Consider the paragraph proof.

Given: D is the midpoint of AB, and E is the midpoint of AC.
Prove:DE = One-halfBC

On a coordinate plane, triangle A B C is cut by line segment D E. Point D is the midpoint of side A B and point E is the midpoint of side A C. Point A is at (2 b, 2 c), point E is at (a + b, c), point C is at (2 a, 0), point B is at (0, 0), and point D is at (b, c).

It is given that D is the midpoint of AB and E is the midpoint of AC. To prove that DE is half the length of BC, the distance formula, d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot, can be used to determine the lengths of the two segments. The length of BC can be determined with the equation BC = StartRoot (2 a minus 0) squared + (0 minus 0) squared EndRoot, which simplifies to 2a. The length of DE can be determined with the equation DE = StartRoot (a + b minus b) squared + (c minus c) squared EndRoot, which simplifies to ________. Therefore, BC is twice DE, and DE is half BC.

Which is the missing information in the proof?

a
4a
a2
4a2

Answers

Answer 1

In the case above, the  missing information in the proof is option A: a.

What is the midpoint about?

Note that in the question;

D = mid-point of AB

E = mid-point of AC.

To  find the missing information in given proof of DE is equal to half of BC:

The coordinates of A = (2b,2c)

The coordinates of D = (b,c)

The coordinates of E  = (a+b,c)

The coordinates of  B = (0,0)

The coordinates of  C = (2a,0)

Distance formula: [tex]\sqrt{(x₂ - x₁) + (y₂ - y₁)}[/tex]

Length of BC= units[tex]\sqrt{(2a ^2 + (0 - 0)^2} = 2a units[/tex]

So BC = 2a = DE

DE = 1/2 BC

Hence in the case above, the  missing information in the proof is option A: 4.

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Related Questions

Explain the symbolism in the following statement: “The hibiscus plant behind his head was still holding on, small but firm.”

Answers

We can actually deduce here that the symbolism in the statement: “The hibiscus plant behind his head was still holding on, small but firm" means that the fragile life still held on despite being small.

What is symbolism?

Symbolism actually refers to the literary device that actually makes use of symbols in order to represent something.

We see here that the hibiscus plant symbolizes a fragile life which survived though small.

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What's the difference between sponsorship and advertising mediums? use your own words.

Answers

Answer:

The difference is...

Explanation:

The difference between sponsorship and advertising mediums is this

Advertising Mediums

include,

Broadcast Advertising (TV, YT, Social Media) Digital Advertising (Social Media)Outdoor Advertising (If you go to the beach you can see planes and such with ads)Print Advertising (Posters, Magazine ads, Newspaper ads, etc.)

The most common of these being  TV and Social media ads.

Sponsorship's

include,

Getting endorsements from companies or peopleCharitable SponsorshipsUsed to build a social imageCredibilityBrand deals

The most common of these being likeable figures getting brand deals to showcase the product.

As you can see, the main difference comes down to down-to-earthness between the two and the differences with the advertising strategies, like AMs very corporate, meanwhile, sponsorships are similar, incorporate figures you may like to showcase it to you, making you feel more enticed to buy or look at the product at hand.

How does the author create an element of surprise in the passage?
Select the correct answer.

Answers

The way an author can create suspense in a story is by withholding important details

What is the Element of Surprise?

This refers to the use of literary elements in order to bring readers to a heightened state, where they are unsure of what will happen next and then they are unprepared for what will come.

Hence, we can see that based on the knowledge of writing, writers have embraced different ways to create surprise and the main method is by withholding important details and this should help you as your question is incomplete.

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Which language from the excerpt does Lincoln include to show he has popular support for his actions?

Answers

The language Lincoln includes to show that he has popular support for his actions is "The greatest honor, and most important fact of all, is the unanimous..."

What does Lincoln mean to say?

We are looking for the statement here that contains the language used by Lincoln to show that he has popular support for his actions. After taking a look at each answer choice, we can tell that option C is the best answer.

