How do you do congruent angles

Answers

Answer 1

Answer:

 Angles are congruent if they have the same angle measure in degrees.

Answer 2
Angles are congruent if they have the same angle measure in degrees. They can be at any orientation on the plane. In the figure above, there are two congruent angles. Note they are pointing in different directions. If you drag any of the endpoints, the other angle will change to remain congruent with the one you are changing.

For angles, 'congruent' is similar to saying 'equals'. You could say "the measure of angle A is equal to the measure of angle B". But in geometry, the correct way to say it is "angles A and B are congruent".

To be congruent the only requirement is that the angle measure be the same, the length of the two arms making up the angle is irrelevant. As you drag the orange dots above, note how the line lengths will vary but the angles remain congruent, because only the angle measure in degrees matters <3

Related Questions

Please answer the following question attached.

Answers

Answer:

Nonlinear

Step-by-step explanation:

Because it is an exponentially growing graph that is not linear.

Answer:

Non-linear

Step-by-step explanation:

If the graph was growing it would be linear.But the graph isn't growing.So it becomes non-linear.

select three ratios and that are equivalent to 3:12​

Answers

Final answer:

To find three ratios equivalent to 3:12, we simplify the ratio to 1:4 and then scale it up. The three equivalent ratios are 2:8, 3:12 (the original ratio), and 4:16.

Explanation:

To find three ratios equivalent to the ratio 3:12, we need to simplify or scale the given ratio up or down. Given that 3:12 simplifies to 1:4 (by dividing both numbers by their greatest common divisor, which is 3), any multiple of this simplified ratio will also be equivalent to 3:12.

By multiplying both terms of the ratio 1:4 by 2, we get the equivalent ratio 2:8.Multiplying both terms by 3 gives us another equivalent ratio, 3:12, which is our original ratio and shows that multiplying by a common factor yields an equivalent ratio.Lastly, multiplying both terms by 4 would give us the equivalent ratio 4:16.

These three equivalent ratios show the concept of scaling a ratio up while maintaining the proportional relationship between the two quantities.

What is the area of the irregular figure below?
12in.
6 in.
4in.
WILL GIVE BRAINLIEST NEED HELP ASAP

Answers

Answer:

can not be a triangle

Step-by-step explanation:

4 plus 6 equals 10 not nore than twelve.

you find a mutual fund that offers approximately 4 % APR compounded monthly. How much will you need to invest each month for the next 6 months in order to have $500?

Answers

Final answer:

To reach $500 with a 4% APR compounded monthly, you would need to invest $1.67 each month for the next 6 months.

Explanation:

To calculate how much needs to be invested each month for the next 6 months to have $500 with a 4% APR compounded monthly:

Calculate the monthly interest rate using APR: 4% APR = 4%/12 = 0.3333% monthly rate.Use the present value formula: $500/(1 + 0.3333%) = $500/1.0033333 = $498.33.Subtract the present value from the future value to find the monthly investment required: $500 - $498.33 = $1.67.

This calculation ensures the necessary monthly investment to reach the desired future value, facilitating financial planning and goal setting.

A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftovers. How many students are there?

Need steps

Answers

Answer:

24 students

Step-by-step explanation:

- I would suggest making a list of all numbers between 20-30.

21 (divisible by only 3) = wrong

22 (divisible by only 2) = wrong

23 (not divisible) = wrong

24 (divisible by 2, 3, 4, 6, and 8) = correct

25 (not divisible) = wrong

26 (divisible by only 2) = wrong

27 (divisible by only 3) = wrong

28 (divisible by only 2 and 4) = wrong

29 (not divisible) = wrong

- Now, find if they factor into 2, 3, 4, 6, and 8. I will do this, but read what I put.

- Hope this helps! If you would like a further explanation please let me know.

The number of students in the classroom is 24, as it is the smallest multiple of 2, 3, 4, 6, and 8 that is between more than 20 and fewer than 30.

The student is given a number puzzle in a mathematics classroom setting. Based on the teacher's hints, the number of students in the classroom should be a common multiple of 2, 3, 4, 6, and 8 that also fits within the given range of between more than 20 and fewer than 30. We need to find the least common multiple (LCM) of these numbers that fits the criteria.

