How do you prove two equilateral triangles are congruent?

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Answer 1

As we know that each angle of equilateral triangle is  same and have a measure of [tex]60^0[/tex].

so let us we consider 2 different equilateral triangle ΔABC and  ΔPQR

let the side length of  ΔABC be a units.

let the side length of ΔPQR be b units.

so each angles of both triangle measure [tex]60^0[/tex].

So we will apply ASA (Angle-Side- Angle) rule to check the congruency of triangle :

This rule state that:

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

so 2 angles of both triangle is same have same measure of [tex]60^0[/tex] but the side included in ΔABC is a units and side included in  ΔPQR is b units.

so in order to make both triangle congruent side length of ΔABC must be equal to side length of ΔPQR.

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Related Questions

What made the election of 1932 so important ?

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Franklin Roosevelt was the first Democrat to win the presidency on November 8, 1932, by a majority vote rather than a plurality.

Who won the 1932 election, and what did he pledge to do about the Great Depression?

Roosevelt said to the American people in his victory speech, "I vow you, I pledge myself, to a new bargain for the American people," in response to the issues caused by the Great Depression. Roosevelt easily won the election that was held in the fall of 1932.

What did the winner of the 1932 election promise to do about the Great Depression?

In response to the problems brought on by the Great Depression, Roosevelt remarked to the American people in his victory speech, "I swear you, I commit myself, to a new deal for the American people." The election, which was place in the fall of 1932, was easily won by Roosevelt.

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What is the aim of the Bill of Rights?

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The Bill of Rights attempts to uphold each citizen's constitutionally protected individual rights.

The Bill of Rights: Was it required?

For the people, a bill of rights would act like a fire bell, alerting them as soon as their rights were under danger. Additionally, some Antifederalists contended that because the Constitution constituted a founding agreement with the people, the safeguards of a bill of rights were crucial.

Which of the Bills of Rights is the least crucial?

The Third Amendment does not now appear to have any direct constitutional significance; in fact, it is the Bill of Rights amendment that has generated the fewest legal disputes and has never been the basis for a Supreme Court decision.

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Why are military and economic alliances so important ?-?

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The overlap between economic and military alliances creates geopolitical interdependence. Economic prosperity requires geopolitical stability (wars hurt trade) ensured by military alliances.

What are the advantages of alliances between nations?

By partnering with companies in other countries, it is possible to enter new markets. Local businesses can conduct local market research, share political and legal knowledge, speak the local language, and socialize more easily.

Why are economic alliances important?

The superpowers are not only linked economically, but also through economic alliances. This is achieved through free trade agreements that allow tax-, tariff- and quota-free trade of goods and/or services between Member States.

What are the strengths and weaknesses of military alliances?

Advantage include: Pooled resources. Other Locations and Bases of Operations. Disadvantages include: Rescue an ally. Disagreements about behavior.

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Which agencies were moved into the Department of Homeland Security after it was created in 2001?

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The Nsa was moved from of the Department of treasury to the brand-new Homeland Security Administration on March 1, 2003.

What is security's primary goal?

Protecting individuals and their possessions is the most important goal of security. This pertains to both their property and their bodily safety. Criminals will find it challenging to target an individual or a location with effective security measures in place.

What occurs during security?

An eleven-year-old girl who has been pursued by a gang for taking part as a trial testimony is shielded by a security guard. In need of work and down on his luck, an ex-special operations soldier (Antonio Banderas) accepts a position as a watchman at a dilapidated mall in a sketchy part of town.

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Do judges always agree with the verdicts?

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Judges are very reluctant to overturn a jury verdict. Jury verdicts are statements of the community. Therefore they are given great respect. Furthermore in a criminal case, a judge cannot overturn a verdict of not guilty as that would violate a defendant's 5th amendment right.

which of the following statements about the pendleton act is true? responses it made it easier to fire government employees. it made it easier to fire government employees. it was also known as the spoils system. it was also known as the spoils system. it provided stiffer penalties for shooting presidents. it provided stiffer penalties for shooting presidents. it provided for civil service reform. it provided for civil service reform.

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Option (d), The claims made about the Pendleton Act being valid, it provided for civil service reform.

What impact did the Pendleton Act have on the federal workforce?