In the sentence, "The greatest honor, and most important fact of all, is the unanimous firmness of the common soldiers, and common sailors," Lincoln means that he has the support of all sailors and soldiers. That is implied by the word "unanimous," which indicates they are all siding with Lincoln's actions.

With the information above in mind, we can choose option C as the correct answer.

The complete question with the missing answer choices is the following:

Which language from the excerpt does Lincoln Include to show he has popular support for his actions?

One still remains-its successful maintenance against a formidable [Internal attempt to overthrow it.In this, the government's hour of trial, large numbers of those in the Army and Navy, who have been favored with the offices, have resigned...The greatest honor, and most important fact of all, is the unanimous firmness of the common soldiers, and common sailors.He desires to preserve the government, that it may be administered for all, as it was administered by the men who made it.

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Answer:

c

Explanation:

Write a debate against the topic coronavirus is a blessing in disguise ​

Answers

Answer:

Explanation:

Well, in theory, if a lot of people die, the dangerous hot climate could change into a more colder one, since every people on earth produces a lot of CO2, which is affecting a lot the Earth year over year.

For example, a human uses 7 liters per minute. 20% of these liters is oxygen. From this oxygen, 15% gets out when we exhale, but, 5% of the oxygen is used and converted to CO2. That means, 0.07 liters of co2 are converted by a human every minute. That's 36,792 liters of co2 per year, which is very huge, because this is just for 1 man every year. Think about 8 billions. That would be 294,336,000,000,000 liters of co2 produced by mankind, just converted by our organism. We also have to consider all of the other factor that produce heat though. For example factories and vulcanoes.  All the vulcanoes on the planet, produce a total of 6.4 million tons of co2.

The manking produce 294,336,000,000 meters cubed of co2. If we know the density of co2, we can calculate the amount of mass produce by us.

density of co2 = 1.98 kg/m3 aproximately

density = mass / volume

1.98 = mass / 294,336,000,000 meters cubed of co2

mass = 582,785,280,000 tons of CO2 produce by manking every year.

The co2 produce by vulcanes is equal to 6.400.000 tons of CO2.

If less people would've been on the planet, the less CO2 it would be.

The carbon dioxide creates the greenhouse effect, which makes all the heat of planet Earth unescapeable. The more co2, the more hotter the planet gets, which could mean an apocalypse. The sad part is that to really save the planet, is that people have to be less. That's the only advantage of corona virus.

Hope it helped!

Which sentence best describes Jin Wang's character arc in American Born Chinese? -------------------------------------------------
A. Jin Wang was once friends with the Monkey King but gradually starts to hate him.
B. Jin Wang has magical powers at his command, but he gives up his identity to gain them.
C. Jin Wang hates his Chinese heritage at first but eventually learns to accept who he is.
D. Jin Wang turns into Danny, but the Monkey King changes him back to his original form.

Answers

The sentence that best describes Jin Wang's character arc in American Born Chinese is that  Jin Wang hates his Chinese heritage at first but eventually learns to accept who he is.

Who was Jin Wang  in the story?

He was known to be a Chinese-American boy that was said to have been born in San Francisco.

He did moved to a new school and a lot of people always think that he has just arrived into the United States from China.

Jin Wang is known to have faced a lot of prejudice and misunderstanding in regards to his Chinese identity.

Therefore, option C is correct.

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The sentence that best describes Jin Wang's character arc in American Born Chinese is C. Jin Wang hates his Chinese heritage at first but eventually learns to accept who he is.

What is the conflict in the book?

This refers to the internal struggles that the main character, Jin Wang faces when he hates his heritage due to taunts from people in school.

Hence, we can see that due to his mixed race, he was the butt of jokes, until he stopped hating who he was and embraced his heritage and this best describes his character arc.

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Which of the following is an example of a metaphor?(
a. You're a monster, Mr. Grinch. Your heart's an empty hole.
b. It came without packages, boxes or bags!
c. Roast beast is a feast I can't stand in the least!

Answers

Answer:

a. You're a monster, Mr. Grinch. Your heart's an empty hole.

Explanation:

Metaphor is a figurative language that in rhetorical effect is used to mention another thing instead of the latter (the subject) It can either be a word or a phrase in a sentence used.

