11. the measures of the four angles in a quadrilateral have a ratio of 2:3:6:7.2:3:6:7. what is the measure, in degrees, of the largest of these angles?

Answers

Answer 1

The measure of the largest angle of quadrilateral is 140°.

We have given that,

the ratio of angles of a quadrilateral is 2:3:6:7.

And we have to find the largest angle of quadrilateral.

We know that the sum of all the interior angles of quadrilaterals 360°.

Let the common multiple of angles be x,

therefore  

2x + 3x + 6x + 7x = 360°

                      18x = 360°

                         x = [tex]\frac{360}{18}[/tex]

                         x = 20°

so the angles becomes,

2(20°) = 40°

3(20°) = 60°

6(20°) = 120°

7(20°) = 140°

Hence the largest of these angles is 140°.

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Related Questions

Eliza solves the equation (x-7)^2 = 25 and gets X = 12. Winnie solves the same equation and finds a different solution. What is the other solution to the problem?

Answers

Answer: 5^2

Step-by-step explanation:

5 x 5 = 25

and (x-7)^2 = 25

Is the converse of the following conditional True or False? "If a polygon is a triangle, then it has exactly three sides."


Answers

The converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."

What is the triangle?

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

A polygon has precisely three sides if it is a triangle. The opposite is also accurate.

Contrarily, a polygon is a triangle if it has precisely three sides. Both of the statements can be joined to create a biconditional because they are both true.

Thus, the converse of the following conditional True which is If a polygon is a triangle, then it has exactly three sides."

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a tree is 37.95 feet tall. what is its height in meter? use the following conversion: 1 meter is 3.3 feet

Answers

The height of tree in meter is 11.5 meter after the conversion from 37.95 feet to meter.

What is conversion factor?

A conversion factor is measurement value in numbers that is used in converting one unit to another unit by arithmetic operations.  

 

Given that a tree is 37.95 feet tall and 1 meter is 3.3 feet.

So to find 37.95 feet tree in meter we have to divide 37.95 by 3.3  

= 37.95 / 3.3

= 11.5 meter

1 meter is 3.3 feet, then 11.5 meter is 37.95 feet.

Therefore, the height of tree in meter is 11.5 meter.

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Why do we take the square root of the mean squared error to calculate the root mean squared error?.

Answers

The square in RMSE is utilized because it consistently provides a positive number for error, preventing errors from canceling one another out, and grants higher weight to values further from the target function, emphasizing locations for which the estimator is unreliable. To reverse the results of squaring, use the square root. 

What is RMSE?

The difference between values (sample or population values) predicted by a model or estimator and the values observed is typically measured using the root-mean-square deviation (RMSD) or root-mean-square error (RMSE).

The RMSD is the quadratic mean of the square root of the second sample moment of the discrepancies between expected values and observed values.

When computations are made outside of the data sample that was used for estimation, the deviations are referred to as errors (or prediction errors) instead of residuals.

The RMSD is used to combine the sizes of predictions' mistakes for different data points into a single indicator of predictive power. .

RMSD is a metric for accuracy that is used to compare the predicting mistakes of various models.

Hence, The square in RMSE is utilized because it consistently provides a positive number for error, preventing errors from canceling one another out, and grants higher weight to values further from the target function, emphasizing locations for which the estimator is unreliable. To reverse the results of squaring, use the square root. 

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The longest side of a triangle is a cm. The second side is b cm shorter than the first side. The third side is half as long as the second side.
Write an expression, in its simplest form, for the perimeter of the triangle.

Answers

Answer:

2.5a - 1.5 b or

5/2a - 3/2b

Step-by-step explanation:

a + (a - b) + 0.5(a - b) =

a + a - b + 0.5a - 0.5b =

2a - b + 0.5a - 0.5b =

2a - 1.5 b + 0.5a  =

2.5a - 1.5 b

Help me solve this question!

