Victor draws one side of equilateral APQR on the coordinate plane at points P(-9, -2) and Q (-2,-2). What are the two possible coordinates of vertex R? Round to the nearest tenth.​

Answers

Answer 1

Answer:

The possible coordinates for R are contained in the following expression:

[tex]R(x,y) = (-5.5, -2\pm 6.1)[/tex]

Explanation:

From statement we notice that line segment PQ is parallel to x-axis and by Geometry we know that an equilateral triangles have three side with equal length and three angles of 60°. In consequence, the height of the triangle is parallel to the y-axis and the possible coordinates for point R are contained in this equation:

[tex]R(x,y) = (x_{M,PQ}, y_{M,PQ} \pm l_{PQ}\cdot \sin 60^{\circ})[/tex] (1)

Where:

[tex]x_{M, PQ}[/tex], [tex]y_{M,PQ}[/tex] - Coordinates of the midpoint of the line segment PQ.

[tex]l_{PQ}[/tex] - Side length of the line segment PQ.

The length of the line segment PQ is determined by the Pythagorean Theorem:

[tex]l_{PQ} = \sqrt{(x_{Q}-x_{P})^{2}+(y_{Q}-y_{P})^{2}}[/tex] (2)

If we know that [tex]P(x,y) = (-9, -2)[/tex] and [tex]Q(x,y) = (-2, -2)[/tex], then the length of the line segment PQ is:

[tex]l_{PQ} = \sqrt{[-2-(-9)]^{2}+[(-2)-(-2)]^{2}}[/tex]

[tex]l_{PQ} = 7[/tex]

And the coordinates of the midpoint are, respectively:

[tex]M(x,y) = \frac{1}{2}\cdot (-9, -2) + \frac{1}{2}\cdot (-2, -2)[/tex]

[tex]M(x,y) = \frac{1}{2}\cdot (-11, -4)[/tex]

[tex]M(x,y) = \left(-\frac{11}{2}, -2 \right)[/tex]

Lastly, the possible coordinates of vertex R are, respectively:

[tex]R(x,y) = \left( -\frac{11}{2},-2\pm 7\cdot \sin 60^{\circ} \right)[/tex]

[tex]R(x,y) = (-5.5, -2\pm 6.1)[/tex]


Related Questions

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newsela article- PRO/CON: Should all high schoolers take courses in personal finance?

Question is - Summarize the central idea of either the PRO or the CON article in a few lines. What claims made by the author of the chosen article are not supported by evidence? Give two-three examples from the text to better illustrate your point.

Answers

Answer:

the answer is

Explanation:

deeze

The pros of taking personal finance for high schoolers is more than the cons of it. Many people believe that all high school students should take courses in personal finance. It is an important life skill that everyone needs to know regardless of their future career path.

What is personal finance?

Personal finance refers to the management of an individual's financial resources, such as income, expenses, savings, investments, and debt.

It involves making informed decisions about how to allocate these resources in order to achieve financial goals and to maintain financial stability and security.

The pros of taking personal finance for high schoolers is more than the cons of it as students need to learn how to manage their money, make informed decisions about saving and investing, and understand how credit and debt work.

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Look at the text below. If there is an error with subject-verb agreement, select the incorrect verb and type it correctly. Otherwise, submit the text without making any changes.
Each of the elephants at the Thai Elephant Conservation Center develop a bond with a
mahout a person who cares for the elephant.

Answers

Each of the elephants at the Thai Elephant Conservation Center develop a bond with a mahout a person who cares for the elephant.

The incorrect verb is "develop" which should be revised as develops

"Each of the elephants at the Thai Elephant Conservation Center develops a bond with a mahout a person who cares for the elephant".

What is the subject-verb agreement?

According to the rule of the subject-verb agreement if the subject of any sentence is written in a singular structure then the verb is also written in a similar format to the sentence.

Similarly to this, when a verb is employed in a sentence with a subject written in the plural, it must likewise follow a similar pattern; otherwise, an error will result.

In the given sentence"Each of the elephants at the Thai Elephant Conservation Center develops a bond with a mahout a person who cares for the elephant" The subject is plural so the verb "develop" should alos be plural.

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How Billie is spreading the message that everyone needs to take care of their emotions?

