PICK ONE!! PHOTO ADDED!!

PICK ONE!! PHOTO ADDED!!

Answers

Answer 1
Angles

Find the value of x.

Shown in the figure, the relationship between these two angles are alternate exterior angles, so that means they are congruent. To figure out the value of x, simply equate the two angle measurement to each other and simplify.

Given:

(7x - 20)°(4x + 16)°

Solution:

7x - 20 = 4x + 167x - 4x = 20 + 163x = 36x = 36/3x = 12

Answer:

The value of x is Letter C. 12.

Wxndy~~


Related Questions

I don’t understand how to solve this

I dont understand how to solve this

Answers

\(\huge\underline\mathtt\colorbox{cyan}{1. f(-1)}\)

For this to be a solution of f(x), the answer must be 0

x^2+1=0 when x=-1

Solve each triangle using the Law of Cosines.

Solve each triangle using the Law of Cosines.

Answers

I’m not sure if you are asked to round to the nearest whole, so you can do that if needed.

Angle B = 52.1°
Angle C = 83.9°
side BC = 23.75


Given an SAS (side-angle-side) triangle, the law of cosines is used to find the missing side and missing angles. To find the side, a, opposite the known angle A (44°), use this formula: a^2 = b^2 + c^2 - 2bc•cos(A).
Substitute the values for b (line AC) and c (line AB):
a^2 = 27^2 + 34^2 - 2(27•34)(cos(44°))
a^2 = 729 + 1156 - 1836•cos(44°)
a^2 = 564.292
Then take the sqrt of both sides to get variable, a, alone. So, a = 23.75 units.
BC = 23.75 (or 24 if you must round to the nearest whole #).

Now using the side measurements, we can find angle B. b^2 = a^2 + c^2 - 2ac•cos(B)
27^2 = 23.75^2 + 34^2 - 2(23.75•34)(cos(B))
729 = 1156 + 564 - (1615•cos(B))
Isolate cos(B) to one side.
729 - 1720 = -1615•cos(B)
Divide both sides by -1615.
-991/-1615 = cos(B)
0.61362 = cos(B)
Take cos^-1 (0.61362)
B = 52.148
Angle B = 52.1° (or 52 to nearest whole degree).

Now for angle C: c^2 = a^2 + b^2 -2ac•cos(C)
34^2 = 23.75^2 + 27^2 - 2(23.75•27)(cos(C))
1156 = 564 + 729 -(1282.5•cos(C))
1156 - 1293 = -1282.5(cos(C))
Divide both sides by -1282.5.
-137/-1282.5 = cos(C)
0.10682 = cos(C)
Take cos^-1(0.10682)
C = 83.8678
Angle C = 83.9°. (Or 84 to nearest whole degree).

Since all 3 interior angles of a triangle must add to equal 180°, we can check the answers.
44 + 84 + 52 = 180 (true). Hope this helps!

4. what is the difference in the measures of center?
5. what is the variability of grades each week?
6. what conclusions can you draw about the test?

Answers

Measures of center are statistical tools used to determine the central tendency of a dataset, including mean, median, and mode.

The difference between these tools is how they capture the central tendency.

Variability of grades refers to how much grades fluctuate from week to week, which can be measured using statistical tools such as range, variance, and standard deviation. Without specific information about the test, it is not possible to draw conclusions.

However, analyzing the measures of center and variability can provide insights into student performance and grading consistency.

Further analysis, such as comparing grades to class averages or identifying patterns over time, may reveal additional information.

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Please answer correctly! I will mark you Brainliest!

Please answer correctly! I will mark you Brainliest!
Please answer correctly! I will mark you Brainliest!

Answers

Answer:

189

Step-by-step explanation:

The volume of a pyramid is Bh/3

B=9*9, h=7

9*9*7/3=189

Answer:

V = 189

Step-by-step explanation:

V = \(\frac{1}{3}\)Bh

9 x 9 = 81

81 x 7 = 567

567 ÷ 3 = 189

\(\frac{1}{3}\) means to divide by 3, when trying to find the volume of a pyramid or cone.

Let me know if this helps!

what is the center of the dilation

what is the center of the dilation

Answers

Answer:

C

Step-by-step explanation:

If you draw a straight line through all the corresponding vertices, where the three vertices meet up at is the center of dilation, they all meat up at point C so C is the center of dilation.

