As a result of the battles of Trenton and Princeton,
France helped supply the British army.
Britain cut off New England from the other colonies.
more soldiers enlisted in the Continental army.
the morale of the Continental army suffered.

Answers

Answer 1

As a result of the battles of Trenton and Princeton during the American Revolution, more soldiers enlisted in the Continental Army.

What is American revolution?

American Revolution was an ideological and political revolution that happened in British America between 1765 and 1791.

The battles of Trenton and Princeton were two very important battles that occurred in New Jersey, USA during the late 1776 and early 1777, in which the Continental Army under George Washington, USA defeated professional Hessian and British forces.

Thus, during the Battle of Trenton on December 26, 1776, the forces under the command of Washington, USA defeated the Hessian troops, made up of German professional mercenaries/soldiers. In turn, on January 3, 1777, the same American forces defeated the British at Princeton, demonstrating to the American people that the Continental Army was competent and fierce in battle, in turn encouraging many more patriots to join the cause.

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Answer 2

Answer: C

Explanation: More soldiers enlisted.


Related Questions

Which was the greatest challenge for both American settlers and American Indians in the West in the mid-1800s?
the exposure to harsh weather
the threat of deadly diseases
the danger of crossing difficult terrain
the problem of fenced-off land

Answers

The threat of deadly disease and exposure to harsh weather

who is martin luther king jr?

Answers

Answer:

Martin Luther King Jr was a president

Explanation:

Martin Luther King Jr became president on January 10, 1957 up until April 4, 1968.

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Match the challenge experienced under the Articles of Confederation with the solution established with the Constitution


Column A

1.

The Nation was in debt after the Revolutionary War, but could not pay it off because Congress could not collect taxes.:

The Nation was in debt after the Revolutionary War, but could not pay it off because Congress could not collect taxes.

2.

State governments who were heavily in debt taxed products coming in from other states – this hurt trade, but Congress could do nothing to stop it.:

State governments who were heavily in debt taxed products coming in from other states – this hurt trade, but Congress could do nothing to stop it.

3.

Congress could pass laws, but it could not enforce them, because there was no one who had the power to do so.:

Congress could pass laws, but it could not enforce them, because there was no one who had the power to do so.

4.

Because of their bad experience with British monarch, the states did not want a single leader or group directing government policy – this meant that no one was really in charge.:

Because of their bad experience with British monarch, the states did not want a single leader or group directing government policy – this meant that no one was really in charge.

5.

No national court system existed to interpret the laws and make sure that they were fairly applied:

No national court system existed to interpret the laws and make sure that they were fairly applied

6.

Congress could not pass laws without approval from 9 out of the 13 states.:

Congress could not pass laws without approval from 9 out of the 13 states.

7.

The Articles could not be changed without the agreement of all 13 states.:

The Articles could not be changed without the agreement of all 13 states.

Column B

a.The bicameral (two-house) Congress of the House of Representatives and the Senate can pass laws with a majority (just over half) of the members voting.

b.The President is elected and given the role of national leader for directing government policy, though his power is not unlimited.

c.Congress is given the power to collect taxes

d.Article III of the Constitution creates a judicial branch consisting of a national court system to interpret the laws and see that they are fairly applied.

e.The new government is set up with a legislative branch to pass laws and an executive branch with the authority to enforce them.

f.Congress is given the power to regulate trade between states, though it agreed not to tax exports or interfere with the slave trade until 1808.

g.The Constitution can be amended (changed) with 2/3 of the members of Congress voting for it.

Answers

Matching the challenges experienced under the Articles of Confederation with the solutions established by the Constitution is as follows:

Column A                                            Column B

1. The Nation was in debt ...  c.Congress is given the power to collect ...

2. State governments hurt trade  f. Congress is given the power to

                                                          regulate  trade between states, ...

3. Congress could pass laws, but ...  e. The new government is set up                                                        

                                                       with legislative and executive branches.

4. Because of their bad experience   b. The President is elected and ...

with the British monarch,                   though his power is not unlimited

5. No national court system           d. Article III of the Constitution creates

                                                            a judicial branch ...

6. Congress could not pass laws without  a. The bicameral (two-house)

approval from 9 out of the 13 states.          Congress can pass laws with a

                                                                    majority of the members voting.