First, realize that since the number must be divisible by 8, it must be at least 24 since 16 is too low.

Next, confirm if 24 is also divisible by 2, 3, 4, and 6. It is indeed, as 24=2x12, 24=3x8, 24=4x6, and 24=6x4.

Because 24 is the only number between 20 and 30 that is divisible by all the given numbers, it is the answer.

Thus, the number of students in the classroom is 24.

A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.
Enter an estimate for the land area on the planet. Round the answer to the nearest million.

Answers

Answer:

ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000

Step-by-step explanation:

To find the land area of a planet with a radius of approximately 1,534 miles and two-thirds water coverage, we calculate the total surface area and take one-third of that as the land area. The land area is approximately 9,867,658 square miles, which rounds to 10 million square miles.

To estimate the land area on the planet with a radius of 1,534 miles that is two-thirds covered by water, we first calculate the planet's total surface area using the formula for the surface area of a sphere, which is 4πr². Plugging in the radius:

Total surface area = 4π(1,534)² ≈ 29,602,975 square miles.

Since two-thirds of the planet's surface is covered by water, one-third is land. Therefore, the land area is approximately:

Land area = ([tex]\frac{1}{3}[/tex]) × Total surface area ≈ ([tex]\frac{1}{3}[/tex]) × 29,602,975 ≈ 9,867,658 square miles.

When rounded to the nearest million, the estimate for the land area is 10 million square miles.

Translate radical expressions into expressions with rational exponents, and vice versa. Simplify numerical
expressions when possible.
6.(2x). O
04 - 0

Answers

Answer:

a) ([tex]\sqrt[n]{x}[/tex]) the n will be 5 the x will be (-32/243)^2.

b) written the same as a. except the c will replace the n and x will be (2y)^b.

c) the answer will be 0.4^3.

d) the answer would be (st)^v/u.

Hope this helps!

Brainliest?

What number goes in the cell in row y, below 4?

Answers

Answer:

10.

Step-by-step explanation:

The formula for this table is y=x+6. plug in 4 and you get 10

Answer:

10

Step-by-step explanation:

Don't just think: 6,7,8,9, oh it must be 10.

When x is 0, y is 6. That means no matter what 6 is added to x. So if we look at when x is 2, y = 8. Lets subtract the 6 from the 8 and we get 2. So the x is not multiplied by anything.

The equation is y = x+6.

4+6=10

A construction crew built 1/3 miles of road in 1/6 days


What is the unit rate in miles per day?


Write your answer in the simplest form.

Answers

Answer:

2 miles per day

Step-by-step explanation:

The length of the road built is 1/3 miles, so let's call L = 1/3

The time spent to build this length is 1/6 days, so let's call D = 1/6

To find the unit rate in miles per day, that is, the speed that this length of the road was built, we just need to divide L by D (speed is distance over time). Let's call the speed S:

S = D/T

S = (1/3) / (1/6)

S = (1/3) * 6

S = 2 miles per day

Final answer:

The unit rate, which is the rate of distance built per day, is 2 miles per day. Calculated by dividing the total distance by the total time, multiplying 1/3 by the reciprocal of 1/6.

Explanation:

This question involves the concept of unit rates. A unit rate tells us how one quantity relates to one unit of another quantity. In this case, we are asked to find the number of miles of road that can be built in one day (the unit rate).

To find the unit rate, we need to divide the total distance (1/3 miles) by the total time (1/6 days). When we divide fractions, we multiply the first fraction by the reciprocal of the second.

So, the calculation should be (1/3) ÷ (1/6) = (1/3) * (6/1) = 2.

So, the construction crew can build 2 miles of road in one day.

Learn more about Unit Rates here:

https://brainly.com/question/22607023

#SPJ3

PLZ HELP!!! Will mark brainliest. I need answer as soon as possible because im being timed! I need b and c. Thank you!

Answers

Answer:

Step-by-step explanation:

B part

the variability of the two distributions appears to be about the same.

C part

. /. = .

the separation of . MADs. There is a  difference between the population means. Going to college is worth the effort.

Using the data below, determine the angle for the part of the pie chart the represents the people who prefer dogs?