Answers

The volume of foam needed for the 45 cones is

v = 16,956 cm³

How much foam is needed to make 45 cones?

We know that the volume of a cone of diameter F and height H is:

V = pi*(D/2)²*H/3

Where pi = 3.14

Here we know that:

D = 12cm

H = 10cm

And we want to find the volume of 45 of these cones, so the total volume of foam needed is:

v = 45*V = 45*(3.14*(12cm/2)²*10cm/3

v = 16,956 cm³

That is the volume of foam needed.

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a cheese merchant looks again at the data set about total cheese sales, in which the sample mean is 164.5 and the sample standard deviation is 103. find the rounded upper level of the 68% confidence interval estimate.

Answers

The rounded upper level of the 68% confidence interval estimate is

164.5 ± 3.260.

Given:

a cheese merchant looks a again at the data set about total cheese of sales, in which the sample mean is 164.5 and the sample of standard deviation is 103.

μ = x =164.5

σ = s = 103

n = 987

z score at 68 % :

= 0.9945

Confidence interval CI = x + z * s/[tex]\sqrt{n}[/tex]

= 164.5 + 0.9945 * 103 / √987

= 164.5 ± 3.260

Therefore The rounded upper level of the 68% confidence interval estimate is  164.5 ± 3.260.

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​if you were trying to store a list of single digit numbers in your short-term memory, about how many should you be able to store on average? group of answer choices ​10 ​2 ​15 ​7

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If one tries to store a list of single-digit numbers in his or her short-term memory, then he will be able to store 7 numbers on average.

What is short-term memory?

Short-term memory is a concept in psychology that defines the capacity for holding a small amount of information in mind for a short interval. The concept of short-term memory is given by Atkinson-Shiffrin. The information of short-term memory can be transformed into long-term memory through rehearsal.

According to several studies, short-term memory has a space limit of 7 ± 2 chunks of information. The fact is written by a cognitive psychologist of Harvard University named George A. Miller and was published in 1956 in psychological reviews.

Hence, If one tries to store a list of single-digit numbers in his or her short-term memory, then he will be able to store 7 numbers on average.

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a university charges students $2,300 less for tuition each year to encourage them to stay in school. the tuition for freshman year is $34,000. write a regression equation for this formula, with y

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a regression equation for this formula, where x represents the number of years enrolled and y represents the tuition.

y = 34000 - 2300x

Regression is a statistical technique that connects one or more independent (explanatory) variables to a dependent variable. If there is a relationship between changes in one or more of the explanatory factors and changes in the dependent variable, it can be shown using a regression model.

The regression equation for this formula would be:

Y = 34,000 - 2,300x

where Y is the tuition cost and x is the number of years in school.

The equation states that the tuition cost for any year in school (x) is equal to the freshman year tuition cost (34,000) minus 2,300 multiplied by the number of years in school (x).For example, if x = 4 (4 years in school), then the tuition cost for that year would be 34,000 - 2,300(4) = 25,400.

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The Rodriguez family ate One-third of a pan of brownies, and they plan to divide the remaining brownies into two equal parts. They will take one part to their block party and the other part to share with co-workers. How much of the whole pan of brownies will each place get?
A model has 2 shaded parts and 1 unshaded part.

Answers

Answer:

1

Step-by-step explanation:

The equation to represent this would be (1 - (1 / 3)) / 2

1 - (1 / 3) = 2 / 3

2 / 3 / 2 = 1 / 3

based on a sample of size 41, a 95% confidence interval for the mean score of all students, μ, on an aptitude test is from 60 to 66. find the margin of error.