The Pendleton Act mandates that posts in the federal government only go to those who are qualified, and that candidates must successfully complete selection processes. Political concerns could not be used as an excuse to fire or demote employees who were covered by the legislation.

The Pendleton Civil Service Act was approved by President Chester A. Arthur on January 16, 1883. (1) Everyone's right to apply for government jobs without being given any favor based on their political opinions, race, religion, or place of origin was protected by the legislation.

How effective was the Pendleton Civil Service Act?

George H. Pendleton, a Democrat from Ohio, proposed legislation in 1880 that would have required civil employees to be picked based on their merit as determined by an examination, but it was rejected.

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2. Explain what civil liberties are and whom they applied to in the founding of the U.S. and how they have evolved over time.

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The civil liberties means the right grant to people. These liberties applied to the Citizen during the founding of the U.S. The founders believed that containing the government's power and protecting citizen liberty was their most important task.

What is the Origin of Civil Liberties?

Generally, the civil liberties refers to the rights guaranteed to the people by the Constitution and by court-made law or legislation. These liberties allow the citizen to speak out freely against government, express opinions, organize protests and practice or not practice religion in whatever way we choose.

In conclusion, these liberty liberties are included in the Bill of Rights, the first 10 amendments to the United States Constitution.

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economists generally agree that question 27 options: human capital theory provides the best explanation of discriminatory practices. differences in average wages do not by themselves provide conclusive evidence about the magnitude of discrimination in labor markets. discrimination is exclusively an economic, rather than political, phenomenon. most of the wage differentials observed in the u.s. economy are due to discrimination.

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Economists often agree about the general effects of tax policy. For example, they agree that people respond to incentives, taxes can change incentives, and therefore taxes can change behavior.

An economist is a professional and practitioner in the social science discipline of economics. The individual may also study, develop, and apply theories and concepts from economics and write about economic policy.

Within this field there are many sub-fields, ranging from the broad philosophical theories to the focused study of minutiae within specific markets, macroeconomic analysis, microeconomic analysis or financial statement analysis, involving analytical methods and tools such as econometrics, statistics, economics computational models, financial economics, mathematical finance and mathematical economics.

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in the United States, national elections occur on fixed dates, with presidential elections occurring every four years, congressional elections every two years, and both occurring on ____.

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In the United States, national elections occur on fixed dates, with presidential elections occurring every four years, congressional elections every two years, and both occurring on the first Tuesday of November.

The election of the president and the vice president of the United States is an indirect election in which citizens of the United States who are registered to vote in one of the fifty U.S. states or in Washington, D.C., cast ballots not directly for those offices, but instead for members of the Electoral College.

These electors then cast direct votes, known as electoral votes, for president, and for vice president. The candidate who receives an absolute majority of electoral votes (at least 270 out of 538, since the Twenty-Third Amendment granted voting rights to citizens of D.C.) is then elected to that office.

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Who provides implementation guidance?

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Answer:

13526 and further defines what the Executive Branch agencies must do to comply with E.O. requirements. The Undersecretary of Defense for Intelligence, or USD(I), provides implementation guidance for the Information Security Program within the DoD.

Explanation:

What are the three key elements of a campaign strategy?

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The goals, target audience, and key messaging make up the three main parts of a marketing plan.

What is one of a campaign's most crucial components?A business can stay on track and focused by setting SMART (specific, measurable, attainable, reasonable, and time-bound) goals, which also serve to show the total effectiveness of any marketing activity. The key to a successful campaign is having measurable goals and clear understanding of its purpose. However, your company can effectively utilize its current resources by focusing on three vital campaign elements—campaign objectives, audience, and key messaging.The goals, target audience, and key messaging make up the three main parts of a marketing plan.

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Where does Hamlet Act 2 Scene 1 take place?

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Scene 1: Polonius summons his astute servant Reynaldo and orders him to spy on Laertes in Paris. Hamlet orders the servant to track down any Danes in Paris and question them about Laertes'.

Whereabouts and reputation. Reynaldo sends his servant Reynaldo to France with money and written notes for Laertes, as well as instructions to inquire about and spy on Hamlet' personal life. He gives him specific instructions on how to conduct his investigations and then sends him on his way. "A room in Polonius' house," from Act 2, Scene 1 of Shakespeare's Hamlet, is an example of the setting.

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What are the 3 rising actions?

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Climax, Falling action, and Denouement are the 3 rising actions in the provided statement.

