In an isosceles trapezoid, the lower base is 15, the upper base is 5, and each leg is 6. How far must each of the legs be extended to form a triangle?
Answers
Answer:
3 units
Explanation:
Let the side of the triangles to be extended be x. Both sides of the triangle are equal.
Applying similarly theorem of two similar triangles, the following proportion can be set up to solve for the value of x as shown below:
[tex] \frac{15}{5} = \frac{6 + x}{x} [/tex]
Cross multiply
[tex] 15 \times x = (6 + x) \times 5 [/tex]
[tex] 15x = 30 + 5x [/tex]
Subtract both sides by 5x
[tex] 15x - 5x = 30 [/tex]
[tex] 10x = 30 [/tex]
Divide both sides by 10
[tex] x = 3 [/tex]
Therefore, the legs must be extended 3 units more to form a triangle.
Each of the legs be extended by 3 to form a triangle
Using the theorem of two similar triangles, Assuming that sides of the triangle are equal, we can extend the side of the triangles with [tex]y[/tex]
We can create a proportion as;
[tex]\frac{ y }{ 6+y } = \frac{5}{15}[/tex]
Cross multiply, we have
[tex]30 =15y-5y[/tex]
[tex]30=10y[/tex]
[tex]y= \frac{30}{10}[/tex]
[tex]y=3[/tex]
Therefore, each of the legs be extended by 3 to form a triangle
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Related Questions
The study of syntax is important to understand language acquisition. Research and explain what the subject, verb, and object are, with some examples. Also explain what a phrase, clause, and sentence are, in brief, with examples of each. And list and briefly explain the parts of speech in English (nouns, adjectives [including articles and determiners], pronouns, lexical and auxiliary verbs, adverbs, prepositions, conjunctions, and interjections) and provide examples of each.
Answers
Answer:
The study of syntax is important to understand language acquisition. Research and explain what the subject, verb, and object are, with some examples are explained below in details.
Explanation:
The research of syntax is necessary to learn language achievement. analysis and describe what the subject, verb, and object are. also describe what an expression, phrase, and sentence are, in summary, with samples of each. and list and shortly describe parts of speech in English (pronouns, auxiliary adverbs, and lexical, verbs, conjunctions, prepositions, and interjections and provide examples of each.
Answer:
(Answers may vary)
Sentence: A sentence is a set of words that usually contains a subject and an object. The subject is basically the topic of the sentence, while the object is what is said about the subject. A verb is an action word. Any word that tells you about the action is a verb. Here are a few examples:
Johnny and Jimmy speak English while at work.
In this sentence, the subject is “Johnny and Jimmy,” the verb is “speak,” and the object is “English while at work.”
Sally and Anne walk to school every day.
In this sentence, the subject is “Sally and Anne,” the verb is “walk,” and the object is “to school every day.”
Clause: A clause is defined as a group of words containing a subject and an active verb. Here are a few examples:
because she smiled at her
In this clause, the subject is “she” and the verb is “smiled.”
I hate early mornings.
In this sentence, the subject is “I” and the verb is “hate.”
Phrase: A phrase, on the other hand, is a collection of words that may have nouns, etc., but does not have a subject and active verb. For example
leaving behind the dog
broken into millions of pieces
Parts of Speech
Noun: A noun can be described as a thing such as a person, name, place, or thing. For example, “Johnny,” “teacher,” “book,” “dog,” and “February” are all nouns.
Adjective: An adjective is a word that describes a noun. Words such as “pretty,” “tall,” “lovely,” and “happy” are all adjectives.
Determiners: Determiners are words such as “the,” “and,” “my,” “some,” “either,” “neither,” “much,” “many,” “most,” “mine,” and “his,” which usually come before noun phrases. An article is a determiner that uses a definite or indefinite form of word such as “a,” ”the,” and ”an.”
Pronoun: A pronoun is a word that replaces a noun or used instead of a noun. Words such as “he,” “she,” “I,” “him,” “hers,” “yours,” “this,” “that,” “who,” “what,” “myself,” “yourself,” “each other,” “one another,” “much,” “few,” and “whom” are all examples of pronouns.
Lexical and auxiliary verbs: A verb is an action word and is also known as a main verb and lexical verb. Words such as “work,” “love,” and “start” are all examples of lexical verbs. A word used with the main verb to indicate something such as action or tense is known as an auxiliary verb. Words such as “do,” “has,” and “can” are examples of auxiliary verbs.