Answers

To find the margin of error we have to use the formula,

Margin of error =  Z * ơ / √n ,

Where

z = critical factor

ơ = population standard deviation

n = sample size

Now we have to find confidence interval

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

x+/-ME

Where margin of error ME = zr/√n

Given that;

Mean = ц

Standard deviation r = 25

Number of samples n = 41

Confidence interval = 95%

z(at 95% confidence) = 1.96

Xbar = 60.............(1)

Xbar + E = 66.........(2)

from equating both the equations we get

E= 6

and for finding the value of margin of error we know that its the half of the E

Margin of error = E/2

=6/2

=3

Therefore , the Margin of error is 3

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Math Question Attached

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The slope of the straight line is 4/5

Slope of a Line

The slope of a line is a measure of the ratio between the rise and run of that line. The slope of a line is an integral quantity used to calculate the equation of a line

In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

The slope of a line basically the change in y-coordinate with respect to change in x-coordinate.

This is easily done with a formula given as

m = y₂ - y₁ / x₂ - x₁

Taking data points from the graph attached;

A = (5, 2)B = (0, -2)

Substituting the values into the slope equation;

m = -2 - 2 / 0 - 5

m = -4 / - 5

m = 4/5

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Bicycle Parade There was a parade of bicycles and tricycles. Jackie counted the number of wheels; there were 23 wheels. Tony counted the riders; 10 children were riding. How many bicycles were there and how many tricycles?​

Answers

23 divided by 10 = 2.3

suppose x is a normal random variable with exam image and exam image find p(3.6 < x < 53.5). a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.

Answers

After using the test statistic z, P(3.6<X<53.5) = 0.967.

In the given question, suppose X is a normal random variable with mean 35 and sdev 10.

We have to find P(3.6<X<53.5).

Fro the given question,

Mean x = 35

sdev s = 10

Z = X - mu / sd

P(3.6<X<53.5) = P ( 3.6-35/10 < Z < 53.5-35/10 )

P(3.6<X<53.5) = P ( -31.4/10 < Z < 18.5/10 )

P(3.6<X<53.5) = P ( -3.14 < Z < 1.85 )

P(3.6<X<53.5) = P ( Z < 1.85) - P ( Z < -3.14)

left tail of both

P(3.6<X<53.5) = 0.9678 - 0.0008

P(3.6<X<53.5) = 0.967

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The right answer is:

Suppose X is a normal random variable with mean 35 and sdev 10. Find P(3.6<X<53.5)

sonia can paint a room in 12 hours. roman can paint the same room in 15 hours. how long does it take for both sonia and roman to paint the room it they are working together

Answers

It will take 7 hours to paint a room when Sonia and Roman works together.

Given,

Time taken by  Sonia to paint a room = 12 hours

Time taken by Roma to paint the same room = 15 hours

We have to find the time taken by both of them to paint the room if they work together.

Here,

Sonia takes 12 hours

Roman takes 15 hours

LCM of 12 and 15 = 60

12 × 5 = 60

15 × 4 = 60

Total number of works is 60

Now,

Number of works done by Sonia = 5 in an hour

Number of works done by Roman = 4 in an hour

So,

5 + 4 = 9 work can be done by them together in an hour

Then,

Time taken to complete 60 works;

60/9 = 6.66 ≈ 7 hours

That is,

In 7 hours Sonia and Roman paint a room together.

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Please help I’m timed
If g(n) varies inversely with n and g(n)= 10 when n=3 then find the value of n when
g(n)= 3
Round final answer to the tenths place. If answer is a whole number then put a zero
in the tenths place before entering your answer. Work must be shown for this
problem in order to receive any credit.

Answers

The value of n when the function g(n) assumes a value of 3 is of:

n = 10.

What is a proportional relationship?

In the case of an inverse proportional relationship, as is the case in this problem, the output variable y is obtained as the division of the constant of proportionality k by the input variable x, as follows:

y = k/x.

Considering the variables in this problem, the equation is given as follows:

g(n) = k/n.

g(n)= 10 when n=3, hence the constant is obtained as follows:

10 = k/3

k = 3 x 10

k = 30.

Hence the equation is:

g(n) = 30/n.