A. 172.8°
B. 64.8°
C. 6.7°
D. 48°

Answers

Answer:get your money up ohh and its 6.7

Step-by-step explanation:

Answer:

172.8°

Step-by-step explanation:

the answer is in the picture

please like and Mark as brainliest

Can you plz help with this question ASAP!!!?

Answers

Answer:y=2/3x

Step-by-step explanation:

Rectangle R was dilated to form rectangle R prime. Rectangle R has a length of 8 and width of 4. Rectangle R prime has a length of 20 and width of 10. Which is the scale factor of the dilation? Five-fourths StartFraction 2 Over 1 EndFraction Five-halves StartFraction 5 Over 1 EndFraction

Answers

Answer:

5/2

Step-by-step explanation:

20/8= 10/4=5/2

If the median of five consecutive even integers is 20, what is the value of the smallest integer?

Answers

Answer:

16

Step-by-step explanation:

Median means the middle number. So you can look at it like this:

a,b, 20, c,d

Those are the variables for the numbers we do not know. We do know that they are all even numbers and they are consecutive, meaning in sequence. So if they are all even, then there should be a gap of 2 between each. They should also be in order. Knowing that, you can subtract 2 from 20 to get b, subtract 2 from b to get a, add 2 to 20 to get c, and add 2 to c to get d.

This should be your answer:

16, 18, 20, 22, 24

Consecutive, and even.

Final answer:

The smallest integer in the set of five consecutive even integers with a median of 20 is 16. This is calculated by recognizing the median as the middle value, and subtracting 4 (for two even steps) from the median.

Explanation:

If the median of five consecutive even integers is 20, we can determine the value of the smallest integer by understanding the property of consecutive even numbers and the nature of the median in a symmetrically distributed set. Since the median of this set is the middle value, the five consecutive even numbers can be represented as:

x

x + 2

20 (the median)

x + 4

x + 6

The median, 20, is the third value in this ordered set. To find the smallest value, x, we look two even numbers behind 20. Since consecutive even numbers increase by 2 with each step, we subtract 4 from 20 to find the smallest value.

20 - 4 = 16

Therefore, the smallest integer in this set of five consecutive even numbers is 16.

HELP!!! Can someone answer this question for me??
Determine ratio of A to B. Round as indicated.

A = 36 π square inches is the area of a circle with diameter 12 inches . B = 144 square inches is the area of a square with sides of length < 12 inches .
a.) 4/π b.) 6/π c.) π/4 d.) π/6



Answers

Answer:

  c.)  π/4

Step-by-step explanation:

Form the desired ratio and simplify:

  A / B = circle area / square area

  = (36π)/(144) = (π·36)/(4·36) = π/4 . . . . matches choice C

what is the different of the complex number ? (3+7i)-(-4-2i)

Answers

Answer:

7 + 9i

Step-by-step explanation:

Given

(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis

= 3 + 7i + 4 + 2i ← collect like terms

= 7 + 9i

Answer:

7+9i

Step-by-step explanation:

Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?


A, B, C, or D?

EDIT: The answer is C. I guessed right.

Answers

The answer to this question is C.

The y-intercept of a graph is the point, where the graph crosses the y-axis.

The graph with the given details is graph (c)

The given parameters are:

[tex]\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}[/tex]

[tex]\mathbf{y-intercept = (0,3)}[/tex]

[tex]\mathbf{Increasing\ interval = (0,4)}[/tex]

From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.

So, graph (d) cannot be the required graph

Graph (a) has a domain of: [tex]\mathbf{(-\infty,5),,,,,}[/tex]

So, graph (a) cannot be the required graph

The domain of graph (b) is [-3,3]

So, graph (b) cannot be the required graph

Hence, the required graph is graph (c)

Read more about graphs at:

https://brainly.com/question/451329


The supplementary angles differ by 24. Write two equations and find the two angles
HELP!

Answers

Answer:

78°, 102°

Step-by-step explanation:

Let the two Supplementary anglea be x and y degrees, where x > y.