Answers

Billie Lilian is a depression harmful an

Bella's research question is "What habitats do blue whales thrive in, and which locations are not ideal for the various behaviors they tend to exhibit?" She is having trouble writing a short presentation about what she has found. How should she revise her research question?

Answers

This question is missing the answer choices. I was able to find them online. They are as follows:

A. She should make her research question more complex.

B. She should make her research question more concise.

C. She should broaden her research question.

D. She should narrow her research question to focus her topic.

Answer:

Bella should revise her research question in the following manner:

B. She should make her research question more concise.

Explanation:

A research question serves to guide the research. It is the question, issue, or problem the research aims to address or answer.

The problem with Bella's research question is that it is too complex. It has two parts, and the second part is a development of the first one. There is no reason for her to keep her question like this. She can simply make it more concise by editing out the second part of the question and using only the first one: "What habitats do blue whales thrive in?" This is the information her paper aims to answer. Knowing what locations are not ideal is just a consequence of knowing which locations are indeed ideal for whales to thrive in.

Answer:

B

Explanation:

got it correct

Why are you looking through the key hole?" I said. a. I asked you why are you looking through the key hole b. I asked him why he was looking through the key hole

Answers

Hello. You did not enter what you want to know with this question. however, from its context, it is possible to assume that you want to know which of the question options refers to a direct or indirect speech.

Therefore, I can tell you that if you are willing to show the above sentence within indirect speech, the letter B is your answer. On the other hand, if you want to present this sentence through a direct speech, the letter A is your answer.

Indirect speech happens when everything a character says is not presented to the reader by the character himself, but by the narrator. Even if this narrator is a character, you will only know what he said through the narration and not through a dialogue between him and another character. The direct speech, however, is presented to the reader through a dialogue, where the character is shown speaking the words he wants to someone.

Need help with this hunger games worksheet and fast, I’ll give Brainliest to whoever can help me

Answers

prim : her little sister, her whole world. she means everything to katniss and katniss would do anything for her. katniss feels like she’s the parental figure to prim as she takes care of her
mom : she is very protective over her mother as well. she is angry with her, but also feels for her. when her father died her mother became absent in her and prims lives, so this shaped katniss a lot into the protective person she is.
gale: her best friend. she feels like gale is the only one she can go to when she needs time alone. they go hunting together to get meat and trade with sellers in the town to get food and necessities for their family.
peeta: they grew a special bond during the games, and had to put on a show like they were too in love to kill each other. this made karniss protective as well.
overall, these people made katniss into the brave, protective person she is.

Why did Aimee get grounded on Easter Sunday (be
specific)?

Answers

I have no idea and please be specific Aimee who?

Choose the best definition of an illustration paragraph.
O A. A paragraph that supplies several different examples to support
the topic sentence
B. A paragraph that introduces a subject in the topic sentence and
1 gives an extended example in the supporting sentences
C. A paragraph that teaches you how to draw great illustrations
D. A paragraph that provides three illustrations to support the topic
sentence

Answers

Answer:

B) A paragraph that introduces a subject in the topic sentence and

gives an extended example in the supporting sentences

one written to illustrate a point with examples. It consists of a topic sentence followed by specific examples arranged in some order.

any tips for 9 grade?​

Answers

1. keep your gpa up!!
2. start apply for scholarships early!
3. talk to people and be yourself!!
4. make connections with teachers
5. join clubs!

please mark me as brainliest :)))

Answer:

make sure you do all your work, work hard, don't get caught up in drama

hope this helps

have a good day :)

Explanation:

in 35 words or fewer, do you feel the authors premises about gender roles are true for most people, or do you think they're sterotypes

Answers

It really depends on the book

What effect did the author most likely intend with the description behind them the line of woods gaped like a dark open mouth

Answers

Answer: The author describes the woods as “a dark open mouth" to foreshadow the way the family will meet their deaths and also suggestive of how the story will end.

Explanation: Flannery O'Connor's short story "A Good Man is Hard to Find" revolves around the story of a family's road trip that will lead to their deaths. And the tragic fate was a result of the grandmother's insistence that they go sightseeing, which led them to their car accident and discovery by prison escapee "The Misfit".

