The degree measures of all of these angles are 60, 61, 61, 179, 179.
How to solve for the angle measuresGiven that the 3rd largest angle that we have here is 61 degrees, the three angles are not going to be more than 183.
The sum of all the angles must be 540 degrees. The total of the largest of the numbers is less that 179 x 2 = 358 degrees.
The sum of the smallest three would be
540 - 358 = 182 degrees
Therefore the possible sets of these angles would be 60, 61, 61, 179, 179 degrees
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Answer:
61, 61, 61, 178, 179
Explanation:
The five interior angles of any pentagon add up to 3*180= 540
If the median is 61, then we know the three smallest angles are each no more than 61, and so they add up to at most 3*61= 183 degrees. This means the two largest angles must add up to at least 540-183= 357 degrees. Since 178+179=357, and since the angles are all integers strictly less than 180, the only possibilities for the two largest angles are 178, 179 or 179, 179.
We consider these possibilities one at a time.
If the two largest angles are 178 and 179, then the three smallest angles add up to exactly 183, so they must each be exactly 61. Thus, one set of angles that satisfy the conditions in the problem is 61, 61, 61, 178, 179.
If the two largest angles are 179 and 179, then the three smallest angles add up to 182. The only way this can happen is for one of them to be 60 and the other two to be 61, but in this case, the set of angles would have more than one mode. So we can rule out this answer.
In conclusion, the five angles must be 61, 61, 61, 178, 179.
Make suggestions on how cyber savvy campaigns could overcome public apathy to deal with human rights violations
Cyber savvy is the computer and internet knowledgeable person who deals with the cyber system. Cyber savvy can overcome the indifferences by launching awareness campaigns.
What are human rights violations?Human rights are the fundamental freedom and liberties that every individual have over their life. The violation of these rights can be due to denial or due to genocide, murder, torture, etc.
Campaigns can be used to overcome the indifference that deals with the violation act of the humans. Cyber help can be used to connect to a large number of people to make them aware of the negative impact of human rights violations.
Therefore, awareness campaigns can be launched to aware of violation acts.
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What effect does the modality of this exhibit most likely have on the visitors to the museum?visitors can use the gustatory modality to taste the tomatoes picked by laborers.visitors can use the auditory modality to hear stories about modern enslavement first-hand.visitors can use the tactile modality to feel the weight of the heavy tomato buckets.visitors can use the logic modality to calculate and compare earnings.
Answer:
Visitors can use the tactile modality to feel the weight of the heavy tomato buckets.
Explanation:
Got it right
Which of these refers to the average distance or difference of a score from the mean of the data set?
The influential statistics are used to analyze the data sample so that a conclusion about the information is reached. The standard deviation is the average distance and the mean of the data set.
What is the standard deviation?Standard deviation in statistics is used to denote the dispersion of the information of the mean values also the average distance of the individual data to the mean is represented.
This allows the understanding of the data collected by the analyzer and lets the easy comparison of the information that was collected for the analysis of the research topic.
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Which of these pieces of data about an animal at the zoo is considered numerical data?
There is not any data attached to look at so I can answer the question.
In the united states, what is minority status usually based on?
Answer:National,cultural and religious identityidentityidentity.
Explanation:
Which two genes are most likely to be affected by a crossing over event
Answer:
yes
Explanation:
yessss
A common motif in the poetry of this unit is death
Various poets address the element of death in their poems by referring to it as something dark.
How poets address the element of deathVarious poets address the element of death in their poems by mentioning something that relates to dark.
Death is used as a motif when it uses a symbol to represent death.
Thus, poets address the element of death in their poems by referring to it as something dark.
The complete question is below:
A common motif in the poetry of this unit is death. How do the various poets address the element of death?
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Two football players with mass 80 kg and 120 kg run directly toward each other with speeds of 8 m/s and 10 m/s respectively. if they grab each other as they collide, the combined speed of the two players just after the collision would be
The combined speed after the collision is -2.8 m/s.
How to get the combined speed?
Here we must have conservation of momentum, where momentum is the product between mass and velocity.
At the beginning, one of the players has a mass of 80kg and a velocity of 8m/s, so its momentum is:
P₁ = 80kg*(8m/s) = 640 kg*m/s
The other player has a mass of 120 kg and runs in the opposite direction at a speed of -10m/s (the negative sign is because of the direction). So its momentum is:
P₂ = 120kg*(-10m/s) = -1200 kg*m/s
The initial total momentum is:
P = P₁ + P₂ = 640 kg*m/s + ( -1200 kg*m/s) = -560 kg*m/s
At the end, the move together as a mass of (80kg + 120kg) = 200kg with a velocity V.