Adverbs: A word that modifies a verb, adjective, or another adverb is known as an adverb. Words such as “quickly,” “really,” and “very” are examples of adverbs.
Prepositions: A preposition is a word that comes before a noun phrase and shows a relationship between the noun phrase and another element such as time, location, purpose, etc. Words such as “at,” “in,” “for,” “over,” and “under” are examples of prepositions.
Conjunction: A conjunction is a word that joins or connects two parts of a sentence such as “and” and “although.”
Interjections: An interjection is a word that expresses emotion but is of no grammatical value. Words such as “Hi!,” and “Ouch! are examples of interjections.
Explanation:
Plato
this image most directly illustrates which of the following features of the political development of medieval europe
Answers
Can dialogue in a memoir still be considered a part of narration mode since its technically answering the question of "what happend?"
Answers
Add on to what I wrote plz social❤️ And the best written one will get $17 and brainliest
Answers
After WWII, Soviet forces blocked food deliveries to parts of West Berlin, Germany in an attempt to starve them and cause the Allied governments to bend to their will. Instead, US and UK forces started air drops of food and supplies into West Berlin neighborhoods to help the people there. One pilot was especially keen on helping the kids. He became known as Uncle Wiggly Wings. He got his nickname because he would wiggle the airplane to signal the children that it was his plane. They then knew that an air drop of candy bars, each with their own parachute, would soon be falling from the plane. Why would it be useful to put parachutes on each candy bar being dropped from the plane?
Answers
Answer:
because people would grow more
Explanation:
Also candy dropped from the plan 100ML an hours so they would have a need for wealth and peace.
The following are helpful in managing your time:
A. Avoiding the telephone
B. Studying in a very comfortable place, such as your bed or a sofa
C. waiting time (bus stop, doctor's office, grocery store line) to review study
materials
D. Both a and c are correct
Answers
Effective time management enables you to do more tasks in less time, resulting in more time freedom, improved concentration, increased productivity, reduced stress, and more time to spend with the people who matter most to you. Thus option A, C is correct.
What managing time is helpful for someone?The practice of managing and planning how to split your time between various activities is known as time management. Simple time management benefits are available.
If you put it into practice properly, you'll discover that you work more productively and effectively to finish more jobs in less time, even when you're under strict deadlines and a lot of pressure. The most successful people have great time management skills.
Therefore, Because avoiding the phone allows you to prioritize your time, you will be better able to concentrate and put up more effort while waiting for something.
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Which of the following best describes the speaker in "To His Coy Mistress"?
O A. Meek and passive
B. Aggressive and persuasive
C. Casual, nonchalant, and uninterested
O D. There are two different speakers.
E. Fearful and depressed
Answers
Answer:
B. Aggressive and persuasive
Explanation:
The statement that best describes the speaker in "To His Coy Mistress" is aggressive and persuasive. The correct option is B.
What is "To His Coy Mistress" about?The English author and politician Andrew Marvell wrote the metaphysical poem "To His Coy Mistress" possibly during or right before the English Interregnum.
In 1681, it was published posthumously. This poem is regarded as one of Marvell's best and may be the most well-known carpe diem poetry ever written in English.
The irony of To His Coy Mistress is found in the passages where the poet essentially warns the mistress that they will be waiting until they pass away if they put off getting together as long as she would want.
He makes reference to the possibility that worms would steal her soul if she put off seeing him indefinitely.
The phrase "aggressive and persuasive" best sums up the speaker in "To His Coy Mistress."
Thus, the correct option is B.
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MARKING BRAINLIEST: QUESTION ABOUT DIALOGUE : Ok so i'm writing a memoir from the first time I smoked for my AP LANG class. I just need someone to tell me if my punctuation and dialogue are all good. If my dialogue isn't, could you tell me where I messed up and how to fix it?
(if some swear words look weird its cuz i had to change them so brainly would let me post this)
Dialogue:
Everyone was looking at me, waiting expectantly for me to smoke it. "Ayo imma have to pass on this one. I'm just not the smoker type," I said with a nervous laugh. "That's cap," one of the guys yelled across the circle. Josh looked at me with a sideways stare while all the guys began egging me to take just one hit. To my left, AJ, a kid I've only met a few times, started taunting me until I began to feel butterflies creep up again. "My guy, just take the hit. You got all these fine ahh females around, and you're making yourself look like a bussy every second you waste," he said. Tyler, another junior, chimed in and said, "Naw, he's just after Emma they've been practically on top of one another. Ain't that Jabreel?"