7. The Articles could not be changed     g. The Constitution can be

without the agreement of all 13 states     amended (changed) with 2/3

                                                               of the members of Congress voting  

Thus, the challenges experienced under the Articles of Confederation have been matched with the solutions established by the Constitution.

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Which work was influenced by Montesquieu?

U.S. Constitution

Gettysburg Address

Two Treatises of Government

the theory of universal gravitation

Answers

Answer:

The answer is U.S. Constitution.

What were the laws like before brown vs the board of education started

Answers

Answer:

Board of Education. The Court overturned Plessy v. Ferguson, and declared that racial segregation in public schools violated the Equal Protection clause of the 14th Amendment.

why did the homestead act prompt a lot of people to head westward? settlers could buy 160 acres of land for $10. settlers could buy 160 acres of land for $10. settlers were provided with a house and a horse. settlers were provided with a house and a horse. they heard there were many minerals there. they heard there were many minerals there. the government paid for the cost of moving.

Answers

Answer: Settlers could buy 160 acres of land for $10.

Explanation:

a monarchy is a type of government where a or a called a monarch, reigns over a kingdom or empire.

Answers

A monarchy is a type of government where a or a called a monarch, reigns over a kingdom or empire this statement is true.

A monarchy is both a form of government and a country that is governed by a monarch. A kingdom or an empire is ruled by a king, queen, or other monarch. In a constitutional monarchy, the monarch's power is limited by the constitution. But in an absolute monarchy, the ruler has unrestricted authority.

The throne is typically passed down to a monarch's child or other relative after the monarch passes away in hereditary systems of administration, which are well recognized in monarchies. A royal family, which functioned as the core of the royal household and court, was where the majority of kings and queens throughout history and today were born and reared.

Growing up in a royal family typically prepares young kings for their anticipated future duties as monarch (referred to as a dynasty when it lasts for multiple generations).

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what was the result of civil wars breaking out in countries such as honduras, nicaragua, guatemala, and el salvador in the 1970s? increased trade with other nations increased trade with other nations the deaths of many people the deaths of many people the rebirth of enslavement the rebirth of enslavement increased spread of famine

Answers

The result of civil wars breaking out in countries such as Honduras, Nicaragua, Guatemala, and El Salvador in the 1970s was increased trade with other nations the deaths of many people.

During the civil war in Honduras, about 200,000 people died. Around 75000 civilians perished in the war in El Salvador. Between 35 000 and 50, 000 persons perished in the civil war in Nicaragua.

A civil war is characterized as a conflict involving inhabitants of the same nation. The state and a group of citizens in the nation might be at war.

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Ghana is the first West African kingdom recorded by historians. How do they speculate it gained its power? the leadership of Mansa Musa its ability to make and use iron weapons its proximity to the Nile River by selling slaves

Answers

Ghana is the first West African kingdom recorded by historians. They speculate it gained its power through the leadership of Mansa Musa.

Mansa Musa was able to expand and preserve West Africa's Mali huge empire with the help of the skilled commander Saran Mandian and an army of some 100,000 troops, including an armored cavalry corps of 10,000 horses. Mansa Musa split his dominion into provinces, with a governor chosen by him personally to lead each one. More records were preserved and forwarded to the centralized government offices at Niani, significantly enhancing the administration.

Trade taxes, the ownership of the copper and gold mines in Mali, and the collection of tribute from conquered tribes all contributed to the state's financial growth. As a result, Mansa Musa amassed enormous fortune and may have even been the richest individual in history. Serving as a trading hub for goods travelling over the caravan routes of the Sahara desert between the interior and southern coast of West Africa and North of Africa resulted in enormous wealth. In contrast to gold and ivory from the south, salt was a significant commodity traded from the north.

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If you decide to attend college to earn a four-year degree, what is the opportunity cost of this decision?

Answers

The opportunity cost of attending college, in essence, consists of the cost of tuition, any related expenses, as well as any lost money, experiences, and enjoyment as a result of your decision to do so.

What is meant by Opportunity Cost ?

Opportunity costs are the potential gains that a person, investor, or company forgoes by selecting one option over another. Opportunity costs are by nature invisible, thus it is simple to overlook them. Better choices can be made when a firm or individual is aware of the opportunities that might be lost by selecting one investment over another.

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Discuss what future changes (Amendments) to the Constitution in your opinion need to be made that will allow the United States of America to become more inclusive. Are amendments the only mechanism available to cause change to occur? What other ways can change occur?