[tex] \therefore \: x - y = 24 \degree...(1) \\ x + y = 180 \degree...(2) \\ adding \: equations \: (1) \: and \: (2) \\ \\ x - y = 24 \degree \\ x + y = 180 \degree \\ - - - - - - \\ 2x = 204 \degree \\ x = \frac{204 \degree}{2} \\ \huge \red{ \boxed{x = 102 \degree}} \\ from \: equation \: (2) \\ 102 \degree + y = 180 \degree \\ y = 180 \degree - 102 \degree \\ \huge \purple{ \boxed{y \: = \: 78\degree}}[/tex]

A horizontle line passes through the points (5, -1). Which point is also on this line?

Answers

Because it’s a horizontal it is laid flat

So coordinates that have -1 as the y value are on the same line

Ex: (6,-1), (2,-1), (7,-1) etc..

Factor as the product of two binomials.
x^2+14x+49=

Answers

Answer:

( x + 7 ) ( x + 7 )

Step-by-step explanation:

Product = 49

Sum = 14

Factors = 7 & 7

x² + 14x + 49

( x + 7 ) ( x + 7 )

Answer:

Step-by-step explanation:

x² + 14x + 49 = x² + 7x + 7x + 7*7

= x*( x+ 7) + 7*(x + 7)

= (x + 7)(x + 7)

ANSWER PLZ ASAP!!!!!!!!!!!!!!

Answers

Just substitute r with 357 and solve.

= 1/7(357) + 3(1/7(357))

= 51 + 3(51)

= 51 + 153

= 204

Therefore, Eliza read 204 in those 3 days.

Best of Luck!

Answer:

Part A: 204 pages

Step-by-step explanation:

Eliza reads of her book on Monday by [tex]\frac{r}{7}[/tex] pages, where r is the total number of pages in the book.

On Tuesday and Wednesday combined,  she reads three times as much as she reads on Monday i.e. [tex]\frac{r}{7} * 3 = \frac{3r}{7}[/tex] pages.

So, combining Monday, Tuesday and Wednesday she reads [tex]( \frac{r}{7} + \frac{3r}{7} ) = \frac{4r}{7}[/tex] number of pages.

Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads [tex]\frac{4*357}{7} = 204[/tex] pages.

please give me brainliest

2 1/3 * 2 1/4 * 1 3/8

Answers

Answer:

7.21875

Step-by-step explanation:

what power of 7 is 2041? 2041=7^6-2x

Answers

Answer:

x = 1

Step-by-step explanation:

2401 = 7⁶⁻²ˣ

7⁴ = 7⁶⁻²ˣ

4 = 6 - 2x

2x = 6 - 4

2x = 2

x = 1

Final answer:

There is no integer power of 7 that exactly equals 2041, as 7 to the power of 4 is 2401, which is the closest integer power of 7 that is higher than 2041.

Explanation:

The question asks to determine the power of 7 that equals 2041, which is written mathematically as 2041 = 7x. To solve this, one approach is to estimate and refine by trying different powers of 7 until we get close to 2041. Here's how the estimation process could work:

Start with lower powers of 7 like 72 = 49, and increase the exponent.

Notice that 73 = 343 and 74 = 2401.

Since 2401 is just above 2041, we suspect our answer will be close to 4 but slightly less.

Checking with a calculator or using a division strategy, we can confirm that 2041 is slightly below 74, making it clear there's no integer power of 7 that equals 2041.

Therefore, there isn't an integer power of 7 that precisely equals 2041.

c/3 - 7 = 1 solve for c.

Answers

Answer:

24

Step-by-step explanation:

Add 7 to both sides

c/3=8

Multiply both sides by 3

c=24

hope this helped

:)

A student solved this problem by working backward.

Jared has some flowers. He has 6 more red flowers than yellow flowers. He has twice as many orange flowers as red flowers. He has 4 yellow flowers. How many flowers does Jared have altogether?

Student's solution:
Jared has 4 yellow flowers.
He has 6 more red than yellow flowers (4 + 6 = 10).
He has twice as many orange flowers as red flowers (10 × 2 = 20).
So Jared has 4 + 10 + 20 = 34 flowers.

Use a similar strategy to solve this problem.

Kathleen has some balloons. She has 7 more silver balloons than gold balloons. She has 3 times as many bronze balloons as silver balloons. She has 5 gold balloons.