Answers
50 points!! Umm help fast plz
Basketball players!!!
What type of pass should a player use to avoid deflection if a defender is closely guarding them?
bounce
baseball
chest
overhead
Answers
Answer:
overhead
Explanation:
Answer:
Overhead
Explanation:
MARKING BRAINLIEST: IDENTIFY WHAT RHETORICAL DEVICES/MODES ARE IN THIS
(Please give me real answers Im in areal tough spot right now) (also if swear words seem weird its cuz brainly made me change them)
Several hours into my defiant journey of meeting with friends I haven't seen in months, I finally felt like my time had come to head back home and face the music. While heading up my driveway, something felt off. I grew even more anxious as I stood in front of my door. Taking a deep breath in, I was caught off guard by the presence of my dad swinging the door open. Silence. We looked at each other for several long, excruciating
seconds until he finally spoke. "Your mom and I have decided that since you think you are old enough to leave this house and come right back into our lives with absolutely no repercussions, then you can go sleep outside because I personally don't want to see your face right now." I looked at him, pleading with my eyes to give me this second chance, only to receive a stare so cold I started to feel a pit grow in my stomach. I realized this might be it. Because I had left the house without anyone's permission and yelled at my mom, I now have reached a point of no return. After my dad slammed the door behind me, I knew my mom would come to help me; she always has. There was no way she would leave me out here overnight and sleep on God knows what. I knew all I had to do was go to a friend's house and sleepover until the next day. But, for the first time in my life, with all this freedom I had, I felt lonely.
Answers
Answer:
higjriudvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvdvouuu
Explanation:
Topic: Importance and Impact of the scientific revolution
What are the main ideas? What do I know about this topic? (at least 7 descriptions)
*AP world history*
Answers
Answer: The scientific revolution was the emergence of modern science during the early modern period, when developments in mathematics, physics, astronomy, biology (including human anatomy), and chemistry transformed societal views about nature.
The change to the medieval idea of science occurred for four reasons: collaboration, the derivation of new experimental methods, the ability to build on the legacy of existing scientific philosophy, and institutions that enabled academic publishing.
Under the scientific method, which was defined and applied in the 17th century, natural and artificial circumstances were abandoned and a research tradition of systematic experimentation was slowly accepted throughout the scientific community.
During the scientific revolution, changing perceptions about the role of the scientist in respect to nature, and the value of experimental or observed evidence, led to a scientific methodology in which empiricism played a large, but not absolute, role.
As the scientific revolution was not marked by any single change, many new ideas contributed. Some of them were revolutions in their own fields.
Science came to play a leading role in Enlightenment discourse and thought. Many Enlightenment writers and thinkers had backgrounds in the sciences, and associated scientific advancement with the overthrow of religion and traditional authority in favor of the development of free speech and thought.
& The underlying subsoil of this biome is permafrost, which prevents both water draining through and deep-
moted plants from growing. Additionally, there is very little precipitation per year.
Temperate grassland
I
Tropical rainforest
D Tundra
The thick forest of this biome tends to be well adapted to short growing seasons
Answers
Answer: D. Tundra
Explanation: Tundra biomes have permafrost and very little vegetation.
The underlying subsoil of the TUNDRA biome is permafrost, which prevents both water draining through and deep-rooted plants from growing. Moreover, the thick forest of the TAIGA biome tends to be well adapted to short growing seasons.
The tundra biome is characterized by freezing weather, low precipitation, a short-cool growing season and the presence of permafrost.Permafrost is soil that remains frozen for two or more consecutive years.The taiga is a forest biome of the cold, subarctic regions, which is characterized by long winters and moderate-high annual precipitation levels. The temperate grassland is characterized by nutrient-rich soils capable of supporting different plant species, having grasses as the dominant vegetation.The tropical rainforest is a biome characterized by warmer temperatures, high rainfall, and no cold season. This biome (tropical rainforest) is rich in biodiversity because of its climate.In conclusion, the biomes mentioned in the question are TUNDRA and TAIGA.
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Explain the physiological and psychological factors that determine how someone may experience pain.