Answers

In my opinion, in the future, an amendment could be implemented in which there is a set of laws that regulate the issue of immigration and guarantee the rights of immigrants.

What are amendments?

An amendment is a term that refers to a proposal to modify laws and bills. The best known amendments throughout the world are the amendments to the United States Constitution that constitute large legal documents that serve as regulations of special aspects of society.

What amendment should be made to the constitution?

Throughout recent history, immigrants have been a subject of debate in the United States, while a part of the population agrees with the acceptance of immigrants. Others prefer to return them to their original territories to prevent them from developing a life in the United States.

Due to the above, it is pertinent that the United States make an amendment to the Constitution in which it establishes solid regulations to accept the entry of immigrants into the country and guarantee them different rights so that they can develop a dignified life in their country.

Are amendments the only way to bring about change?

No, amendments are not the only mechanism to bring about changes in society. However, the changes made through amendments are more solid and have greater prestige in society because they are a document related to the constitution.

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I need help!!

23. What role did revenge play in American Indian beliefs about war?​

Answers

Answer:

I believe the answer is "a. Nationalism." ***I might be wrong.


Explanation:  Regarding any Indian conflict in the North American theater of the Seven Years War, the British and French were disputing over territory of the Ohio River Valley, thus showing how both countries were very greedy to obtain land for themselves and show off their prowess and superiority to each other. I feel like answer choices B and C just don't seem applicable, because the throes of the Seven Years War occurred in the midst of early imperialism, which is all about nationalism and not really about revenge, economics, or Indian conflict. Besides, this question is inaugurated with "like most wars," meaning that the answer choice must be common to wars such as World War II or the Mexican-American war. As any historian notices, nationalism is one of the most prevalent characteristics of any conflicts between multiple sovereign states.

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Answers

Answer: wth

Explanation: fsfs

"In all your [dealings] with the natives treat them in the most friendly & conciliatory manner which their own conduct will admit; allay all jealousies as to the object of your journey, satisfy them of it's innocence, make them acquainted with the position, extent, character, peaceable & commercial dispositions of the US of our wish to be neighborly, friendly & useful to them, & of our dispositions to a commercial intercourse with them, confer with them on the points most convenient as mutual emporiums, & the articles of most desireable interchange for them & us. if a few of their influential chiefs, within practicable distance, wish to visit us, arrange such a visit with them, & furnish them with authority to call on our officers, on their entering the US to have them conveyed to this place at the public expence. if any of them should wish to have some of their young people brought up with us, & taught such arts as may be useful to them, we will recieve, instruct & take care of them such a mission, whether of influential chiefs, or of young people, would give some security to your own party"


What was Jefferson's main goal regarding Native Americans in the Louisiana Territory?
O establish mutually beneficial relationships with Native Americans
O inform Native Americans that they are now US citizens
O inquire about the natural resources that can be available to the U
Oensure that the Corps of Discovery remains safe on their journey​

Answers

Jefferson's main goal regarding Native Americans in the Louisiana Territory is to establish mutually beneficial relationships with Native Americans.

The most significant influence Thomas Jefferson had on the Indian tribes of North America was during his time as President of the United States. He sought an Indian policy with two primary objectives. First, in order to ensure American security, Jefferson attempted to link Indian countries to the United States by treaties. These agreements were made with the intention of acquiring land, facilitating trade, and, most importantly, maintaining their allegiance to the United States rather than to European powers like England in Canada and Spain in areas like Florida, the Gulf Coast, and lands west of the Mississippi River.

Second, in order to further his plan for progressive "civilization," Jefferson made use of the networks that the treaties created. Although his Federalist forerunners had started this initiative, it was entirely in line with Jefferson's Enlightenment philosophy. Jefferson sought to further influence Native Americans to embrace European agricultural techniques, change to a sedentary lifestyle, and release hunting lands for more white settlement through treaties and commerce.

The stakes of the "civilization program" were elevated by the demand for land.

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3. Is there any evidence that the English forced the Indians to trade their grain?

Answers

Yes, they would decapitate the Native Americans who would not want to go by what the English wanted.