How does action rise and fall?

One (or even more) characters are in a crisis in the rising action. (It starts with the motivating factor and concludes with the climax.) Falling Action: the character's crisis is resolved. (The subsequent actions that bring the story to a finish.)

What does short story increasing action mean?

Increasing action After the expositional phase, the increasing action starts and ends at the finale. Rising action makes up the majority of the plot, starting with the inciting occurrence. It is made up of a sequence of incidents that intensify the conflict and heighten the suspense, bringing the story to a thrilling conclusion.

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Because Congress and the president often deliberately pass vague and ambiguous laws, bureaucracies must then give practical meaning to these symbolic measures by ____.

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Congress and the president often deliberately pass vague and ambiguous laws, bureaucracies must then give practical meaning to these symbolic measures by budget allowances.

How might Congress or the president consider the administration capable?

By holding hearings, making appointments, and determining allowances for the budget, Congress and the president directly supervise the bureaucracy. By voting and making use of the Freedom of Information Act (FOIA), citizens exercise their oversight powers.

Which methods does Congress employ to manage the bureaucracy?

Bureaucratic behavior is monitored by Congress through public hearings. By rewriting legislation and altering appropriations to provide those who are responsible for implementing its policies with greater direction, Congress can also control the bureaucracy in certain circumstances.

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What is the main function of the Speaker in the House of Representatives?

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As the House's presiding authority, the Speaker is tasked with a wide range of legal and procedural obligations.

What are the speaker's obligations and roles?

The Speaker must preside over the House of Representatives and possesses all of the presiding officer's authority and responsibilities. The Speaker is required to maintain decorum and order. If there is disruptive behavior or another disturbance, the Speaker may direct that the lobby or galleries be cleared.

What should the speaker concentrate on and why?

The audience should be the speaker's primary concern while they write, practice, and deliver their speech. If the speaker does her job successfully, the audience will pay attention to the topic where it belongs.

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Why is pathos the strongest appeal?

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Readers may feel anything, from sadness to rage, when pathos is used. These appeals are very successful at engaging the audience and adding a sympathetic and personal touch to the message.

What is Pathos ?Invoking feelings that already exist in the audience, pathos appeals to their emotions and ideas. The term "pathos" is most frequently employed in rhetoric, along with in literature, film, and other narrative arts.Readers may feel anything, from sadness to rage, when pathos is used. These appeals are very successful at engaging the audience and adding a sympathetic and personal touch to the message.Although using an audience's emotions to persuade them can be effective, doing so exclusively carries risks. For example, you could wind up with a weak argument that isn't backed up by logic or credibility.Pathos in a message can also be strengthened by the use of kairos, which is selecting the proper timing and tone for your remarks.

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in order to claim the eic, the taxpayer, spouse and children must all have a social security number. form from the social security administration is filed to obtain a ssn.

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Everyone you claim on your taxes must have a valid Social Security number (SSN) in order to be eligible for the EITC. The SSN must be in order to be valid.

acceptable for employmentSent in advance of the deadline for the tax return you intend to file (including extensions)

Is the SSN of each partner required for EIC?

The prerequisites for your client's taxpayer identification number have not altered; they still call for them to acquire either an SSN or an individual taxpayer identity number (ITIN) before the return is due (including extensions).

For the purpose of claiming earned income credit, is a Social Security number necessary?

For you to be eligible for the EITC, each person you claim on your taxes needs to have a working Social Security number (SSN). To be legitimate, the SSN must be. capable of obtaining a job mailed prior to the due date for the tax return you intend to file (including extensions).

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Why inheritance is called as is a relationship?

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An inheritance relationship is the connection between a general class and its specialisations. The generic class's features can be shared or inherited by the specialized classes thanks to the inheritance process.

What is  Inheritance relationship?Reusability, Changeability, and Extensibility – Clients cannot write code in terms of a supertype reference and replace the supertype reference with objects of desired subtypes as needed when a supertype and its subtype do not have an IS-A relationship. Because of this, it is challenging to use the hierarchy in a different context or to incorporate updates or improvements without affecting the client code. Therefore, the hierarchy's extensibility, changeability, and reuse are all impacted by this broken substitutability.Reliability: Clients are exposed to unpleasant or unexpected behaviour when they attempt to assign objects of the subtype to supertype references without realising that the supertype and the subtype do not have an IS-A relationship. For instance, when calling a method that is refused by the server, the client code can get an exception.

