Parallelogram P Q S R is shown. The length of P Q is (4 x minus 1) centimeters and the length of R S is (3 x + 7) centimeters.
The perimeter of parallelogram PQSR is 74 cm. What is QS?

4 cm
6 cm
8 cm
12 cm

Answers

Answer 1
The answer: 6 cm

This is because sides PQ and RS are equal so set the two expressions equal

4x-1=3x+7

X=8

Then plug eight back into one of the expressions

4(8)-1=31

That means both sides PQ and RS are 31 cm, 62 cm are accounted for out of 72. Subtract 62 from 72 to find out how much is left

72-62=12

There are two sides left so divide by 2

12/2=6
Answer 2

Final answer:

The length of side QS in the parallelogram PQSR is 31 centimeters, which is found by solving for 'x' from the given perimeter and using the property that opposite sides in a parallelogram are equal.

Explanation:

To solve for the length of side QS in parallelogram PQSR, we first need to determine the value of 'x' by using the given information about the perimeter. The perimeter of a parallelogram is the sum of the lengths of all its sides, which means that the lengths of opposite sides are equal. Given that PQ = 4x - 1 and RS = 3x + 7, we conclude that PQ = RS because they are opposite sides; therefore, 4x - 1 = 3x + 7. Solving for 'x' gives us x = 8.

Since PQSR is a parallelogram, we know that the lengths of opposite sides are equal. Thus, the length of side QS is equal to the length of side PR, which is 4x - 1. Substituting 'x' with 8, the length of QS is 4(8) - 1 = 32 - 1 = 31 centimeters. The perimeter is given as 74 cm, which confirms that the sum of all sides (2(4x - 1) + 2(3x + 7)) equals 74 when x = 8.

Therefore, the choices provided in the question do not include the correct length of side QS, as it is 31 centimeters.


Related Questions

What type of government is the United Kingdom?
O a parliamentary democracy under a constitutional monarchy
O a republic
O a socialist democracy
O a monarchy

Answers

Answer:

the first one (a)

Explanation:

-a parliamentary democracy under a constitutional monarchy

The Marshall Plan succeeded in providing
A. military aid to Eastern Europe.
O
B. economic aid to Western Europe,
O
C. increased political stability in the United
States.
O
D. support for the struggling nations of Eastern
Europe.

Answers

Answer:

B. Economic aid to Western Europe.

Explanation:

The Marshall Plan injected more than $15 billion dollars into the Western European economies ravaged by WWII. It helped the economic recovery of postwar Europe, it help laid the basis for new prosperity  and social and political instability.

Who is Davis referring to when he states “by wanton aggression on the part of
the others”?
A slaveholders
B Abraham Lincoln
C Democrats
D Northern states

Answers

the answer is B) Abraham Lincoln

The Davis is referring to Abraham Lincoln when he states “by wanton aggression on the part of the others”. Thus option (B) is correct.

Who is Abraham Lincoln?

Abraham Lincoln was the President of the United States. He is best known for his leadership during the American Civil War and his efforts to preserve the Union and end slavery.

During his presidency, Lincoln also signed several landmark pieces of legislation, including the Homestead Act, which granted land to settlers in the western United States, and the Emancipation Proclamation, which declared that all slaves in the Confederate states were to be set free.

To  Abraham Lincoln, the Davis is referring  when he states that “by wanton aggression on the part of the others”. Therefore option (B) is correct.

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How did the Vietnam War affect education in the United States?

Answers

Answer:

Men who came of age in the Vietnam War accumulated more college education than those maturing either before or since.

Explanation:

Answer:

Men who came of age in the Vietnam War accumulated more college education than those maturing either before or since, a Government study has found. The researcher who prepared the study said the change was probably caused by a combination of some men's avoiding the draft and others' using the G.I.

Easy!!!Setting speed limits and specifying rules for inspecting food products are examples of
Group of answer choices

A-Statutory Law
2-Constitutional Law
3-Criminal Law
4-Administrative Law

Answers

Answer:

A - statutory law

Explanation:

explain something you learned about the state court system

Answers

Legislative writes the laws.

Executive Executes laws from official.

The court system is Judicial.

There are 3 branches.

1) Legislative

2) Executive

3) Judicial

Definitely that my everything is legal

What is Social Darwinism?