Therefore, from our sentence, monster and heart with an empty hole, depicts that it has a metaphor.

Think about all the evidence in Rogue Heart that supports the idea that the narrator is forming a strong bond with the shop owners and their daughter. Complete the left side of the chart with at least two pieces of textual evidence that support this idea. On the right side, explain how the textual evidence supports the idea.

Answers

The evidence in Rogue Heart that supports the idea that the narrator is forming a strong bond with the shop owners and their daughter is "after these two years, I've wedged my ways into their hearts

What is a central idea?

It should be noted that the central idea means the main idea that's expressed by the author.

In this case, the evidence in Rogue Heart that supports the idea that the narrator is forming a strong bond with the shop owners and their daughter is "after these two years, I've wedged my ways into their hearts

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What does ball mean by his statement? how does this statement relate to the purpose of the text

Answers

What is the statement you are referring to?

Based upon the information in act i of the tragedy of macbeth, what can you infer about king duncan? a. he is a weak leader. b. he is a shrewd military planner. c. he is reluctant to join his men in battle. d. he places a high value on bravery and loyalty.

Answers

D.) He places a high value on bravery and loyalty.

Tragedy of Macbeth:

Macbeth is the main character, he is a Scottish general for King Duncan. Three witches tell Macbeth he will become the king, and so he does by murdering Duncan and claims the throne.

The main theme of Macbeth —the destruction wrought when ambition goes unchecked by moral constraints—finds its most powerful expression in the play's two main characters. Macbeth is a courageous Scottish general who is not naturally inclined to commit evil deeds, yet he deeply desires power and advancement.

D.) He places a high value on bravery and loyalty.  is the correct answer of the problem.

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What role does racism play in Sweat?​

Answers

Answer: well i really don't know the answer sorry

Explanation: :(

which sentence describes the medium of a story
A. the fight between good and evil plays a role in the events of the plot.
B. by intentionally misspelling words, the writer tries to distract readers.
C. in the climax, the detective learns that she was after the wrong person.
D. the author often compares the sound of the cello to a human voice.

Answers

Answer:

B. by intentionally misspelling words, the writer tries to distract readers.

Explanation:

Not sure if its right due to not knowing the story/context, but I hope this helps! (,,>﹏<,,)

Can somebody help me with this question it’s timed..I’ll appreciate it thank you!

Answers

Answer:

them

Explanation:

It makes the most sense.

In what country is Siddhartha set?
O Germany
O Switzerland
O India
O England

Answers

Answer:

India

Explanation:

Truthfully, Siddhartha is set in Nepal, a country bordering that of India. But in this context, India would be the correct option.

what was the genre of the book : A long walk to water

Answers

Answer:

A Long Walk to Water is a short novel written by Linda Sue Park and published in 2010. It blends the true story of Salva Dut whose story is based in 1985, a part of the Dinka tribe and a Sudanese Lost Boy, and the fictional story of Nya whose story is based in 2008, a young village girl that was a part of the Nuer tribe. Park used this book as a platform to support Dut's organization, Water for South Sudan.

The genre of “A Long Walk To Water” is historical fiction.

Please help me answer!!

From: The scarlet letter
What is meant by the allusion "'Of a truth, friend, that matter remaineth a riddle; and the Daniel who shall expound it is yet a-wanting,' answered the townsman" (chapter 3)?

Answers

It is a biblical reference, alluding to Daniel who is a prophet in the Bible’s Old Testament. He has visions and interprets dreams.

Which statement is true about scientific communication?
A.Scientists don’t need to communicate with other scientists.
B. Scientists must be able to express their work to other scientists and to the general public.
C.Scientists communicate with other scientists but not with members of the public.

Answers

Answer:

Letter B: Scientist must be able to express their work to other scientists and to the general public.

Explanation:

Scientists talk with everyone about they're work. Everyone needs to know their work,not everytime but they do. Public can also tell them they're ideas.

which claim is supported by the evidence that the newspaper clubs improve communication skills and promote teamwork ?