The cost of 6 pounds of oranges is $12.06. What is the constant of proportionality that relates the cost and dollars, y, to the number or pounds of oranges, x?

Answers

Answer:

I'm not 100% correct but this is what I believe proportionality is where k=y/x and k is proportionality constant

$6.57: 3 pounds of orange

y dollar: x pounds of orange

so the proportion

$6.57 y

_____ = _____

3 x

6.57×

_____ = y

3

2.19x = y

so k = 2.19

for what values of b are the given vectors orthogonal? (enter your answers as a comma-separated list.) −11, b, 2 , b, b2, b

Answers

The given vectors are:
Vector A = (-11, b, 2)
Vector B = (b, b^2, b)

The values of b for which the given vectors are orthogonal are 0, -3, and 3.

Dot product:


To find the values of b for which the given vectors are orthogonal, we need to use the dot product of the vectors.

To determine if two vectors are orthogonal, their dot product should be equal to zero.

The dot product is calculated as follows:

Dot Product (A, B) = A1 * B1 + A2 * B2 + A3 * B3

Substituting the components of Vector A and Vector B:

(-11 * b) + (b * b^2) + (2 * b) = 0

Now, simplify the equation:

-11b + b^3 + 2b = 0
b^3 - 9b = 0

Factor the equation:

b(b^2 - 9) = 0

Now, we can find the values of b:

b = 0
b^2 - 9 = 0
b^2 = 9
b = ±3

So, the values of b for which the given vectors are orthogonal are 0, -3, and 3.

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Suppose that a recent poll found that 62% of adults believe that the overall state of moral values is poor. Complete parts? (a) through? (c).

?(a) For 100 randomly selected? adults, compute the mean and standard deviation of the random variable? X, the number of adults who believe that the overall state of moral values is poor.The mean of X is nothing.

? (Round to the nearest whole number as? needed.)The standard deviation of X is nothing.

?(Round to the nearest tenth as? needed.)

?(b) Interpret the mean. Choose the correct answer below.

A.

For every 100?adults, the mean is the range that would be expected to believe that the overall state of moral values is poor.

B.

For every 100 ?adults, the mean is the minimum number of them that would be expected to believe that the overall state of moral values is poor.

C.

For every 100 ?adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor.

D.

For every 62?adults, the mean is the maximum number of them that would be expected to believe that the overall state of moral values is poor.?(c) Would it be unusual if 66 of the 100 adults surveyed believe that the overall state of moral values is? poor?

No

Yes

Answers

(a) The mean of X, the number of adults who believe that the overall state of moral values is poor, can be calculated using the formula for the mean of a binomial distribution. In this case, the probability of an adult believing that the overall state of moral values is poor is given as 0.62. So, the mean is calculated as follows:

Mean (μ) = n * p

where n is the number of trials (100 adults) and p is the probability of success (0.62).

μ = 100 * 0.62 = 62

The mean of X is 62.

The standard deviation of X can be calculated using the formula for the standard deviation of a binomial distribution:

Standard deviation (σ) = √(n * p * (1 - p))

σ = √(100 * 0.62 * (1 - 0.62)) ≈ 4.15

The standard deviation of X is approximately 4.15.

(b) The correct interpretation of the mean is C.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, the mean of 62 indicates that, on average, out of every 100 adults surveyed, approximately 62 of them would be expected to believe that the overall state of moral values is poor.

(c) To determine whether it would be unusual for 66 of the 100 adults surveyed to believe that the overall state of moral values is poor, we need to consider the concept of unusual or statistically significant values.

Since we know the mean (62) and standard deviation (approximately 4.15) of the distribution, we can calculate the z-score for 66 using the formula:

z = (x - μ) / σ

where x is the observed value (66), μ is the mean (62), and σ is the standard deviation (approximately 4.15).

z = (66 - 62) / 4.15 ≈ 0.964

Next, we can compare the calculated z-score to the standard normal distribution to determine if it is considered unusual. Assuming a significance level of 0.05 (commonly used), we look up the z-score in the standard normal distribution table or use a statistical calculator.

The z-score of 0.964 corresponds to a p-value of approximately 0.166, which is greater than 0.05. Therefore, it would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor.