A. The theory that the principle of natural selection applies to humans as well as animals and plants.

B. The application of ethics to social issues like poverty, crime, education, and workplace reform.

C. The idea that other societies have to accept European culture in order to be regarded as civilized.

Answers

I think the answer is A. I hope this helps out! ☺️

Answer:

I think it's A

Explanation:

1. the theory that persons, groups, and races are subject to the same laws of natural selection

2. "survival of the fittest."

How would you explain the Japanese internment camps to a little kid?

Answers

Answer:

As a bad, scary place they would not want to be apart of or experienced

Explanation:

Try to be gentle with the subject but still get your point across

It was a horrible thing that happened and people are now beginning to do much better.

Did the industrial revolution have an overall positive or negative impact on people’s lives ?

Answers

Answer:

Durring the industrial revolition the overall positive was peopel got jobs, goods were made and citys were able to hold them self up. The negitive would rather been poor working conditionds, low wages, and laslty wherever you work it was the same.

Explanation:

Answer:

The Industrial Revolution had an overall positive impact because it was a time when people were making great strides in technology and creating inventions that would benefit generations to come. It also benefitted all people, not just the wealthy. However, there many negative elements associated with the Industrial Revolution such as poor working conditions, poor living conditions, low wages, child labor, and pollution. Even though this is true, I believe it has improved society for the better because it has helped us find better, more efficient ways of doing things.

Which are rights guaranteed by the Magna Carta?



Choose all answers that are correct.



For a freeman to be put in jail or fined, he must have broken a law and he must have been tried by a jury.


All serfs throughout England were freed from any further obligation to their feudal lords.


If the king did not show adequate care and concern for his subjects, he could be removed.


If special taxes were needed, a council composed of great nobles and clergy had to approve them.

Answers

Answer:

For a freeman to be put in jail or fined, he must have broken a law and he must have been tried by a jury.

If special taxes were needed, a council composed of great nobles and clergy had to approve them.

Explanation:

The rights guaranteed by the Magna Carta were For a freeman to be put in jail or fined, he must have broken a law, and he must have been tried by a jury and If special taxes were needed, a council composed of great nobles and clergy had to approve them. Thus, option 1st and 4th are correct.

What is Magna Carta?

Magna Carta, which was published in June 1215, was the first document to codify the notion that the monarch and his administration were not above the law. It attempted to prevent the monarch from abusing his power and imposed boundaries on royal authority by establishing law as a force in and of itself.

All free men have the right to justice and a fair jury trial. The Monarch has no ultimate power. The Law is above all persons and applies equally to all. All free citizens have the right to possess and inherit property.

The rights under this rule were that A freeman cannot be imprisoned or penalized unless he has broken a law and has been tried by a jury and If special taxes were required, a council would be formed. Hence, option 1st and 4th are correct.

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What statements are true of the Magna Carta

Answers

Answer:

Explanation:

Magna Carta, which means 'The Great Charter', is one of the most important documents in history as it established the principle that everyone is subject to the law, even the king, and guarantees the rights of individuals, the right to justice and the right to a fair trial.

Answer: I Don't know the answers but a explanation may help

Explanation:

Magna Carta, which means 'The Great Charter', is one of the most important documents in history as it established the principle that everyone is subject to the law, even the king, and guarantees the rights of individuals, the right to justice and the right to a fair trial.Feb 2, 2015

Explain the new policies that were established in the 1868 Constitution of SC. Why did the white population not agree with it?

Answers

to be completely honest I have no mf idea

In his 1896 bid for president, William Jennings Bryan was supported by both the

A. Democratic and the Republican parties.

B. People’s and the Republican parties.

C. Populist and the People’s parties.

D. People’s and the Democratic parties.

Answers

Answer:

D

Explanation:

D and that’s on periodddd

Which describes a unitary system?

Answers

Answer:

C.) The national government makes all laws for its citizens.

Explanation:

A key clue here is the word unitary, which means forming a single or uniform entity. As such a unitary system of government is one that is governed as a singular entity. Some examples of countries with a unitary government include Japan, France, and Saudi Arabia.