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What are the 5 hazard forms?

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The 5 forms of hazards are safety, chemical, biological, physical and ergonomic hazards.

The Occupational Safety and Health Act's General Duty Clause requires employers to provide a workplace free from recognized hazards that may result in death or serious injury to their employees. As such, eliminating and preventing workplace hazards is not only necessary for employee safety, but it is also your legal obligation. Any form of material, condition, or object that could hurt employees is considered a safety hazard. Acids, insecticides, carbon monoxide, volatile liquids, welding fumes, silica dust, and fiberglass fibers are examples of chemical hazards. Biological risks like blood, fungi, mold, viruses, and animal droppings can be exposed to by workers who interact with other people, animals, or infectious materials.

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Why did the women's Christian temperance Union support women's suffrage?

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The Woman's Christian Temperance Union (WCTU) supported the women's suffrage movement as in 1880s in part because they thought that most women would vote to outlaw alcoholic beverages completely.

The WCTU's perspective on women's suffrage

The WCTU helped legitimize the movement by putting less emphasis on the more radical notion of gender equality and more emphasis on ensuring women's participation in politics as the guardians of the home.

The WCTU wanted to outlaw alcohol, but why?

The WCTU advocated for the legislative banning among all alcoholic beverages because they believed that alcohol addiction was the root of immorality, sickness, sex work, poverty, aggression towards women & children, and unemployment.

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What are the 3 main responsibilities of each US Ambassador?

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In addition to other duties, ambassadors are in charge of running the embassy's operations and ensuring the safety of their state's residents living in the host country. They also work to establish and maintain solid diplomatic and economic ties with other countries.

What do you mean by US Ambassador?

The president designates individuals to represent the United States diplomatically in foreign countries, international organizations, and as ambassadors-at-large. You can address an ambassador as Mr., Mrs., or Ambassador Jones. One should only use the first name of an ambassador on a special invitation or after a lengthy acquaintance, and then only out of the spotlight.

Why are ambassadors called His Excellency and how long do ambassadors serve?

Those addressed as Excellency include royalty, heads of state other than kings and queens, heads of government, governors, ambassadors, ecclesiastics like Catholic bishops and nuncios, and others with equivalent rank (like the heads of international organizations or high commissioners in the Commonwealth of Nations).

Career foreign service officers typically hold ambassadorships for three years, whereas political appointees typically

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What are administrative sanctions as a method of enforcement?

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Administrative sanctions are Disciplinary action, termination of classification eligibility, suspension without pay, deprivation of pay, recall or termination, shall be imposed on all persons.

Part IIIC of the Central Bank Act of 1942 (Amendment) empowers central banks to impose sanctions for the commission of prescribed violations by regulated financial service providers and persons currently or previously affected by their control. I am giving Has been involved in a prescribed breach of a regulated financial service provider.

Concerns that a given violation has occurred or may have occurred arise in the normal course of business of an inspection department or as a result of an on-site inspection at a company or a thematic inspection in a particular area. . If concerns are confirmed, the central bank may launch an investigation. There are many possible outcomes after investigation, and decisions about appropriate outcomes are made on a case-by-case basis.

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What document provides basic guidance and regulatory requirements for derivative classification?

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There are two main sources of policy guidelines for classifying derivatives. The DOD Information Security Program provides basic guidance and regulatory requirements for the DOD Information Security Program.

Please note that the following documents provide basic guidance and regulatory requirements on the classification of derivatives for Department of Defense personnel:

DoDM 5200.01

DoD Information Security Program

According to your question, we will be discussing a document that provides basic guidance and regulatory requirements on the classification of derivatives.

As a result, it turns out that the best document for this is his DoDM 5200.01. This is because it contains basic guidelines and regulatory requirements related to DoD personnel.

DoDM 5200.01 therefore serves as a document that provides basic guidance and regulatory requirements for the classification of derivatives.

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What are the 3 different types of persuasive rhetorical appeals?

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Answer:

appealing to your own character, appealing to logic, and appealing to emotions.

Explanation:

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an airline company group of answer choices cannot price discriminate because it is against the law. has fewer customers because it price discriminates than it would have if it did not price discriminate. price discriminates even though its profits are lower because competition forces it to do so. price discriminates by charging lower prices to business travelers. price discriminates by charging higher prices to business travelers.