In summary:

The mean of X, the number of adults who believe that the overall state of moral values is poor, is 62. The standard deviation is approximately 4.15.

For every 100 adults, the mean is the number of them that would be expected to believe that the overall state of moral values is poor. In this case, 62 adults, on average, would be expected to believe so.

C. It would not be considered unusual if 66 of the 100 adults surveyed believed that the overall state of moral values is poor, as the calculated z-score of 0.964 corresponds to a p-value greater than 0.05.

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Question : find the measure of angles x and y
show your work and write a sentence staring the answer​

Question : find the measure of angles x and yshow your work and write a sentence staring the answer

Answers

Answer:

x = 53°, y = 42°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 given angles from 180° for x

x = 180° - (37 + 90)° = 180° - 127° = 53°

48° + y = 90° ( subtract 48° from both sides )

y = 42°

Find three consecutive odd integers such that the difference of thrice the smallest and twice the largest is -19

Answers

Answer:

The odd integers are -11, -9, -7

Step-by-step Explanation:

Let the three consecutive odd integers be x, x + 2 and x + 4 because odd integers are in the gap of 2.

GiveN:

The difference of thrice the smallest and twice the largest is -19\(.\)

This can be written as:

➛ 3(x) - 2(x + 4) = -19

➛ 3x - 2x - 8 = -19

➛ x - 8 = -19

➛ x = -11

Then:

The consecutive odd integers are:

x = -11x + 2 = -9x + 4 = -7

the confidence interval estimate of the population mean is constructed around the sample mean. a. true b. false

Answers

After analyzing the given question we reached the conclusion that the given statement is true.

When estimating a certain population parameter for instance mean there is a computation of confidence interval to get a sense of the precision of the estimate.

A population parameter is a sequence that presents like  an entire group or population. It is majorly used in inferential statistics to measure the nature and features of the given population. Examples of  population parameter are mean, variance, standard deviation.

A confidence interval refers to a range of values above and below the point estimate within which the true value of the population stays with a certain optimized level of confidence.

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Approximately what percent of the values in a distribution lie between the 25th percentile and the 75th percentile? A. 75%. B. 25%. C. 50%.
D. 60%.

Answers

Option C. 50%. The interquartile range (IQR) is the difference between the 25th percentile (Q1) and the 75th percentile (Q3) of a distribution, and it contains the middle 50% of the data.

Approximately half of the data values in a distribution lie between Q1 and Q3. This range provides valuable information about the spread of the data and helps identify potential outliers. By knowing the IQR, one can make informed decisions about the data and gain a better understanding of the population it represents. This is useful in understanding the spread of data and identifying outliers. Knowing the IQR can help in making decisions about the data and the underlying population it represents.

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help me with this question please

help me with this question please

Answers

Answer:

N+1

Step-by-step explanation:

It begins with = 2

then n+1=3

then n+2=4 and so on it is n+1

You have a function that takes in an X value and produces a Y value. The x value equals 7 times the y value, plus 18 more. What's the x value when the y value equals 6?

Answers

X=33 is the answer to this question!!!

Victoria and Michael paid a $150 application deposit for an apartment. Their monthly rent is $2,200. They are required to provide a credit report that costs $35 and pay a security deposit equal to 1 month’s rent. The first and last month’s rent are due at the time of signing the lease. The broker charged 2.5% of the yearly rent. Find the cost to move in.

Answers

The cost to move in for Victoria and Michael is $7,645.

The cost to move into the apartment for Victoria and Michael can be found by calculating the sum of the application deposit, credit report cost, security deposit, first and last month's rent, and the broker fee.

Using the given information:

$150 is the application deposit

$35 is the cost of the credit report

Security deposit is 1 month's rent which is $2,200

First and last month's rent are also $2,200 each.

Thus, the total amount for these two months will be $4,400

The broker charged 2.5% of the yearly rent.

The yearly rent is $2,200 × 12 months = $26,400.

Therefore, the broker fee will be 2.5% of $26,400 which is $660.

Total cost to move in = $150 + $35 + $2,200 + $2,200 + $660 + $2,200 = $7,645

Therefore, the cost to move in for Victoria and Michael is $7,645.

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In a survey of 300 adults, 15% didnot know how to ride a bike. Howmany people is this?ble problem?