In describing the woods where they were stuck in as a "line of woods [that] gaped like a dark open mouth”, the author provides a foreboding of how the family will meet their fates. He personifies the woods as 'opening its mouth' and waiting to devour the family, suggestive of the imminent death of the whole family at the hands of The Misfit.

This description was the author's intention of predicting or foreshadowing the killings of the family members by The Misfit.

Hope it helped :p

To predict how the family would die and to hint at how the novel will conclude, the author refers to the woods as "a dark wide mouth."

What is a novel?

A novel is a lengthy piece of prose-based narrative fiction that is published as a book.

The novel, according to Margaret Doody, has "a continuous and thorough history of nearly two thousand years," with its roots in the Chivalric romance, the Italian Renaissance novella tradition, and the Ancient Greek and Roman novel.

A novel is a fictional narrative that presents a realistic portrayal of the situation of a society, according to some, like M. H. Abrams and Walter Scott, while a romance is any fictional narrative that highlights wonderful or unusual happenings.

The most frequent argument used to separate novels from historiography is their fictional nature. This criterion, however, can be troublesome.

During the early modern era, authors of historical accounts frequently incorporated innovations based on conventional ideas to amplify a piece of text or provide authority to an assertion.

For instructional purposes, historians would sometimes create and construct speeches. The social, political, and personal realities of a place and time can, nevertheless, be depicted in novels with a precision and detail that cannot be found in historical books.

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what is king trying to prove in his letter "letter to Birmingham"

Answers

Answer:

The letter served as a tangible, reproducible account of the long road to freedom in a movement that was largely centered around actions and spoken words.

Explanation:

Mark brainliest please!

He makes his goal of wanting to prove he does belong in Birmingham to create racial equality clear by stating, “injustice anywhere is a threat to justice anywhere”

Check this one

https://www.cram.com/essay/Analysis-Of-Martin-Luther-King-Jr-s/PCAJTFTR7RR

will give correct answer brainliest​

Answers

Answer:

“And jealous Oberon would have the child Knight of his train, to trace the forests wild.”

Explanation:

Shows he is jealous, I hope this is the correct answer. It does make sense to me.

All the world’s a stage,
And all the men and women merely players;
They have their exits and their entrances,
And one man in his time plays many parts,
His acts being seven stages.

Based on this excerpt, what is the main idea of this poem?

Answers

Answer:

The main idea of the poem is that the life is similar to a drama where every individual is playing a specific role.

Explanation:

In the sonnet "All the World's a Stage", Shakespeare presents a comparison between the functioning of the world and the lives of the human beings. He demonstrates the world to be a stage, where every individual plays a specific role. Every individual is born and has a specific time for death. This is compared with the entry and exit of the actors on the stage. The roles that the actor play in the drama is similar to the roles that an individual plays in his life.


Which sentence best reflects the author's subjective
perspective on the people of Japan?

Answers

The people of Japan are good-looking and well- mannered

Read the excerpt from The Life of a Polish Peasant. Every farmer had first to do his dues at the manor house, whether with his team or on foot. Only then could he work his own land, sowing and reaping at night. No excuse as to pressing needs at home was of any use. If one did not appear as ordered, at once the overseer would come. If he found the wife busy cooking he would throw a pail of water on the fire. On the basis of the excerpt, why would an overseer throw water on a fire

Answers

Answer: d)He disapproved of the peasants spending time on their own needs.

Explanation:

Here are the options given:

a)He wanted to help the peasants get their work done more quickly.

b)He thought the fire was a potential hazard to the manor.

c)He believed everyone should eat only at the manor house.

d)He disapproved of the peasants spending time on their own

An overseer will throw water on a fire in a situation whereby a farmer doesn't pay his dues at the manor house. There are no excuses why the dues shouldn't be paid.

Therefore, the correct option is "disapproved of the peasants spending time on their own needs".

Answer:

it's A

Explanation:

got it right on ede2020

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If you get answer correct you will get brainliest, 5 stars, and a thanks.

Match each excerpt from a media article to its purpose.

1. 15 year old Johnny Glozel became a hero when he save a toddler's life in Tradaisy Water Park. 3 year old Michele Diaz stepped into the swimming pool without her mother, who was talking with friends. Johnny, who was already in the pool, noticed the little girl and quickly acted to save her.