Ancient Rome Use the drop-down menus to complete these statements. Ancient Romans believed their city had been founded by The story of the city's origins was based on Rome's geographic advantages included its location on the Intro​

Answers

Answer:

Explanation:

1.) the twins romulus and remus 2.) a foundation myth 3.) tiber river

there's no question lol

Why was Otto the most effective ruler of Medieval Germany​

Answers

Otto the most effective ruler of Medieval Germany because he formed an alliance with the church to limit the power of the nobles.

Otto restrained the power of the nobles with the help of bishops and monks. He forged an alliance with the church to restrain the authority of the nobility, overcame the German Princes to increase his power, and then invaded Italy on the pope's behalf, earning him the title of "emperor" in return.

By putting down rebellious vassals and crushing the Hungarians, he strengthened the German Reich. He built a safe empire and sparked a cultural renaissance by using the church as a calming force.

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What are the requirements for House Representatives and Senate selection?

Answers

The requirement for the house of representative is for one to be 25 years of age and have been as citizen of the USA for a period of 7 years. The requirement for the senate is to be 30 years at least, to have been a citizen for 9 years and to have been resident in the state that you want to represent.

Who is a member of the senate?

This is the person that acts as a congress man in the United States of America. This person is one that is a part of the people that represents the legislative arm of the nation.

Such a person would be involved in the making of laws and the amendments of laws in  the nation.

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what was the movtivation for the stono rebellion in 1739

Answers

Answer: After the rebellion was put down, the colonists passed the Negro Act. The Negro Act proclaimed that: slaves could not grow their own crops, assemble, earn money, or learn to read. The Stono slave rebellion of 1739 was an early precursor to the many actions that black people would take to win freedom and equality in America.

Explanation:

how did Aguayo’s efforts solve the problem of french intrusion into East Texas?

Answers

La Bahía was the mission Aguayo establish near the ruins of the first French colony in Texas

The expedition increased the number of missions in Texas from two to ten, the number of presidios from one to four, the military force from fifty to 269 troops, and it established a Spanish claim to Texas that was so clear-cut that it was never again contested by France or the French in Louisiana. The main body of the expedition continued to East Texas while being accompanied by the friars who had been in San Antonio since the French invasion.

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Which best describes W. E. B. Du Bois's opinion of Booker T. Washington’s accommodationist approach?

Answers

Du boi believed that they shouldn’t have to climb the ranks to be respected or to earn a place in society

Choose all that apply: Why does the art
historian want us to change our
perspective (thoughts)of cavemen?
A. they painted on cave walls
B. they lived long ago
C.They might have had apprentices (helpers)
hold torches to brighten the cave walls to
help the painters see what they were painting
D.they must have used scaffolding (ladder
system) to paint the ceilings of the cave

Answers

In my opinion I think in c

The walking purchase of 1737 was the culmination of well-intentioned bargaining between colonists and natives. True or false?.

Answers

The walking purchase of 1737 was the culmination of well-intentioned

bargaining between colonists and natives was referred to as False

statement.

Explanation:

The Walking Purchase was an alleged 1737 agreement between the Penn family, the original proprietors of the Province of Pennsylvania during the colonial era, and the Lenape native Indians.

The Penn family and proprietors claimed an area of 1,200,000 acres (4,860 km2) along the northern reaches of the Delaware River at the northeastern boundary between the Province of Pennsylvania and

the West New Jersey area to the east of the Province of New Jersey and forced the Lenape to vacate it.

The Lenape's request for assistance from the Iroquois Indian tribe further north was turned down.

So the statement is False

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(A) Identify the constitutional clause that is common to both Gill v Whitford (2018) and Shaw v. Reno (1993).

(B) Based on the constitutional clause identified in part A, explain why the facts of Shaw v. Reno are different than Gill v Whitford.

(C) Describe an action that members of the public can do to impact future redistricting in their state.

Answers

The constitutional provision known as the Equal Protection Clause links the instances of Gill v. Whitford (2018) and Shaw v. Reno (1993).In the Gill v.

Whitford case, the motion to halt the district remapping process was granted. For the first time, the Supreme Court considered the lengthy history of gerrymandering in the United States in light of the first amendment's equal protection and freedom of association clauses.

The Voting Rights Act of 1965 led to increased Black participation in North Carolina despite their minority status, as evidenced by the Shaw v. Reno court decision. They argued that the equal protection principle was broken because districts were drawn based on race.