Answers

To determine how many people out of the 300 surveyed did not know how to ride a bike, you have to calculate the 15% of 300.

You can use cross multiplication to do so:

100%____300 people

15%_____x people

Both relations have to be at the same ratio so that

\(\frac{300}{100}=\frac{x}{15}\)

Multiply both sides by 15 to determine the value of x:

\(\begin{gathered} 15\cdot\frac{300}{100}=15\cdot\frac{x}{15} \\ 45=x \end{gathered}\)

This means that out of the 300 people surveyed, 45 did not know how to ride a bike.

plz help me
Dan plans to use $10 less than three-fourths of his allowance to buy a new video game. If the purchase price of the game is $50 how much is his allowance?
plz I really really need help

Answers

Answer:

$80

Step-by-step explanation:

So the game costs 10 less then 3/4ths

Find 3/4ths by adding 10 to 50.

60=3/4

Divide both sides by 3

20= 1/4

Multiply by 4

80= 4/4

80= 1 allowance

Answer: $80

Step-by-step explanation:

First you would take the $10 and add it to $50 to make three-fourths of his allowance. That would give us $60 and 60 divided by 3 would be 20. Then we would add $20 to $60 and give us his allowance which would be $80. Hope this helps!

someone please help. which triangles are similar to ABC? triangle A, triangle B, both or neither?

someone please help. which triangles are similar to ABC? triangle A, triangle B, both or neither?

Answers

Answer: I think neither

Step-by-step explanation:

Answer:

Neither

I hope this helps!

Johnson stock is currently selling for $40. The expected dividend is $2. This is a constant growth firm. If investors require a return of 15% on this stock, determine the growth rate of stock.​

Answers

The growth rate of the stock is 2.5%.

The calculation to determine the growth rate of the stock can be done using the Gordon Growth Model formula:
Dividend per share / Required rate of return - A growth rate

Plugging in the given values, we get:
$2 / 0.15 - Growth rate = $40

Solving for the growth rate, we get:
Growth rate = 0.025 or 2.5%

Therefore, the growth rate of the stock is 2.5%.

It is important to note that the Gordon Growth Model assumes that the growth rate is constant indefinitely, which may not always hold true in the real world.

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Evaluate yz + x² x=3.2, y=6.1, z=0.2

Answers

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

WILL GIVE BRAINLIEST!!! SELECT MULTIPLE ANSWERS!!!

WILL GIVE BRAINLIEST!!! SELECT MULTIPLE ANSWERS!!!

Answers

Step-by-step explanation:

soory i can't give an answer

Evaluate ∫ ∫ (x² + y²)dx dy over the region in the positive quadrant which x+y≤1.

Answers

The given double integral is ∫ ∫ (x² + y²)dx dy, and we need to evaluate it over the region in the positive quadrant where x+y≤1.

To evaluate this double integral, we can first determine the limits of integration for both x and y based on the given region. In the positive quadrant, x and y both range from 0 to 1.

Now, integrating the inner integral with respect to x, we get:

∫ (x² + y²)dx = (1/3)x³ + y²x + C1,

where C1 is the constant of integration.

Next, we integrate the resulting expression with respect to y:

∫ [(1/3)x³ + y²x + C1] dy = (1/3)x³y + (1/3)y³x + C1y + C2,

where C2 is another constant of integration.

Finally, we evaluate this double integral over the given region by substituting the limits of integration:

∫∫ (x² + y²)dx dy = ∫[0 to 1] ∫[0 to 1-x] (x² + y²)dy dx.

Performing the integration, we can find the numerical value of the double integral within the given region.

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GHJU is a rhombus. how could you prove that <3~=<2? this doesn’t have to be a formal proof, just a basic outline of an augment. how would you approach this proof?

GHJU is a rhombus. how could you prove that &lt;3~=&lt;2? this doesnt have to be a formal proof, just

Answers

Answer:

Angle 3 is equal to Angle 2 because when you have a rhombus, the diagonals will always bisect the angles.

Step-by-step explanation:

HELPP due at 11:20!!

HELPP due at 11:20!!