Answers

Problem and solution, some things go bag and beds out good

Complete the sentences with words that are punctuated and spelled correctly.
Natasha was especially interested in
dinosaurs;
however, Jorge wanted to check out the huge collection of precious gems.

Natasha gazed into a replica of a cooking fire and began to imagine
sounds:
a crying baby, the persistent click of stone on stone involved in making scraping tools, and the thunderous cry of a mastodon.

Answers

Answer:

Explanation:

1. Natasha was especially interested in dinosaurs; however, Jorge wanted to check out the huge collection of precious gems.

You need to use a semicolon before however because you are connecting two independent clauses into one compound.

2. Natasha gazed into a replica of a cooking fire and began to imagine sounds: a crying baby, the persistent click of stone on stone involved in making scraping tools, and the thunderous cry of a mastodon.

You need to use a colon to indicate that a list will ensue.

4
The theme in the Odyssey most clearly evidenced by the suitors early in the reader's acquaintance with them in
the story is
O coming of age
desire for the good life
O temperance and restraint
O marriage and fidelity
O gods and humans
O leadership and decision-making
hospitality
temptation
O heroism

Answers

Answer:

im not sure

Explanation:

what do the points do

"a decent respect to the opinions of mankind requires that they should declare the cause which impel them to the separation."
how does the author appeal to ethos here?

Answers

We can see here the author appeal to ethos by showing his stance on the Declaration of Independence.

What is appeal to ethos?

Appeal to ethos refers to appeal to credibility. It's a rhetorical device which uses an author's position to establish credibility on a matter.

We see here that the speaker uses his position to reveal the respect he has.

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Read the passage from “The Caged Bird.”

A free bird leaps
on the back of the wind
and floats downstream
till the current ends
and dips his wing
in the orange sun rays
and dares to claim the sky

Which phrases representing the idea of freedom connect the poem to the autobiography?

“Leaps on the back of the wind” connects to “ran down the hill.”
“And floats downstream” connects to “and into the road.”
“Dips his wing in the orange sun” connects to “the good sense.”
“And dares to claim the sky” connects to “to stop running.

Answers

Answer:

“And dares to claim the sky” connects to “to stop running.

Read the short speech.
The author includes an allusion to allow readers to
Patriotism is often taught through school routines. Young
Americans may stand to say, 1 pledge allegiance to the
O recall a familiar text.
flag." They may attend special assemblies or programs
O consider famous veterans.
honoring veterans. Career studies may include
O think of armed service professions.
descriptions of armed service professions. Even the
O remember the fifty states and their capitals.
study of geography is an exercise in patriotism, as
students learn the names of states and capitals.

Answers

Allusion allows readers to remember a text they already know.

What allusion?It's a figure of speech.It's a reference.It is a reference to things or places known to the reader.

The allusion in the text can be seen in the expression "I pledge allegiance to the flag," which is a sentence present in the "Pledge of Allegiance," which is a text known to students. With this allusion, the reader has a reference to a text that he or she already knows and this makes the reading more pleasant and understandable.

The question above can be seen more harmoniously in the attached image.

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How can the theme of shifting attitudes, values and beliefs be seen in To Kill a Mockingbird?

Answers

The theme of shifting attitudes, values, and beliefs can be seen in To Kill a Mockingbird as Finch showed the Scout that it went only about beauty but about willpower, strength, and composure.

What is a theme?

It should be noted that a theme simply means the underlying message that's illustrated in the literary work.

In this case, the theme of shifting attitudes, values, and beliefs can be seen in To Kill a Mockingbird as Finch showed the Scout that it went only about beauty but about willpower, strength, and composure.

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Language is comprised of smaller units that can combine together to form larger units. For example, sounds combine to form words. Words combine to form phrases. Phrases to sentences and sentences to stories. This is known a

Answers

Language is comprised of smaller units that can combine together to form larger units. For example, sounds combine to form words. Words combine to form phrases. Phrases to sentences and sentences to stories. This is known a Syntax.

Syntax is the study of how words and morphemes combine to form larger units such as phrases and sentences. The central concerns of syntax include word order, grammatical relations, the hierarchical agreement of sentence structure, the nature of cross-linguistic variation, and the relationship between form and meaning. There are many approaches to syntax that differ in their main assumptions and goals.