2. In the last few years, Crescent Bay Beach has become an overcrowded garbage dump because of its terrorism and a lack of care. Join the "Clean the Beach" campaign to restore the natural beauty of our beach.

3. It was Saturday night, and I was bored out of my mind. Suddenly, I heard a cackling laugh. I assumed my 90 year old neighbor, mrs. Gems, was watching reruns of her favorite sitcom. But to my surprise, there she was in front of my window - loading into the sky in a hot air balloon. I rubbed my eyes and wondered if being alone on a Saturday night was getting to me.

Options to match the paragraphs with:
A. To entertain
B. To persuade
C. To inform

Answers

Answer:

Johnny's story is to inform, while the Crescent Bay Beach story is to persuade.

Explanation:

Johnny's story gives information to people who are reading the article, and people would want to know what happens in the story. Crescent Bay is wanting people to come out and clean the beach, so they are running a campaign to raise awareness and to persuade people to do their part.

1. To inform the reader about an event

2. To persuade the reader to join the beach clean up

3. To entertain the reader

Read this excerpt from Narrative of the Life of Frederick Douglass -

I was probably between seven or eight years old when I left
Colonel Lloyd's plantation. I left it with joy. I shall never
forget the ecstasy with which I received the intelligence
that my old master (Anthony) had determined to let me go
to Baltimore, to live with Mr. Hugh Auld, brother to my old
master's son-in-law, Captain Thomas Auld. I received this
information about three days before my departure. They
were three of the happiest days I ever enjoyed. I spent the
most part of all these three days in the creek, washing off
the plantation scruff, and preparing myself for my
departure.

Which best explains how Douglass uses objectivity to convey his perspective
in this passage?

A. He creates pathos by explaining how happy he is to leave Colonel
Lloyd's plantation

B. He uses formal word choice, like 'departure,' to establish his
credibility

C. He incorporates the names of influential people who can verify his
story

D. He avoids sentimentality by choosing not to linger on his feelings
about leaving the plantation

Answers

This answer would be D

Helpmeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1. Where did you go to school?

2. When did she arrive?

3. Why did he eat so much?

4. What did they do yesterday?

5. Who did you meet at the party?

6. How did she come to work this morning?

7. Where did I leave my glasses?

8. When did he get home last night?

9. What did you do at the weekend?

10. Why did she get angry?

11. Who did they talk to earlier?

12. What did we do last Christmas?

13. Why did it rain on my birthday?

14. How did she finish so quickly?

15. Where did he go after the class last week?

Explanation:

For this activity, we must make questions in the simple past.

To do that, we simply need to use the auxiliary "did" right before the subject and after the Wh- word applied. For example, if I want to ask someone what movie they watched last night, I would use the question:

- What movie did you watch last night?

And that is it! There is no need to change the main verb like we would do in the affirmative form. The auxiliary "did" already shows that the question is in the past. Compare the sentences below:

Aff.: You went to the beach.

Int.: Where did you go?

1. Which quote best supports the idea that that Lucretia Matt and Elizabeth Cady Santon did not comply with the rules barring them from speaking at the World Anti - Slavery Convention ?

Answers

Hi. You did not submit the text or the quotes to which the question refers, which makes it impossible for this question to be answered. However, I will try to help you as best I can.

To answer this question you need to read the entire text and identify a moment when Lucretia Mott and Elizabeth Cady Stanton show a disobedience to the concepts defended by the World Anti - Slavery Convention, or you must identify a moment that shows a consequence of the disobedience on them. This moment will represent the quote you are looking for.

Getting a new business off the ground can be a challenge, but a teenager in regional South Australia is managing to not only run his own clothing label, but complete high school at the same time.
Last year at the age of 16 and while studying Year 11 at Renmark High School, Nathan Woodrow started his own clothing label, Ryde Clothing.
His target market was teenagers and young adults wanting to grab life with a passion.
Using the motto “stay stoked” (defined by Urban Dictionary as a state of limitless enthusiasm), Nathan drew his clothing designs around skating, surfing and riding.
These were his passions until he a knee injury sidelined him from sport and he ventured into the world of business to fill the void.
“I wanted something to motivate me throughout the year so I started Ryde Clothing,” Nathan said.
“I'm really interested in riding my motorbikes, mountain bikes and I do a lot of skating too [as well as] wake boarding, wake skating, that sort of stuff.
–“Teen Entrepreneur Rides Wave of Business Success with Own Clothing Label,”
Catherine Heuzenroeder

The author’s purpose for writing this article is to
The quotation from the article that most clearly states the author’s purpose is

Answers

Answer:

The author’s purpose for writing this article is to  

✔ inform about a teen business.  