Answers

Answer:

try B if not maybe C

Step-by-step explanation:

Pls somone help plssssss

Pls somone help plssssss

Answers

Answer:

D

Step-by-step explanation:

Answer:

4w=80

Step-by-step explanation:

4 loaves of bread weigh w ounces

so 4 times w will equal the total weight of 80

Answer two questions about Equations A and B:
A. 5= -2(x - 1)
B. 5 = -22 + 2
1) How can we get Equation B from Equation A?
Choose 1 answer:

Answer two questions about Equations A and B:A. 5= -2(x - 1)B. 5 = -22 + 21) How can we get Equation

Answers

Answer:

part 2 is A: yes

Step-by-step explanation:

Option B is correct.

We have the two following equations -

A.   5 = -2(x - 1)

B.   5 = -2x + 2

We have to find out how can we get Equation B from Equation A?

State the distributive property.

According to the distributive property -

a(y + z) = (a x y) + (a x z)

According to the question -

We have -

-5 = -2(x - 1)

Using the distributive property, we can rewrite the right hand side as follows -

-5 = -2(x - 1) = ( -2x ) + (2) = -2x + 2

Hence, option B is correct.

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Calculate the average rate of change in temperature between 8:00 am and 11:00 am. round your answer to two decimal places. a. 4.33° c. 4.64° b. 5.36° d. 3.26°

Answers

The average rate of change of temperature between 8:00 and 11:00 is given as 4.33 degrees.

How to solve for the rate of change of temperature

Now we are to find the change in temperature between the two hours stated in the question.

These hours are 8 00 and also 11 00.

Now at 8.00 the temperature is at 82

Then at 11 00 the temperature is at 95

Then the rate of change between these temperatures would be given as

95 - 82 / 3 hours

we have three hours in between both periods

= 4.33

the average rate of change in temperature between 8:00 am and 11:00 am is 4.33

Complete question

Solve the problem.

7)

7) The following table gives the outside temperature in degrees Fahrenheit on a winter day in Death Valley, California.

Time | 7:00 am 8:00 am | 9:00 am | 10:00 am | 11:00 am

Temperature (°F)||

78

82

85

91

95

Calculate the average rate of change in temperature between 8:00 am and 11:00 am. Round your answer to two decimal places when appropriate.

A) 5.36°F

B) 3.26°F

C) 4.64°F

D) 4.33°F

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Answer:

A) 4.33

Step-by-step explanation:

Please make sure you answer both parts of the question. Remember to properly format your function.The hat that George bought turned out to previously belong to a magician! Initially, 3 rabbits hopped out of the hat. Each day after that, double thenumber of rabbits from the previous day appeared.1: Write an exponential function that can be used to model this function.2: How many rabbits appeared on the 13th day?

Answers

Solution

Question 1:

\(\begin{gathered} \text{ On day 1, 3 rabbits hopped out} \\ \text{ On day 2, }3\times2=6\text{ rabbits hopped out} \\ \text{ On day 3, }3\times2\times2=3\times2^2\text{ rabbits hopped out} \\ \text{ On day 4, }3\times2\times2\times2=3\times2^3\text{ rabbits hopped out} \\ \\ \text{Following this pattern, we can find the number of rabbits that will hop out on a day n.} \\ \\ \text{ On day }n,3\times2\times2\times2\ldots\times2=3\times2^{n-1}\text{ rabbits hopped out} \\ \\ \text{Thus, the exponential function to model this scenario is given below as } \\ \\ f(n)=3\times2^{n-1} \end{gathered}\)

Question 2:

\(\begin{gathered} \text{The question is asking for the number of rabbits that will hop out on day 13} \\ \text{ We can simply apply our formula and this implies that }n=13 \\ \\ \therefore f(13)=3\times2^{13-1} \\ \\ f(13)=3\times2^{12}=12,288 \\ \\ \text{Thus, the number of rabbits that will hop out of the hat on the 13th Day is 12,288} \end{gathered}\)

Final Answer

Question 1:

The exponential function to model the scenario is

\(f(n)=3\times2^{n-1}\)

Question 2:

The number of rabbits that will hop out of the hat on the 13th Day is 12,288 rabbits

pay:11.71 per hour
hours:11 hours per week​

pay:11.71 per hourhours:11 hours per week

Answers

Week = 128.81
Month = 515.24
Year = 6182.88
I believe this is all correct :)

Answer:

$128.81 per week

$515.24 per month

$6182.88 per year

Step-by-step explanation:

\(\frac{11.71}{y} :\frac{1}{11}\)

y = 128.81

\(\frac{128.81}{y} :\frac{1}{4}\)

y = 515.24

\(\frac{515.24}{y}: \frac{1}{12}\)

y = 6182.88

Okay so I’m doing graph questions, so “what’s f(x) = 3x + 5” and what are the blanks?