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Why would the u. S. Government be worried about french and spanish louisianans participating in american self-government?.

Answers

Some Americans were scared that Louisianians were not capable of

being Americans who govern themselves.

Why did Spain and France give up the Louisiana Territory?

For over a year, the cession of Louisiana was kept secret. France feared that Louisiana would be annexed by the British.

As a result, France attempted to anticipate any actions that Britain might take if it became known that Louisiana no longer had French protection before the Spanish could occupy and defend it.

During the territorial period, many French Louisianians only spoke French and frequently clashed with newly arrived Anglo-Americans.

Under American control of Louisiana, free people of color lost many rights.

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Briefly explain one important similarity between the goals of the spanish and the english.

Answers

The biggest similarity in the goals of the Spanish and the English were, as identified and claimed by prominent historians, was God, Gold and Glory, or the 3Gs of the European imperialists.

The Historians from long time had accepted that, the one of the most important motive behind the explorations of Europeans was the greed for  gold, to prove their spread their religious faiths and their ambitions of glory.

The Europeans started their explorations intensively as their trade affected on Constantinople in the period around 1400s, and continued till and after 1750, majorly.

The Europeans had successfully had established themselves the most influential and powerful nations during the period known as, The Early Modern Era.

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question how did rivers influence ancient civilizations such as those in egypt and mesopotamia? they defended people against attacks by other groups. they defended people against attacks by other groups. they provided water for people and their livestock. they provided water for people and their livestock. they allowed people to be roam, rather than settling in one place. they allowed people to be roam, rather than settling in one place. they prevented people from farming crops.

Answers

The rivers influence ancient civilizations such as those in Egypt and Mesopotamia by option(b) i.e, They provided water for people and their livestock.

The Old World's first civilizations are said to have originated in Mesopotamia, Ancient Egypt, the Indus Valley civilization, and Ancient China. The Caral-Supe or Norte Chico culture in coastal Peru and the Olmec civilization in Mexico are considered the cradles of civilization in the New World.

In essence, the world's rivers provide resources like water, food, and transportation for trade. Ancient rivers include the Nile in Egypt, the Tigris in Mesopotamia, the Yellow River in China, the Indus River in India, and others. These rivers offered a supply of drinking water and made the terrain conducive for farming, making them suitable places for ancient civilizations. Additionally, these waterways facilitate easy transportation of both people and commodities. It also makes it possible to go fishing and hunt animals that come to the water to drink. In conclusion, the primary function of rivers during early civilization was to supply people and their livestock with water.

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Who were the 2 groups who settles in present day
Turkey and Iran, leaving present day Russia?

Answers

Answer:

Rivalry persists between Russia and Turkey in their shared neighbourhood of the Black Sea and the South Caucasus. But Moscow-Ankara relations have warmed overall. Building on their wider rapprochement, the two powers can work together to tamp down flare-ups of regional conflicts.

Explanation:

Russia and Turkey have repaired relations that nearly collapsed after Turkish fighter jets shot down a Russian Su-24 warplane near the Syria-Turkey border in late 2015. Russia has since lifted most of the sanctions it had imposed on Turkey. The two countries coordinate in Syria, have relaunched energy projects and agreed to Turkey’s purchase of Russian S-400 missiles. But Russia-Turkey rivalry is still all too evident in regions sandwiched between the two countries – the Black Sea and South Caucasus. Moscow’s military build-up in Crimea and power projection across the Black Sea has increased Ankara’s reliance on the North Atlantic Treaty Organization (NATO) in that region even as Turkey’s relations with Western powers tank. Russia-Turkey competition in the Caucasus adds an extra layer of risk to hostility between Armenia and Azerbaijan.

What are some differences between Christianity and Judaism? (100 Points Will Mark Brainliest!!!)

Answers

Answer:

Christianity involves the belief of the Old and New Testament

Judaism only believes in the Old testament

Christianity believes that Jesus Christ is the messiah

Judaism believes that Moses was the messiah

Christians celebrate christmas and easter

Judaists celebrate hanukah

Answer:

there are inherent and fundimental difference between Buddhism and Christianity . one significant element being that while Christianity is at its core monotheistic and relies on a gif as creator. Buddhism is generally non theistic and rejects the notion of a creator god which provides divine values for the world.

Explanation:

hope this helps

What could Americans do in the late 1860's, as they debated plans for Reconstruction, to balance the demands of healing and justice?