The quotation from the article that most clearly states the author’s purpose is

✔ “Woodrow started his own clothing label.”

Explanation:

The article informs the viewer of a teenager who was able to successfully start a clothing business. The article is informative because it contains no emotional language or words. It contains nothing but verifiable facts and quotations, free of opinions. “Woodrow started his own clothing label” is a non-biased statement that is basically what the whole article is about.

Here's a photo of Edge just incase.

Document that absolved people from sin; originally granted in exchange for services or donations to the church

Answers

Answer:

Indulgences

Explanation:

In a simple way, we can say that the indulgences represented the sale of pardons that the early Catholic Church promoted. These indulgences were a type of document that absolved people from sin by paying or donating goods to the church, such as property and precious metals. This practice was carried out between the end of the Middle Ages and the beginning of the modern era and marks a time of religious abuse. Indulgences were one of the reasons that stimulated the Protestant reformation.

Which choice best describes a theme
of the call of the wild

Answers

Answer:

Could you provide the option choices?

Explanation:

Answer:

The Indispensable Struggle for Mastery

The Call of the Wild is a story of transformation in which the old Buck—the civilized, moral Buck—must adjust to the harsher realities of life in the frosty North, where survival is the only imperative.

A reader who makes the claim "We should stop the practice of tipping in the United States and instead pay workers a higher hourly wage" could state the counterargument that

O some people tip only because they feel guilty or awkward about having someone wait on them.

O Many servers say they would not like hourly pay because with tipping they can influence how much they make.

O in many other countries, service workers are typically paid a higher hourly rate than their American counterparts.

O dime might say that tipping is abusive in that it allows businesses to consistently underpay their workers.

Answers

Answer:

B

Explanation:

the second answer gives a direct contradiction to the original argument

Answer:

B on edge

Explanation:

edge 2021

The most dangerous game questions

3. Which of the following words best completes the sentence?
His disarming nature made us feel
a. uneasy
b. annoyed
C. comfortable
d. ignored
e. ugly

Answers

Answer:

c. comfortable

Explanation:

Disarming means removing or capable of removing hostility, suspicion, etc., as by being charming

So I think the answer is c. comfortable

Hope this helps!

Read this paragraph:
The dog refused to accept that the cat would not like himn.
Everyone loved him. His family, neighbors, strangers, they
all thought Fido was the sweetest, most loving dog of all
time. This cat, though, had a different idea. Each time Fido
would approach her, wagging his tail, Fifi would swipe her
paw across his nose, leaving a scratch. Despite his
wounds, Fido refused to gwe up.
Based on this paragraph, what character type can you assume Fido is?
A. Villain
B. Foil
C. Antagonist
< PREVIOUS

Answers

Answer:

Fido is the PROTAGONIST

Fido is a protagonist, he is the main character and a good guy in this story.

The opening of a text where the author introduces characters, time, and setting is called?
A. Dénouement
B. Climax
C. Exposition
D. Pathetic fallacy

Answers

Answer:

C

Explanation:

Exposition is an introduction to the characters, time, and the problem

President Reagan’s speech was mainly written to

Answers

President Reagan's speech was mainly written to persuade the audience

Hi you can help me pliss

Answers

Answer:

YES

Explanation:

BEC

Match each informational resource with its typical contents. dictionary encyclopedia thesaurus online search engine a collection of informative articles about a wide variety of topics from around the world arrowRight information stored in databases and on sites arrowRight definitions, pronunciation, and spelling of words arrowRight words with similar meaning listed together arrowRight

Answers

Answer:

1. Encyclopedia.

2. Online search engine.

3. Dictionary.

4. Thesaurus.

Explanation:

1. Encyclopedia: a collection of informative articles typically arranged in an alphabetical order about a wide variety of topics from around the world. It is also referred to as Encyclopedia Britannica and could either be in form of a book or an online (electronic) database.