Answers
my sincerest apologies for the late answer
Psychological factors exist when we experience pain and can influence how strongly we feel that pain, whether it be situational or emotionally. Attention, understanding, control, expectations, and the aversive significance can affect how we perceive pain too. The gate-control theory connects the physiological reaction and psychological experience of pain. Memories of pain influence the brain to develop something called chronic pain, this is psychological. Biology of the brain and body are purely physiological. The sociocultural influence on pain either values or disvalues the display of emotions, postural mobility or verbal expression in response to pain or injury. Some cultural groups expect an extravagant display of emotion in the presence of pain, but others value stoicism, restraint and playing down the pain. This impacts both the tolerance for pain and how people deal with pain, either by immediately rushing to a doctor or just trying to walk off something severe. This can also change based on the economic status of where a person lives. Pain control is both physiological in the fact that the body can respond to pain by releasing endorphins to control pain, and psychological in the fact that the brain can even go without recognizing the body is injured if you do not see a wound.
HELP!! NOT MUCH TIME LEFT!!!
WILL MARK BRAINLIEST
Which career pathways are a part of the Manufacturing career cluster? Select all that apply.
Manufacturing Production Process Development
Production
Maintenance, Installation, and Repair
Legal Services
Logistics and Inventory Control
Quality Assurance
Business Financial
Management
Health, Safety, and
Environmental Assurance
Answers
Answer:
A
B
C
E
F
H
Are the correct answers.
Explanation:
If you look up, "what career pathways are in the manufacturing career cluster", there will be a list.
This is what it tells you:
The manufacturing cluster contains six career pathways: health, safety, and environmental assurance; logistics and inventory control; maintenance, installation and repair; manufacturing production process development; production; and quality assurance.
Therefore, A, B, C, E, F, and H are correct.
The career pathways that are part of the Manufacturing career cluster are First, second, sixth and last options.
What is career?The career serves as an individual's metaphorical "journey" which could be attained by learning.
The Manufacturing career cluster encompass different production work as well as the finance and safety of the environment.
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As a rule, only about 75% of properly planted seedlings will survive. Based on this rule, if a landowner plants 2500 seedlings properly, how many of these seedling should survive? A. 2575 B. 1875 C. 625 D. 2425
Answers
Answer:
B. 1875 seedlings
Explanation:
Given the following data;
Amount of seedling properly planted = 25000
Percentage to survive = 75%
Amount of seedling = 75/100 * 2500
Amount of seedling = 75*25
Amount of seedling = 1875 seedlings.
Anyone play basketball and can help me out with a question? I will give you brainest :)
Answers
Answer:
i play, whats the question
Explanation:
D. Over head u-u Yw
******40 POINTS********************************************************************************************
Refer back to the video in the introduction to 6.1 - Is Google a Monopoly? Let’s assume that Google is a monopoly. Should Americans be concerned? Typically people are weary of monopolies because of the pricing power that they have. But using Google Search is free.
Should the United States government step in? If you say yes, how should they punish the company? Whether you say yes or no, be sure to justify your answer.
Create a new post in which you respond to the question above. Your post should:
Provide thoughtful and practical suggestions for how the issue of scarcity should be approached.
Reference key ideas and terms from the lesson.
Be well organized, well-written in professional language, and free from grammatical errors.
After you have made your post, provide a substantive response* to at least one other student.
*A substantive response means a response which adds to the conversation started in the original post in a meaningful way. Some examples of substantive responses include sharing a reaction to the original post along with an explanation, asking good follow up questions, or sharing a personal experience that relates to the original post. Simply saying that you agree or disagree, or making general comments (e.g. "great job" or “I disagree”) does not qualify as a substantive response.
Answers
Answer:
can you post the actual question and not the whole passage?
Explanation:
what is the resolution of comflict
Answers
Answer:
Conflict resolution is a way for two or more parties to find a peaceful solution to a disagreement among them
hope this helps!!
Brainliest is appreciated! <3
Obtuse, rubber goose, green moose, guava juice
Giant snake, birthday cake, large fries, chocolate shake
Answers
Answer:
Oddparents
Fairly oddparents
It flips your lid when you are a kid with fairly oddparents
Explanation:
Answer:
birthday cake ,chocolate sake
Amy needs to write a paper that contains more than 3,422 words for school. She has already written 1,413 words and writes at a rate of 287 words per day. Which of the following inequalities could be used to solve for x, the number of days it will take Amy to finish her paper? I NEED HELP ASAP
Answers
Answer:
Explanation:
pmmpo
In the second paragraph, the author compares his relationships with mathematics and English primarily to?
Answers
Hello. You did not enter the text to which this question refers, which makes it impossible for it to be answered accurately. However, the author's comparison to make sense, must be made with elements that have a similar relationship to the relationship that can be established between English and mathematics. In this case, the author can report the relationship between signs and symbols, among other scientific areas, between people, or other elements that present a subjunctive similarity, since this type of similarity is what can be established with English and mathematics.