Hence, the correct answer is Syntax.

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I need help writing an essay to enter a vo tech and these are the majors I chose. Please help.

-Culinary Arts
-Carpentry
-Auto Technology

Answers

Essay writing is given to students in order to test their writing, reading skills, and knowledge of a topic.

How to write an essay?

Culinary arts is the broad term for the preparation, cooking, presentation, and service of food.

Carpentry is the art of cutting, working, and joining timber. This is important for construction purpose.

Auto technology is the study of how vehicles move and how they're being repaired.

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Which of the following lines
from "True Stories of History
and Biography" uses a tone
that reveals Hawthorne's
attitude toward Isaac
Newton?
A. All that he had learned only made him
feel how little he knew in comparison to
what remained
B. Just as the destruction was completed
Newton opened the chamber door
C. There stood little Diamond, the author of
all the mischief

Answers

Answer:

A) All that he had learned only made him feel how little he knew in comparison to what remained.

Explanation:

Newton was a remarkably long-lived man who achieved great fame, was knighted by the monarch, and was elected to the House of Commons. The depth of his knowledge, however, did not fill him with any sense of pride, and he cared little for worldly glory and accolades. In light of what he had learned, he realized how much more there was to learn.

He said, "I seem to myself like a child playing on the beach and picking up a strange shell or pretty pebble here and there, while the vast ocean of Truth lies undiscovered before me."

All that he had learned only made him feel how little he knew in comparison to what remained, these lines from "True Stories of History and Biography" uses a tone that reveals Hawthorne's attitude toward Isaac Newton.

Who was Hawthorne's?

The dismal romantic novels and short stories of American author Nathaniel Hawthorne (born July 4, 1804, died May 19, 1864) are well-known. His works typically touch on history, religion, and morality.

His family had a lengthy history in Salem, Massachusetts, where he was born in 1804. In 1821, Hawthorne enrolled at Bowdoin College. In 1824, he was accepted into Phi Beta Kappa, and in 1825, he graduated.

His first book, Fanshawe, was out in 1828, but he later tried to bury it since he thought it wasn't up to the standard of his later novels.

He wrote several short stories for publications, which he eventually collected as Twice-Told Tales in 1837.

Who was Isaac Newton?

The most talented English mathematician of his day was Isaac Newton. For differential and integral calculus, he laid the groundwork. He is one of the best scientists the world has ever known thanks to his studies on optics and gravitation.

He also provided the groundwork for contemporary physical optics when he identified the phenomenon of white light combined with colors.

His well-known mechanics "three laws of motion" and the development of the gravitational "laws" fundamentally altered the course of physics all across the world. In mathematics, he was the creator of calculus.

He is regarded as a wonderful gift from nature to the field of physics.

Hence, option A is correct.

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If the story "The Lady, or the Tiger" had been written from the princess's perspective, with the princess as the narrator, which point of view would it have
1) first-person limited
2) first-person
3) second-person
4) third-person omniscient
5) third-person limited

Answers

Answer:

third-person omniscient 

Explanation:

The story is told in third-person omniscient point of view. This means that the narrator knows the thoughts and actions of all the characters.

Part E

What two examples of patterns and repetition do you see in the passage from Under the Mesquite? Go to the worksheet to annotate the examples. Then list those examples in the answer space and briefly describe them.

Answers

Under the Mesquite is a book on family bonds by Guadalupe Garcia McCall. Here, the words Senorita and senorita mean and the patterns of words and definitions are used repetitively.

What are patterns and repetition?

The complete question is attached to the image below.

Repetition is a literary device that includes the use of the same phrase and word over and over again multiple times in a passage. It is used to emphasize and make a clear idea of the author's intention of focusing on the idea.

In, Under the Mesquite, the words Senoritas and senoritas means are used repetitively over and over to show emphasize her character and thoughts. The passage uses the pattern of word repetition.

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How do the underlined words create meaning?

Answers

you must attach a picture, we can’t see the passage or underlined words
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