Answers

The thing that Americans could do in the late 1860's, as they debated plans for Reconstruction, to balance the demands of healing and justice is to define new relationships between African Americans and whites.

What is Reconstruction?

Its main focus was on bringing the southern states back into full political participation in the Union, guaranteeing rights to former slaves and defining new relationships between African Americans and whites.

The Reconstruction era, which lasted from 1865 to 1877 after the American Civil War, saw the country struggle to decide how to treat African Americans legally and to reintegrate the seceded states into the Union.

Restoration of the Union, reform of southern society, and adoption of progressive laws promoting the rights of emancipated slaves were the three main goals of reconstruction. It should be noted that the black voters were not allowed to bite before this period due to cessation of federal intervention in southern issues.

Therefore, defining new relationships between African Americans and whites will have been helpful.

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Write a function called price_range that accepts a list of floating-point numbers representing prices as an argument and returns the the difference between the highest price and the lowest price. Do not use the built-in functions max or min in your solution. Assume that all prices are positive values and that none of them exceed 10,000. 0. the total weight of henry peter and david is 123.peterr is 15 kg hevier than david. david is 3kg lighter than henry find henrys weight GIVING BRAINIEST IF CORRECT!!!!Express in simplest radical form. I need help with number 1-2-3 Which algebraic expression is equivalent to the expression below?(4x + 12) + 9xA. (4x - 9x) + 12B. (4x + 12x) + 9C. (4x + 9x) + 12D. 25x Look at this image from Egypt. What is true about these people depicted in these statues Photo by Remih, distributed under a CC BY-SA 3.0 license.OA They are four different powerful pharaohs.OB.They are all the same pharaoh.OC. 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Where should the daycare be located? a patient with xeroderma pigmentosum is prone to developing multiple skin cancers starting in childhood. this occurs because of a mutation in a gene that codes for enzymes that help repair dna damage through the nucleotide excision repair (ner) pathways. how does ner differ from other repair mechanisms? in ner: the emotional distress that some mothers feel after giving birth creates a situation that may impact their parenting skills and their children's behavior later in life. the researchers of this study examined how this condition, called , affects problematic behaviors in children. How long would it take an airplane to travel 1350m if it started from rest and accelerated at a constant 3.00 m/s^2? use the sentence to answer the question. my friend is tall, whereas i am short. which kind of relationship is sophia using to make an analogy in this sentence? adams plumbing is a louisiana corporation having its registered office in winn parish. owner lives in adjacent lasalle parish and owns a camp in adjacent grant parish. 8000(1+i)^8 solve for i Read the two excerpts."Remembering to Never Forget: Dominican Republic's"Parsley Massacre" by Mark Memmott:Seventy-five years ago, thousands of Haitians weremurdered in the Dominican Republic by a brutal dictator. Itwas one of the 20th Century's least-remembered acts ofgenocide.As many as 20,000 people are thought to have been killedon orders given by Rafael Trujillo. But the "parsleymassacre" went mostly unnoticed outside Hispaniola. Eventhere, many Dominicans never knew about what happenedin early October 1937. They were kept in the dark byTrujillo's henchmen."A Genetics of Justice" by Julia Alvarez:During my early teen years in this country, I knew very littleabout what was actually going on in the Dominican Republic.Whenever la situacin on the island came up, my parentsspoke in hushed voices. In December 1960, four monthsafter our arrival, Time magazine reported the murder of thethree Mirabal sisters, who along with their husbands hadstarted the national underground Dominican Republic. Myparents confiscated the magazine. To our many questions. About what was going on, my mother always had the ready answer, en boca cerrada entran moscas. No flies fly into a closed mouth. later, I found out that this very sayinf had been scratched on the lintel on the enterance of the SIMs torture center at La Cuarenta. Which statement best compares how the two authorsaddress this topic?O Memmott writes well after the events occurred, whileAlvarez writes while the events are occurring.O Memmott tells about one event that occurred, whileAlvarez tells about the dictatorship as a whole.O Memmott gives an anecdote to tell about thedictatorship's cruelty, while Alvarez tells about her family.O Memmott presents facts about the dictatorshipobjectively, while Alvarez gives details about how itaffected people.20161:20 The measure of one angle is four times the measure of its supplement. Find the measure of each angle.