How many balloons does Kathleen have altogether

Answers

She has 38 balloons altogether

Kathleen has 5 gold balloons, 12 silver balloons, and 36 bronze balloons. By adding the number of each type, she has a total of 53 balloons.

To determine how many balloons Kathleen has altogether, we can work backward just like the student did in the original problem. Here are the steps:

Kathleen has 5 gold balloons.She has 7 more silver balloons than gold balloons, so she has 5 + 7 = 12 silver balloons.She has 3 times as many bronze balloons as silver balloons, so she has 12 × 3 = 36 bronze balloons.Adding them all together: 5 gold + 12 silver + 36 bronze = 53 balloons.

Hence, Kathleen has a total of 53 balloons.

How do you find the area of this shape?

Answers

Answer:

the area is 20

Step-by-step explanation:

If you put the triangles together, it makes a perfect square of 4, 16+4 = 20

Pls answer This question I don’t know it

Answers

A - 32,500
B- 0.00604
C-2.4x10 to the power of 6
D-1.47x10 to the power of -3
Yes , I agree with the statement above

This table shows the areas of different garden plots in square meters.

This table shows the areas of different garden plots in square meters.

Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.



Area (m²)
Create a line plot to display the data.

To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.



Area (m²)

5.5 6.5 6.0 6.0 6.5 6.0 6.5
7.0 5.5 6.5 5.5 6.0 7.0 5.5
5.5 6.5 6.0 6.5 6.5 6.0 7.0

Answers

Answer:

5.5 goes up 5 times 6.0 goes up 6 times 6.5 goes up 7 times and 7.0 goes up 3 times.

Step-by-step explanation:

1. Andre drinks 15 ounces of water, which is 35% of a bottle. How much does the bottle hold?

Use for the number of ounces of water the bottle holds.

Equation:

Solution:

Answers

Answer:

43 ounces of water

Step-by-step explanation:

Kindly refer to the attached image for explanations

Answer:

Step-by-step explanation:

she

What value of X and Y will make all 3 lines parallel?

Answers

Answer:

x = 19

y = 14

so c is the correct answer

Step-by-step explanation:

for them to be parallel, 5x + 15 has to equal 110 because of the 70 on the opp side making the two supplementary, and 5y has to equal 70