When the input variable n when g(n) = 3 is obtained as follows:

3 = 30/n

3n = 30

n = 30/3

n = 10.

(we replaced the output variable g(n) by it's value and solved for the input variable)

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Select the equation of the line that passes through (3, 4) and (-1, -4).

y= -1/2x+2

y=2x+2

y=2x-2

y=-1/2x+4

none of the above

Answers

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

What is the equation of a line passing through two points?

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).

Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

The points are (3, 4) and (-1, -4). Then the equation of the line is given as,

(y + 4) = [(4 + 4) / (3 + 1)](x + 1)

y + 4 = 2(x + 1)

y = 2x + 2 - 2

y = 2x - 2

The equation of the line that passes through (3, 4) and (-1, -4) will be y = 2x - 2. Then the correct option is C.

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Calculate the margin of error for a ampling ditribution that ha a ize of 36 for a 93% confidence level. The population tandard deviation i known to be 12

Answers

The margin of error for a sampling distribution is found as 3.34.

Explain the term margin of error?The margin of error, sometimes known as the confidence interval, provides information on how closely your survey results will likely reflect the opinions of the general community. Keep in mind that conducting surveys requires you to strike a balance by using a smaller group (the survey respondents) to represent a much broader one.

Margin of error = z × σ/√n

n = sample size (36)σ = population standard deviation  (12) z = z-score

Thus, put the values;

z-score for 93% confidence level = 1.67

Margin of error = 1.67 ×12/√36

Margin of error = 3.34

Thus, the margin of error for a sampling distribution is found as 3.34.

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a woman decides to purchase a $23,800 car and makes a down payment of $3,500. she arranges to borrow the remainder from a bank that will charge her 4.5% interest. she will make monthly payments for 4 years. a. find her monthly payment amount.

Answers

The monthly payment amount a woman has to pay for the car is $462.91.

Here we have to find the monthly payment amount.

The cost of car = $23,800

Down payment = $3,500

Rate(r) = 4.5%

time(t) = 4 years

Periodic interest(i) = 0.045/12

Formula to calculate monthly payment:

A = P i( 1 + i[tex])^{n}[/tex] / ( 1 + i[tex])^{n}[/tex] - 1

Loan amount = 23800 - 3500

                      = $ 20300

A = 20300 ( 0.045 /12 ( 1 + 0.045/12[tex])^{48}[/tex])/ (1 + 0.045/12[tex])^{48}[/tex] - 1

  = 20300× 0.004488 / 0.196814

  = 462.91

Therefore the monthly payment is $462.91.

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Convert these unlike fractions to equivalent like fractions and add them. You must use the lcd to get the answer correct. If possible, reduce the final sum. 14512.

Answers

Unlike fraction 1/7 is converted to equivalent  like fraction 2/14 and the sum of 2/14 + 3/14 = 5/14.

As given in the question,

Given fraction is equal to:

1/7=? + 3/14=?

Here there are two fractions

1/7 and 3/14

LCD( least common denominator) of 7 and 14 is equal to 14.

Now make them like fractions

1/7 is equivalent to

( 1/7) × ( 2/2) = 2/ 14

Now 2/14 and 3/14 are like fractions

Sum of like fractions is:

2/14 + 3/14

= ( 2+ 3) / 14

= 5/ 14

Therefore, the conversion of unlike fraction 1/7 to like fraction is 2/14. And sum of 2/14 + 3/14 = 5/14.

The complete question is:

Convert these unlike fractions to equivalent like fractions and add them. You must use the LCD to get the answer correct. If possible, reduce the final sum. 1/7=? + 3/14=?

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three regular dice are rolled simultaneously. if the probability that the sum of the faces is 7 can be represented by m n in simplest form, what is m n?

Answers

The probability that the sum of the faces is 7 = 15/216

The value of m = 15 and the value of n = 216

In this question, we have been given three regular dice are rolled simultaneously.