What was the Soviet unions reaction to Nixon visit to china

Answers

Answer:

In an amazing turn of events, President Richard Nixon takes a dramatic first step toward normalizing relations with the communist People’s Republic of China (PRC) by traveling to Beijing for a week of talks. Nixon’s historic visit began the slow process of the re-establishing diplomatic relations between the United States and communist China

Use your imagination and write a short story about the lives of the people in the picture. Assign names and personalities to the people in your story

Answers

Answer:

En una reunion de trabajo hace mucho tiempo, varios hombres estaban debatiendo sobre economia politica, juan, que era extrovertido llego al acuerdo de mantener los precios, pero Pedro, que era conservador y de muy mal humor se oponia, se llego a cuerdo cuando Esteban dio la idea de solo subir un poco los precios en las regiones que nesecitaban mas recursos.

Explanation:

What is the Peace Corps?

a set of international talks to end the buildup of nuclear weapons

a set of domestic programs to reduce the national poverty rate
a volunteer group that coordinates humanitarian help in developing countries

an economic initiative to establish the environmental goal of land conservation
Previous

Answers

a volunteer group coordinating humanitarian help in developing countries

Answer:

A volunteer group that coordinate humanitarian help in developing countries!

Explanation:

2. Which is one of the three actions the Supreme Court may take when it reviews a
case?
A have the case reviewed by the Senate
B send the case on to a higher court
Csend the case back to the lower court
D try the case with new evidence

Answers

Answer:

c.

Explanation:

c

:)) i have to make this longerrrr

Monopolized means taken control of, and scanty remuneration means “little pay.” What point is Stanton trying to make in this quote? Women are not allowed to hire other people because only men are employers. Women can only follow careers that do not pay well. There are not many jobs available to women and those jobs that are available do not pay well.

Answers

Answer: It's C

There are not many jobs available to women and those jobs that are available do not pay well.

Explanation:

Answer:

C)There are not many jobs available to women and those jobs that are available do not pay well.

Explanation: Just did it :)

Pls help Asap
Identify factors that aided westward expansion and encouraged mass migration to the West.
a. signing of the treaty of Guadalupe Hidalgo
b. Battle of the Alamo
c. California gold rush
d. breaking off of peaceful relations with Mexico

Answers

They traveled west for the California gold rush. That’s also when other countries started coming to America as well.

answer is C

Answer:

its California gold rush

signing of the treaty of Guadalupe Hidalgo

Explanation:

The Federal Trade Commission was established in 1914 to prevent unfair business practices. establish and maintain tariffs. regulate banking and credit practices. strengthen the rights of workers . ???? I don’t not

Answers

Answer:It is an independent administrative agency. Since the agency was established by President Woodrow Wilson, it has been protecting investors, consumers, and business from practices that are anti-competitive. Some of the anti-competitive practices include monopolies, unfounded product claim, monopolistic merger, price fixing and bid-rigging. The FTC function has greatly help the U.S economy to function properly, safely for investors, consumers, and businesses at large.

The main reason the federal trade commission was set up was to re-enact, regulate and made some clarification to what the antitrust act and Clayton antitrust act prohibited. These two laws encourages competition to the detriment of consumers and investors.

Answer:

To prevent unfair business practices

Explanation:

What was Fernando Chavez’s message to Cesar Chavez

Answers

Thy shall yeetus out og here
Final answer:

Fernando Chavez's specific message to Cesar Chavez is not provided, but Cesar Chavez, influenced by Gandhi's nonviolent approach, led the UFW with Dolores Huerta to fight for migrant farm workers' rights, using boycotts and strikes to achieve unionization and better working conditions.

Explanation:

The message that Fernando Chavez gave to Cesar Chavez is not detailed in the information provided. However, we can discuss the context surrounding Cesar Chavez's involvement in the plight of migrant farm workers and his influence by the nonviolent tactics of the civil rights movement.

Cesar Chavez was crucial in leading the United Farm Workers (UFW) alongside Dolores Huerta in the fight for the rights of migrant farm workers. Influenced by the nonviolent philosophy of Mahatma Gandhi, Chavez undertook a hunger strike in 1968 to bring attention to the struggles of migrant farm workers. The UFW utilized nonviolent tactics including strikes and boycotts, particularly the famous boycott of California grapes, to demand better wages and conditions for farm workers. By the mid-1970s, this union activism had led to the unionization of approximately 50,000 workers.

Chavez's efforts drew national attention and garnered support, including solidarity from figures like Martin Luther King Jr. The movement saw success in 1970 when grape growers agreed to provide better pay and benefits to farm workers, although the broader struggle for farm workers' rights continued beyond this victory.

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A bag contains 30 red marbles, 2 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it back in the bag. You repeat this process 200 times. How many white or gray marbles do you expect to get?