Answers

Answer:Second-degree price discrimination occurs when a seller charges a different price for different quantities consumed. Examples of this are loyalty cards rewards or discounts for consumers, so that they can purchase more.As figure 2 illustrates, firms initially put the price of a particular good or service at P1. The discounted price is P2. Consumers benefit from the lower price and that increases their consumer surplus and firms also benefit from the extra revenue.Third-degree price discrimination occurs when a seller charges a different price to different customer groups. A classic example is some cinemas that often have different prices for children, students, adults, and the elderly.

Figure 3 illustrates third-degree price discrimination. The whole market is split into two categories: elastic and inelastic consumers. Firms charge elastic consumers the lowest price. For example, cinemas charge students a lower price since they have less disposable income and are more sensitive to price changes. Inelastic consumers are charged the highest price. In our cinema example, adults tend to be charged the highest price as they have more disposable income and are less sensitive to price changes compared to other groups.

Explanation:How far the travel date is: a ticket that is bought in advance is usually cheaper compared to a ticket bought at the last minute.

Travel peak times: travelling during the weekends tends to be more expensive than travelling during weekdays. Travelling during the summer or Easter holidays also tends to be more expensive.

Unsocial hours: travelling during the early mornings and late nights is cheaper, as fewer people tend to travel at those times.

Extras: customers usually have to pay more for seats (in the same class) with more legroom to for check-in luggage.

What becomes of the right-handed twin in world on the turtle's back?

Answers

The people observe rituals honoring the right-handed twin during the day. They express gratitude to the Master of Life during the daily rituals.

What does the right handed twin represent?

Western wind What do the arrows with points and without points stand for? twins The mother is buried after the right handed twin accuses the left handed twin of the mother's passing and the left handed twin is born out of the armpit.

What animals did the right handed twin create?

The Right-Handed Twin, often known as the good twin, created excellent-looking plants and animals like the deer and squirrel. She also had a Left-Handed Twin who created plants like poison ivy and nasty creatures like the mountain lion. The natural equilibrium that exists now was created by the twins.

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What are the pros and cons of trade protectionism?

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Protectionists contend that restricting trade and favoring domestic producers will increase domestic employment and boost the economy.

What benefits and drawbacks does trade protectionism offer?

Benefits of trade protectionism include the potential for an improved trade balance and the protection of domestically produced emerging industries. Constraints include a lack of consumer choice and economic inefficiencies. Another worry for governments is retaliation from other nations.

What benefits does protectionism offer?

A protectionist trade policy enables a country's government to promote domestic producers and thereby boost domestic production of goods and services by adopting tariffs or other trade restrictions.

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What happened because of the Patriot Act?

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Because of the Patriot Act, crimes involving chemical weapons, the use of WMDs, killing Americans abroad, and funding of terrorism.

What three things did the Patriot Act allow?

Enabling the use of wiretapping & monitoring by law enforcement to look into offenses related to terrorism. enabling law enforcement officials to apply to a judge seeking authorization to employ roving wiretaps to find a particular terrorist suspect. enabling delayed notice search warrants to keep terrorists from finding out they are suspects.

What does the Patriot Act protect?

Searches using "Sneak & Peek" The Patriot Act fundamentally alters Fourth Amendment privacy rights and arrest warrants by allowing federal police agencies to postpone giving notice whenever conducting covert searches of Americans' homes and workplaces.

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When was the voting age reduced from 21 to 20?

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Answer:

2019

Explanation:

Why did Gideon take his case to the Supreme Court?

Answers

Gideon petitioned the Georgia Supreme Court for a habeas corpus writ in order to challenge his conviction. Gideon contested his guilt and punishment in his petition.

What did Gideon's lawyer argue?

Gideon claimed that Florida broke the Fourteenth Amendment of the constitution guarantee of due process by refusing to choose counsel to represent him. Certain protections afforded by the Bill of Rights were deemed to apply to states as well under the Fourteenth Amendment.

What is Gideon's law?

Defending the Indigent Against Criminal Charges. 1 November 1963 This U.S. Supreme Court ruled unanimously in Gideon v Wainwright on March 18, 1963, declaring that individuals charged with serious crimes have the right to legal representation at the state's expense if they are unable pay it.

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