Okay so Im doing graph questions, so whats f(x) = 3x + 5 and what are the blanks?

Answers

Answer:

So, plug in those x values for "x" in the expression f(x)

0, 5

1, 8

2, 11

3, 14

4, 17

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Revise the moment diagram, if needed. What you know is that the moment values at the solid dot, Mg -10, Mc-25, Mp=50) are correct in his moment diagram. Provide sashed line if necessary (c) What is w? Can we solve it? If so, provide and detail procedure. Or, do we need more information? an ecologist named mark wants to control water pollution at a source that has biodegradable pollutants. which method should mark use? a. biological action b. carbon sequestration c. incineration d. conversation tillage A line passes through the points (-2,-4) and (3,5). Which equation best represents a line parallel to this line?Oy=* +4Oy=-x+4Oy= -x + 4Oy= 1x + 4 Concept Check The table represents a linear function f. (a) Find the slope of the graph of y = f(x). (b) Find the y-intercept of the line. (c) Write an equation for this line in slope-intercept form. X -2 -1 0 1 2 3 y -11 -8 -5 -2 1 4 West-Coast Business Software (WBS) just reported $24 million total net income. The firm has 10 million shares outstanding. Analysts expect that WBS can sustain a long-run return on reinvestment (RIR) of 15%. The firms cost of capital is 12%. a. What are the firms earnings per share (EPS)? Suppose WBS pays a dividend of $1.60 per share. What is the pay-out ratio? b. Given the pay-out ratio calculated in part a), what is the expected rate of dividend growth? What is the value of the firms stock? c. How would the answer to part b) change if WBS instead followed a policy of paying only 1/3 of earnings as dividends? Suppose that the treasurer of IBM has an extra cash reserve of $100,000,000 to invest for six months. The interest rate is 10 percent per annum in the United States and 9 percent per annum in Germany. Currently, the spot exchange rate is 61.08 per dollar and the six-month forward exchange rate is C1.06 per dollar. The treasurer of IBM does not wish to bear any exchange risk. Where should he or she invest to maximize the return? A colleague receives a significant reward for work you accomplished together, but you do not receive a similar reward. What impact might that have on you according to the article, which of the following statements must be true regarding profit maximization in the short run? check all that apply. fully simplify only sing positive exponents: 3xy^2/9x^8y^6 Which of the attributes below are shared by both rhombuses and rectangles? Select all that apply.A) 4 sidesB) 4 right anglesC) All sides of equal lengthD) 2 sets of parallel sides Suppose there are only two firms that sell tablets, Padmania and Capturesque. The payoff matrix below shows the profits (in millions of dollars) each company will earn depending on whether it sets a high or low price for its tablets. For example, the lower-left cell shows that if Padmania prices low and Capturesque prices high, Padmania will earn a profit of $15 million and Capturesque will earn a profit of $2 million. Assume this is a simultaneous game and Padmania and Capturesque are both profit-maximizing firms. CapturesquePadmania high price low pricehigh price 11,11 2,15low price 15, 2 8, 81. If Padmania prices high, Capturesque will make more profit if it chooses a _____ price, and if Padmania prices low, Capturesque will make more profit if it chooses a _____ price.2. If Capturesque prices high, Padmania will make more profit if it chooses a _____ price, and if Capturesque prices low, Padmania will make more profit if it chooses a _____ price.3. Considering all of the information given, pricing low _____ a dominant strategy for both Padmania and Capturesque.4. If the firms do not collude, what strategies will they end up choosing?a. Both Padmania and Capturesque will choose a low price.b. Padmania will choose a high price and Capturesque will choose a low price.c. Both Padmania and Capturesque will choose a high price.d. Padmania will choose a low price and Capturesque will choose a high price.5. True or False: The game between Padmania and Capturesque is an example of the prisoners' dilemma. Why are scientists able to learn about the ancient atmosphere by studying the rocks that came into contact with the ancient atmosphere?