them Alice Waters. The soft, pulpy fruit of the passion fruit possesses a flavor at once tart and sweet that have captivated many prominent chefs, among them Alice Waters. plz help me due today help me In a garden, 1/3 of the flower are yellow,1/6 of them are pink, and 1/3 of the remaining flowers are red.If there are 120 flowers, how many are red? How many are yellow? How many are pink?