The speaker in the text talked about the dread for language that he experienced while trying to adapt to a new environment. In the second paragraph, the author compares his relationships with mathematics and English primarily;
“Like gold to airy thinness beat.In his quest to master the English language, the speaker in the text invested a lot of time in developing a grasp of the language.
However, his grasp of the English Language could not be compared to his knowledge of Mathematics.
His teacher was awed when he analyzed texts in English class. The difference could be contrasted to gold and airy thinness.
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In a well-constructed essay, explain how Frost uses imagery and figurative language to communicate the central theme of this poem.
100 points!! WILL NAME BRAINLIST!
Answers
Answer:
In the poem "Mending Wall", Robert Frost uses language and paragraph structure in order to develop controversial ideas about the necessity of change and stirring rebellion, and about maintaining individuality.
Explanation:
WORTH 50 POINTS
Identify three strategies you plan to use while taking the multiple-choice exam. Explain why you think these strategies will be most helpful to you.
Answers
Answer:
1. eliminate answers you know for sure are incorrect
2. thoroughly read through the question and each answer
3. avoid answers including "always, never, all, must", etc. and lean towards answers using "sometimes, generally, seldom, mostly, tend to", etc.
Explanation:
explain how Frost uses imagery and figurative language to communicate the central theme of this poem. (the mending wall)
100 points!! WILL NAME BRAINLIST!
Answers
Answer:
In the poem "Mending Wall" , Robert Frost uses language and paragraph structure in order to develop controversial ideas about the necessity of change and stirring rebellion, and about maintaining individuality.
Explanation:
MARKING BRAINLIEST: Ok so I just need some help on a little sentence I wrote. Its my friend (josh) speaking to me about a party. I just need to know if the punctuation for this sentence is correct or I should split it into 2 sentences and if I have to explain how.
BELOW:
"Oh yea," Josh says, "I forgot to mention i'm throwing a little gathering with some people you and I know, so get comfortable because tonight is going to be one hell of a night."
Answers
Answer:
Yah its correct no mistakes (i think)its good to me
Explanation:
But brrrrrr the comment is very -_-
What were the social impacts of the green revolution?
Answers
Answer:
lifted large numbers of poor people out of poverty
helped many nonpoor people avoid the poverty
hunger they would have experienced had the Green Revolution not occurred.
Explanation:
MARKING BRAINLIEST: QUESTION ABOUT DIALOGUE : Ok so i'm writing a memoir from the first time I smoked for my AP LANG class. I just need someone to tell me if my punctuation and dialogue are all good. If my dialogue isn't, could you tell me where I messed up and how to fix it?
(if some swear words look weird its cuz i had to change them so brainly would let me post this)
Dialogue:
Everyone was looking at me, waiting expectantly for me to smoke it. "Ayo imma have to pass on this one. I'm just not the smoker type," I said with a nervous laugh. "That's cap," one of the guys yelled across the circle. Josh looked at me with a sideways stare while all the guys began egging me to take just one hit. To my left, AJ, a kid I've only met a few times, started taunting me until I began to feel butterflies creep up again. "My guy, just take the hit. You got all these fine ahh females around, and you're making yourself look like a bussy every second you waste," he said. Tyler, another junior, chimed in and said, "Naw, he's just after Emma they've been practically on top of one another. Ain't that Jabreel?"
Answers
Humans often convert grasslands into farm fields to grow crops. Describe why the conversion of temperate grasslands, such as in the central United States, into agricultural areas is an environmental problem.
Answers
Answer:
The answer is below
Explanation:
The conversion of temperate grasslands, such as in the central United States, into agricultural areas, is an environmental problem. This is evident for the following reasons:
1. The conversion of temperate grasslands endangers some certain species such as grasslands songbirds, the monarch butterfly, native bumblebees, etc.
2. This conversion has also affected the surrounding water bodies negatively, particularly the water used for drinking
3. It has also affected the degree to which surrounding carbons of the central United States is being managed
Explain how ONE specific historical event or development during the period 1945 to 1975 that is not mentioned directly in the excerpts could be used to support McMaster's interpretation.
Answers
Answer: One specific historical event
Explanation: McMaster believed Johnson based all of his decisions of the Great Society Program. This was ways to reform the nation.
what would you do if someone says that u were dating them and u were not