Such that the final total momentum is equal to the initial total momentum.
So we must have:
200kg*V = -560 kg*m/s
V = (-560 kg*m/s)/200kg = -2.8 m/s.
The combined speed after the collision is -2.8 m/s.
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Evidence such as spectra from distant stars suggests that the universe is... what?
Of the three characters in this episode, which had never been to washington d.c. before? summer jake dr. sabato
Answer:
jake
Explanation:
Answer:
1. jake
2. five minutes
3. the agency
Explanation:
Convert the following complex number into its polar representation -4i
The expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)
What is complex number?A complex number is the combination of real and imaginary number. In a complex number, real part and imaginary part of number is written together. For example,
a+bi
Here, (a) is the real part while (b) is the imaginary part.
The complex number which need to convert into its polar representation is,
n=-4i
It can be rewritten as,
n=0-4i
The radius r of the polar form is,
r²=0²+(-4)²
r²=0+16
r=4
The value of cos theta is,
tan θ=0/-4
θ=tan⁻¹(0)
θ=π
Thus, the polar form is,
z=rcos θ+(r sin θ)i
z=-4(cos π+ isin π)
Thus, the expression which represent the polar form of complex number -4i when converted into the polar form is 4(cos π+ isin π)
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Dr. smithe is designing a study to investigate whether aggressive preschoolers are likely to become aggressive adolescents. dr. smithe should use
According to the research, Dr. Smithe should use naturalistic observation to investigate aggressive preschoolers.
What are naturalistic observations?It is a method used in research and whose basis is to observe the subjects in the place where they live, without the researcher being disturbed in the least.
This allows detailing the behavior of the subjects that we record is what, in fact, the behavior that should happen in their habitat, under those conditions, obtaining real results, without any type of alteration.
Therefore, we can conclude that according to the research, Dr. Smithe should use naturalistic observation to investigate aggressive preschoolers.
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all of the following are types of education that you can recieve at a two year college except
A. Apprenticeship
B. developmental
C. transfer
D. Career
What is the main purpose of sustainable agriculture?
Of 1000 students surveyed, 490 were boys and 320 had bicycles. of those who had bicycles, 130 were girls. what is the probability that a student surveyed was either a boy or had a bicycle?
By definition of probability, the probability that a student surveyed was either a boy or had a bicycle is 62%.
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.
Events and probability in this caseIn first place, let's define the following events:
A: The event that a student surveyed was a boy.B: The event that a student surveyed had a bicycle.Then you know:
P(A)= [tex]\frac{490}{1000}[/tex]=0.49= 49%P(B)= [tex]\frac{320}{1000}[/tex]= 0.32= 32%P(A and B)= P(A∩B)= [tex]\frac{190}{1000}[/tex]= 0.19= 19% [320 students had bicycles. Of those who had bicycles, 130 were girls. Then, 190 were boys.]In this case, considering the definition of union of eventes, the probability that a student surveyed was either a boy or had a bicycle is calculated as:
P(A∪B)= P(A) + P(B) -P(A∩B)
P(A∪B)= 0.49 + 0.32 -0.19
P(A∪B)= 0.62= 62%
Then, the probability that a student surveyed was either a boy or had a bicycle is 62%.
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Given the balanced equation representing a reaction: h2 h + h what occurs during this reaction?
Answer:
What occurs is that energy is absorbed and bonds are broken. During the bond breaking, some energy is required to break the bonds. During the bond formation, some energy is released to the formation of the bonds.
A certain reaction is first order in reactant a and second order in reactant b. if the concentration of both reactants are doubled, what happens to the reaction rate?
Answer:
Death Note
Explanation:
Now this is how Death Note works in a note book ya wrote someone first and last name and then they die IS THAT GREAT oki death is near but now as close as you think your probaly stillyounge so live you life to the fullest and BE CONFUSSLED
How is anger different from aggression? a. anger is an emotion, and aggression is a description for a behavior. b. anger is temporary, and aggression is a permanent behavioral trait. c. anger is a description for behavior, and aggression is an emotion. d. anger is a permanent behavioral trait, and aggression is temporary. please select the best answer from the choices provided a b c d
Answer:
A: anger is an emotion, aggression is a description for behavior
Explanation:
got it right edg2022
If r is a commutative ring, show that the characteristic of r[x] is the same as the characteristic of r.
If R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.
What is a commutative ring?In ring theory, a commutative ring can be defined as a ring in which the multiplication operation is considered to be commutative in nature.
Let R represent a commutative ring with characteristic K.
Therefore, we have: Kr = 0∀r ∈ R.