2. Online search engine: information stored in databases and on sites. It's an internet resource or service that searches for keywords or categories specified by the end user and then displays (shows) a list of website which matches or have informations similar to the query. Some examples of popular search engines are Goo-gle, Bing, Yahoo, etc.

3. Dictionary: a book or electronic resource that comprises of definitions, pronunciation, and spelling of words that are often arranged in an alphabetical order. Also, it provides an example on the usage of a word.

4. Thesaurus: words with similar meaning listed together. It's simply a type of book that lists words having similar meanings (synonyms) together and words that have opposite meanings (antonyms). The word "thesaurus" was derived from Greek and it means treasure.

Answer: 1 encyclopedia    2 online search engine   3 dictionary   4 thesaurus

Explanation:

Other Questions
"Customer Service Call Centers Open in New Delhi" "Nike Expands Production in Indonesia" "Toyota Vehicles Assembled in Tennessee" *(which concept do these headlines reflect) A) nationalismB) globalizationC) colonialismD) extraterritoriality EXERCISE 22.31.Divide 250 in the ratio 3:22.Divide 144 in the ratio 1:23.Divide 10 kg in the ratio 2:34.Divide 1 hour in the ratio 5:75.Divide 8m in the ratio 3:136.Divide 45 km in the ratio 7:8.7.Divide 4 hours in the ratio 5:38 .Divide 2 kg in the ratio 3:79 .Divide 3 litres in the ratio 7:510.Divide 1 cm in the ratio 2:311.Divide 70 in the ratio 60% to 40%12.Divide 1 hour in the ratio 20% to 80%13 .Express the ratio 3:17 as percentages.14 .Express the ratio 9:31 as percentages. If you have a choice to earn simple interest on $10,000 for three years at 8% or annually compounded interest at 7% for three years which one will pay more and by how much approximately?a. Simple interest by $50.00b. Compound interest by $22.97c. Compound interest by $150.75d. Compound interest by $150.00e. None of the above. For people who have taken PreCalc/Calc: Find the constant a such that the function is continuous on the entire real line. (Summer Math Packet) help please! the question is in the picture below for reference when answering! thank you so much! The social class of France that faced the most discrimination and oppression was theA. 1st estateB. 2nd estateC. 3rd estate A study was conducted to determine whether there were significant differences between medical students admitted through special programs (such as retention incentive and guaranteed placement programs) and medical students admitted through the regular admissions criteria. It was found that the graduation rate was 92.4% for the medical students admitted through special programs. Be sure to enter at least 4 digits of accuracy for this problem!If 12 of the students from the special programs are randomly selected, find the probability that at least 11 of them graduated.prob =At least 4 digits!If 12 of the students from the special programs are randomly selected, find the probability that exactly 9 of them graduated.prob =At least 4 digits!Would it be unusual to randomly select 12 students from the special programs and get exactly 9 that graduate?no, it is not unusualyes, it is unusualIf 12 of the students from the special programs are randomly selected, find the probability that at most 9 of them graduated.prob =At least 4 digits!Would it be unusual to randomly select 12 students from the special programs and get at most 9 that graduate?yes, it is unusualno, it is not unusualWould it be unusual to randomly select 12 students from the special programs and get only 9 that graduate?no, it is not unusualyes, it is unusual Need help, please help me ASPA!!! tell this !!!!............ Can someone help me with this please? I will mark you brainliest what methods can you use to better support your inferences and interpretations of a text as a whole? how are these methods different for literary and informational texts Help me PLEASEEEEfind the the angles Alcohol is being heated on the stove and distillates at 172.4F . What is this temperature on the Celsius degree? Shannon was born on 12/21/1982. How many eight digit codes could she make using the digits in her birthday? 26/50 convert to a decimal Triangle A is reflected in the x-axis to give B.Triangle B is reflected in the y-axis to give C.Describe fully the single transformation that maps A onto C.PLZ HELP pleaseeee helppppppp Match the description with either a dehydration reaction or a hydrolysis reaction. 1. Water is used to split a compound into two parts. 2. Water is a product in this reaction. 3. Synthesis reaction 4. Decomposition reaction Estimate by rounding to nearest 100 5428 + 6378 = ? What is a counterargument?an argument that is in opposition to the writers thesisa statement of the writers positiona summary of the writers main pointsan assumption that connects the grounds to the claim