If you randomly pick out a marble and replace it 200 times, you can expect


white or gray marbles to be chosen.

Answers

Answer:

If you randomly pick out a marble and replace it 200 times, you can expect 50 white or gray marbles to be chosen.

Explanation:

30 + 2 + 8 = 40

white & gray = 10

10/40 = 0.25 or 25%

0.25 x 200 = 50

How did did Hitler abused his power?

Answers

Answer:

Hitler abused his power by taking over all of germany and started attacking other countries and hurting people.

Explanation:

Hitler killed people in concenteration camps who didn't look like an "ideal" person. Primarily Jewish people. He started taking over other countries and tried to take over the world causing a huge War.

Hitler abused his power by manipulating the democratic process, securing emergency powers, and systematically dismantling the Weimar Republic's institutions to create a totalitarian dictatorship. He suppressed civil liberties, eliminated political opposition, and led aggressive expansionism that precipitated World War II.

Adolf Hitler's rise to power was marked by the exploitation of democratic processes and emergency decrees that ultimately dismantled the Weimar Republic and established a dictatorship. After being appointed chancellor in 1933, Hitler used the Reichstag fire to convince conservative parliament members to grant him emergency powers through the Enabling Act, which allowed him to bypass parliament and rule by decree. These powers led to the suppression of civil liberties, the purge of political opponents including a move known as the "Night of the Long Knives," and the eventual assumption of the title of Führer, combining the roles of chancellor and president. Under his leadership, Germany embarked on a path of expansionism, leading to the onset of World War II with the invasion of Poland in 1939.

Central to Hitler's power abuse was his ability to leverage existing economic distress and political instability to enact laws and actions that consolidated his control and eliminated opposition. This included the systemic persecution of minority groups, suppression of the free press, and establishing a one-party totalitarian state that controlled all aspects of government and society.

Help me out I need this answer fast

Answers

The Answer is France

Which type of law involves individuals and organizations seeking to resolve legal disputes?

Answers

Answer:

Civil Law

Explanation:

Civil Law is a branch of law that involves individuals and organizations seeking to resolve legal disputes.

In this picture, Franklin Roosevelt is seated

Answers

Umm there is no picture and what’s the question

Answer: (B) In the middle

Explanation:

The Civil Rights Act:

a.
prohibited racial discrimination in places of public accommodation, but not private accommodation.

b.
prohibited racial discrimination in places of employment only.

c.
was seen by Lyndon Johnson as “a fitting memorial” to John F. Kennedy, after his assassination.

d.
was amended a year later to prohibit racial discrimination in private accommodations.

e.
did not include a ban on discrimination on the basis of “sex” until the original bill was amended two years later.

Answers

The correct answer is the choice E

The civil rights act did not include a ban on discrimination on the basis of “sex” until the original bill was amended two years later. The correct option is (e).

What do you mean by the Civil rights?

The U.S. Constitution and federal legislation passed by Congress, such as the Civil Rights Act of 1964 and the Americans with Disabilities Act of 1990, provide and safeguard civil rights, which are individual freedoms. Legal discrimination is protected by civil rights.

The American civil rights movement was sparked by the marginalization of African Americans, which started in the 1950s and grew throughout the early 1960s.

Marches, boycotts, and acts of civil disobedience like sit-ins were all part of that movement, which had its roots primarily in African American churches and institutions in the South.

The majority of the initiatives were local, but they had a significant national impact, serving as a model for civil rights organizing that has since extended around the world.

Therefore, the civil rights act did not include a ban on discrimination on the basis of “sex” until the original bill was amended two years later.

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Which of these factors made the greatest contribution to the success of the allies in ww2?

Answers

Vietnam and Chinese

Answer:

Industrial capabilities

Explanation:

Which power is granted both to the federal government by the United
States Constitution and to Louisiana by its state constitution?
A. declaring war on other countries
B. raising an army and a navy
C. collecting taxes from citizens
D. making treaties with foreign nations

Answers

The power that is granted to the federal government by the United States Constitution and to Louisiana by its state constitution is C. collecting taxes from citizens

What are Concurrent Powers?

Powers of a federal state that are shared by the federal government and each constituent political body, such as a state or province, are known as concurrent powers.

Within the same region, with respect to the same group of individuals, and with regard to the same subject matter, these powers may all be used concurrently and this includes collecting taxes from citizens

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