Assuming f(x) ∈ R(x)
Then, f(x) would be given by: [tex]a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0=0[/tex]
Also, in some instances ai ∈ R and n ∈ N.
Finally, we would have:
[tex]Kf(x) = K(a_n x^n + a_{n-1} x^{n-1} +.......+ a_1 x^1 +a_0)\\\\Kf(x) = Ka_n x^n + Ka_{n-1} x^{n-1} +.......+ Ka_1 x^1 +Ka_0\\\\Kf(x) = 0\times x^n + 0\times x +.......+ 0[/tex]
Kf(x) = 0.
Therefore, we can infer and logically deduce that if R is a commutative ring, then, the characteristic of R{x} is the same as the characteristic of R.
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Which sample size will produce the widest 95% confidence interval, given a sample proportion of 0.5?
The sample size that will produce the widest 95% confidence interval, is 50. The correct option is D.
What is the confidence interval of proportion?The confidence interval of proportion is the sample proportion multiplied by the standard deviation of the sample proportion.
π is the sample proportion, 0.5
z is the critical value, 95%
n is the sampling size,
Thus, the correct option is D, 50.
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Global enterprises has just signed a $3 million contract. the contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today. what is this contract really worth today if global enterprises can earn 12 percent on its money?
The contract really worth today if global enterprises can earn 12 percent on its money will be 2.58 million.
What is a contract signing?The participants that sign the agreement agree to the statement's provisions as well as their commercial duties.
Global enterprises have just signed a $3 million contract.
The contract calls for a payment of $0.5 million today, $0.9 million one year from today, and $1.6 million two years from today.
Then the contract really worth today if global enterprises can earn 12 percent on its money will be
Contract really worth today = 0.5m + (0.9m/1.12) + (1.6m/1.12²)
Contract really worth today = $2.579 million
Contract really worth today ≅ 2.58 million
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Of the 34 cars in a parking lot, 12 are blue, 8 are red, 4 are white, and 10 are silver. in simplest form, what are the odds in favor that the next car that leaves the lot will be red or white? a. 6:11 b. 6:17 c. 17:6 d. 11:6
Answer:
see the attachment with the answer
The town should regulate the height of buildings allowed on main street
Answer:
Yes they should legit lol
If you turn the microwave on for two minutes, is the rate of popping always the same, or does it change? explain.
In the long run, if inputs are increased by 10 percent and output increases by 5 percent, then __________ are said to exist.
In the long run, diseconomies of scale will exist as the inputs are raised by 10 percent and the output by 5 percent.
What are diseconomies of scale?Diseconomy is the disadvantage of the financial and the economical sector of the long-run businesses that arise when the input and the cost of production are increased.
The input and the output are dependent on each other and the cost of production determines the financial gain or loss in a business. So, if the input and the output both are increasing then it will lead to diseconomy.
Therefore, the 10 percent increase in input and 5 percent increase in output leads to diseconomy.
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The speaker begins the poem by stating "i come back to your youth, my nana" (line 1), but the primary transformation sought overall is
The speaker which begins the poem has the primary transformation sought overall is recapturing of a sense of life's possibilities.
What is primary transformation?
The transformation in the poem means the transformation of the poet into the most authentic self. Primary transformation tells the meaning of the line of poem which the poet has written in the self authentic manner.
The speaker begins the poem by stating ,
"i come back to your youth, my nana"
Here, the primary transformation sought overall is recapturing of a sense of life's possibilities.
The speaker which begins the poem has the primary transformation sought overall is recapturing of a sense of life's possibilities.
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How did frederick douglass push for an end to slavery brainly
Answer: Douglass regarded the Civil War as the fight to end slavery, but like many free blacks he urged President Lincoln to emancipate the slaves as a means of insuring that slavery would never again exist in the United States.
Sectional violence has been taking place in iraq between two islamic factions, the shi'ites and _____. taliban jihad sunnis
Answer:
Sunnis is the answer on OW.
Which answer best describes the overall structure of the part of the text in which louis pasteur helps joseph meister?
The best description of overall structure of the part of the text is it explains what causes Pasteur to want to find a cure for rabies.
Who was Louis Pasteur?Louis Pasteur is a famous French chemist and microbiologist. He is known for discovering the cure for rabies.
He is also known for preventing diseases in silk eggs. Pasteurization is the process of preventing microbes that spoil milk or other beverages. The process is in his name.
Thus, the correct option is A, it explains what causes Pasteur to want to find a cure for rabies.
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2. Now, let's turn our attention to memory strategies. (10 points) a. List two of the memory strategies you have learned. b. Provide specific examples of how you could use each memory strategy