so 5y = 70, making y = 14

then 5x + 15 = 110

to     5x = 95

so     x = 19

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A 2-column table with 4 rows. The first column is labeled x with entries 0, 1, 4, 5. The second column is labeled y with entries 0, 1, 4, 5.What is the correlation coefficient for the data shown in the table?0145 On January 1, 2022, Ivanhoe Creek Country Club purchased a new riding mower for $15,400. The mower is expected to have a 10-year life with a $2,700 salvage value.What journal entry would Ivanhoe Creek make on December 31, 2022, if it uses straight-line depreciation? (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter 0 for the amounts.) 17) Order the numbers from least to greatest based on their absolute value. |7|, |4|, |2|, |3| A)|2| < |7| < |4| < |3| B)|7| < |4| < |3| < |2| C)|2| < |3| < |4| < |7| D)|7| < |2| < |3| < |4| If the probability that it will rain tomorrow is 15, what is the probability that it will not rain tomorrow? A .45 B .35 C .25 D .210 What is the slope of a line that is perpendicular to the line y=8x+5 What did the Romans develop to improve sanitation?IF U DONT ACTUALLY FOR SURE KNOW THE ANSWER THEN DONT SAY ANYTHINGA.indoor plumbingB.public bathhousesC.government trash removalD.proper medical treatments Select all the correct answers.In which two ways does the third paragraph contribute to the development of ideas in the passage?It cites modern research to demonstrate the effectiveness of home remedies.It supports the ideas of the second paragraph by using modern medical terms to explain the useful properties of homeremedies.It reinforces the idea in the fourth paragraph that home remedies are inexpensive by emphasizing the healing properties ofplants.It explains the benefits of folk medicine and home remedies in curing serious illnesses.DIt establishes the idea that home remedies are rooted in traditional knowledge. Explain how each of the following events affects the AS curve. a. The Fed increases the money supply. Aggregate supply is unchanged Aggregate supply shifts to the left Aggregate supply shifts to the right b. Oil prices drop sharply. Aggregate demand shifts to the right Aggregate demand shifts to the left Aggregate supply shifts to the right Aggregate supply shifts to the left In your own words, explain the difference between physical properties and chemical properties. A 1500 kg car carrying four 90 kg people travels over a "washboard" dirt road with corrugations 3.7 m apart. The car bounces with maximum amplitude when its speed is 20 km/h. When the car stops, and the people get out, by how much does the car body rise on its suspension? Roger parked his car at a garage that has a large sign at the entrance saying, "This garage is not liable for items stolen from a car." This type of notice is referred to as an exculpatory clause.a.trueb.false Read the excerpt from The Lottery.Soon the men began to gather, surveying their own children, speaking of planting and rain, tractors and taxes. They Stood together, away from the pile of stones in the corner, and their jokes were quiet and they smiled rather than laughed.The Women, wearing faded house dresses and sweaters, came shortly after their menfolk. They greeted one another and exchanged bits of gossip as they went to join their husbandsWhat Information from the excerpt is ironic?A. That the women were plainly dressedB. That the women arrived after their husbands C. That the men stood away from the pile of stonesD. That the men talked of commonplace topics Marta and Kim are sisters. Five years ago Kim's age was twice as great as martas age. If Marta is no m years old, what expression represents Kim's age now? An electron moves with a speed of 8.0 10^{6} m/s along the +x-axis. It enters a region where there is a magnetic field of 2.5 T, directed at an angle of 60 to the +x-axis and lying in the xy-plane. What is the magnitude of the magnetic force of the electron? Reactions leading to nucleic acid and protein synthesis are inherently different from those of intermediary metabolism. Such reactions must be essentially ________. The synthesis of polynucleotides is thus coupled to ________ _________ hydrolysis. How do you themes and morals differ You mix 125 mL of 0.170 M with 50.0 mL of 0.425 M in a coffee-cup calorimeter, and the temperature of both solutions rises from 20.20 C before mixing to 22.17 C after the reaction. What is the enthalpy of reaction per mole of ? Assume the densities of the solutions are all 1.00 g/mL, and the specific heat capacities of the solutions are 4.2 J/g K. Enthalpy of reaction = kJ/mol . Understanding how shirking decreases team output Caroline sells bottled water from a small stand by the beach. On the last day of summer vacation, many people are on the beach, and Caroline realizes that she can make a lot more money this day if she hires someone to walk up and down the beach selling water. She finds a college student named Antonio and makes him the following offer: They'll each sell water all day and split their earnings (revenue minus the cost of water) equally at the end of the day. Caroline knows that if they both work hard, Antonio will earn $90 on the beach and Caroline will earn $180 at her stand, so they will each take home half of their total revenue: . If Antonio shirks, he'll generate only $50 in earnings. Caroline does not know that Antonio estimates his personal cost (or disutility) of working hard as opposed to shirking at $25.Once out of Caroline's sight, Antonio faces a dilemma: work hard (put in full effort) or shirk (put in low effort).In terms of Antonio's total utility, it is better for him to (shirk or work hard?)Taking into account the loss in utility that working hard brings to Antonio, Caroline and Antonio together (are/ are not) ff if Antonio works hard instead of shirking.Caroline knows Antonio will shirk if unsupervised. She considers hiring her good friend Carrie, who happens to be free on that day, to keep an eye on Antonio. The most Caroline should be willing to pay Carrie to supervise Antonio, assuming supervision is sufficient to encourage Antonio to work hard, is (25, 20, 45, 15)Caroline knows Antonio will shirk if unsupervised, but she could not find a reliable person to watch him. Which of the following arrangements will ensure that Antonio works hard without making Caroline any worse off than she is when Antonio shirks?Allow Antonio to keep 73% of the revenue from the bottles of water he sells instead of 50%Make Antonio promise to work hard Pay Antonio $70, regardless of how many bottles of water he sellsAllow Antonio to keep 70% of the revenue from the bottles of water he sells instead of 50% Use properties of rational number to simplify the expression.A.)129/7B.)262/15C.)122/7D.)507/28 find an angle in the normal range (0 degrees to 360 degrees, or 0 to 2pi radians) whose terminal side points in the same direction as the terminal side of an angle measuring -11pi/3.