We need to find the probability that the sum of the faces is 7.

When three dice are rolled simultaneously, the total number of outcomes

n(S) = 6 * 6 * 6

n(S) = 216

Let event A: sum of the faces is 7

A = {(1, 2, 4), (1, 4, 2), (4, 1, 2), (4, 2, 1), (2, 1, 4), (2, 4, 1), (1, 3, 3), (3, 3, 1), (3, 1, 3), (2, 2, 3), (2, 3, 2), (3, 2, 2), (1, 5, 1), (5, 1, 1), (1, 1, 5)}

n(A) = 15

So, the probability that the sum of the faces is 7 = 15/216

Hence, if the probability that the sum of the faces is 7 can be represented by m/n in simplest form then m = 15 and n = 216

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a binomial experiment consists of 10 independent trials. the probability of success in each trial is 0.43. give the variance of the random variable associated with this experiment. a) 1.5656 b) 4.3000 c) 0.2451 d) 2.4510 e) 2.0736 f) none of the above.

Answers

Part (d) is correct.

i.e. The variance of the random variable associated with this given experiment is 2.4510.

What is Binomial experiment?

It is an experiment with a set number of independent trials, each having the same chance of success and the two outcomes of success or failure. A binominal distribution can be used to describe the likelihood of a certain number of successes.

Given that,

No. of independent trials ( n ) = 10

Probability of success in each trail ( p ) = 0.43

∴ probability of failure in each trial ( q ) = 0.57

we can find the variance of a binomial experiment by using the formula i.e. npq.

∴ Variance = npq

                  = 10 × 0.43 × 0.57

                  = 2.4510.

Hence, part (d) matches with the answer.

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a helicopter is lifting an 800-pound unit at a rate of 200 feet per minute. how much horsepower, of work energy, is the helicopter using in the process?

Answers

4.84 HP is the amount of work energy used.

Given info,

A helicopter is lifting an 800-pound unit at a rate of 200 feet per minute.

1 horsepower = 550 foot-pounds per second

⇒ 800 x 200 = 160,000 foot-pounds per minute

                      = 160,000/60 foot pounds per second.

Horsepower = 160,000/60 * 550 = 428/33

                                                       = 4.848 HP

Therefore, the horsepower of work energy used is 4.84 HP

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A school staff meeting had 60 teachers in attendance, 30% of whom were first-year teachers. How many first-year teachers were in the meeting?

Answers

Answer: 18
Explanation: 60 x 0.30 = 18

a sample of 17001700 computer chips revealed that 366% of the chips fail in the first 10001000 hours of their use. the company's promotional literature states that 399% of the chips fail in the first 10001000 hours of their use. the quality control manager wants to test the claim that the actual percentage that fail is less than the stated percentage. is there enough evidence at the 0.020.02 level to support the manager's claim? step 1 of 7 : state the null and alternative hypotheses. answer

Answers

After solving, the value of Test statistic z is 1.449.

In the given question,

A sample of 1700 computer chips revealed that 36% of the chips fail in the first 1000 hours of their use.

The company's promotional literature states that 39% of the chips fail in the first 1000 hours of their use.

Then we have to find the value of z statistic.

Hypothesized proportion (p) = 36%=0.36

Sample proportion (p') = 39% = 0.39

Sample size (n) = 1700

Hence,

Test statistic z

z= (0.76-0.78)/√(0.78* 0.22/900)

z= (-0.02)/√(0.78* 0.000244)

z= -0.02/√0.00019032

z= -0.02/0.0138

z = -1.449

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two poles are connected by a wire that is also connected to the ground. the first pole is 20 ft tall and the second pole is 10 ft tall. there is a distance of 30 ft between the two poles. where should the wire be anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed?

Answers

The wire should be anchored to the ground to minimize the amount of wire needed 20 ft from the left pole.

What is the quadratic equation?

ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Let x (ft) be the distance from the base of the left pole to the anchor point. Since 2 poles has a distance of 30 ft, the distance from the anchor point to the right pole is 30 - x.

The wire length from the top of the left pole to the anchor point is

[tex]L^{2} _{l} = 20^{2} + x^{2} = x^{2} + 400[/tex]

Similarly for the 2nd part of the wire

[tex]L^{2} _{t} = 10^{2} + (30 - x^{2})[/tex]

= 100 + 900 - 60x + x²

= x²+ 1000 - 60x

We want to minimize the length of the wires, or [tex]L^{2} _{l} + L^{2} _{r}[/tex]

[tex]\frac{x}{\sqrt{{x}^2 + 400} } + \frac{x - 30}{\sqrt{{x}^2 + 400}} = 0[/tex]

we can take the first derivative of this and set it to 0

x = 20

Hence, the wire should be anchored to the ground to minimize the amount of wire needed  20ft.

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Which of the following Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?statements is true about the graphs of f(x)=x and g(x)=f(x+7)?

Answers

A statement which is true about the graphs of f(x) = x and g(x) = f(x + 7) is: C. g(x) is the graph of f(x) translated 7 units to the left.

What is a translation?

In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

In Geometry, g(x + 7) or g(x) = f(x + 7) simply means shifting a graph 7 units to the left as illustrated by the graph shown in the image attached below.

In this context, we can reasonably infer and logically deduce that the parent function f(x) = x was shifted by 7 units to the left.

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Complete Question:

Which of the following statements is true about the graphs of f(x)=x and g(x)=f(x+7)?

A. g(x) is the graph of f(x) translated 7 units down.

B g(x) and f(x) have the same y-intercept.

C g(x) is the graph of f(x) translated 7 units to the left.

D g(x) is the graph of f(x) translated 7 units to the right.

Find the distance between the two points.
(3,2)
(3,0)
✓ [?]
Enter the number
that goes beneath the
radical symbol.
Enter
4

Answers

Answer:

[tex] \Large{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

Explanation:

The distance between two points is given by the following formula:

[tex] \Large{\sf d = \sqrt{(x_B - x_A)^2 + (y_B - y_A)^2}} [/tex]

Where:

d is the distance between the points.[tex] \sf (x_A \: , \: y_A) [/tex] and [tex] \sf (x_B \: , \: y_B) [/tex] are the coordinates of the points.

[tex] \\ [/tex]

First, let's identify our values:

[tex] \sf (\underbrace{\sf -3}_{\sf x_A} \: , \: \overbrace{\sf 2}^{\sf y_A}) \: \: and \: \: (\underbrace{\sf 3}_{\sf x_B} \: , \: \overbrace{\sf 0}^{\sf y_B}) [/tex]

[tex] \\ [/tex]

Now, substitute these values into our formula:

[tex] \sf d = \sqrt{\sf (3 - (-3))^2 + (0 - 2)^2} \\ \\ \sf d = \sqrt{\sf 6^2 + (-2)^2} \\ \\ \sf d = \sqrt{\sf 36 + 4 } \\ \\ \boxed{\boxed{\sf d = \sqrt{40} }} [/tex]

[tex] \\ [/tex]

[tex] \hrulefill [/tex]

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Someone answer this please

Answers

Answer:

Step-by-step explanation:

B because that is the letter of my first name!

Pam, a frequent business traveler, is considering signing up for a hotel rewards program. Hotel Elegance is currently offering 748 points for signing up, plus 86 points for every night Pam books at the hotel. Alternatively, Hotel Paradiso is offering a sign-up bonus of 734 points, plus 87 points per night. If Pam books a certain number of nights, the points she earns with either hotel will be the same. How many nights will that be? How many points will she have?

Answers

Answer:

Step-by-step explanation: x is the number of days she is booked.

List an equation

748+86x=734+87x

x=14

14 nights and plugging x into the equation 1952 points

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