Answers
Answer:
x = 37°
Step-by-step explanation:
the sum of the exterior angles of a convex polygon is 360° so the sum of all the angles must yield to 360°.
just a trial!!!!!
x+2x+x+10+x+18+3x+x-1=360°
9x=333
x= 37°
Answer:
x=37 degrees
Step-by-step explanation:
9x + 27 = 360
- 27
9x =333
x= 333/9
x= 37
Hope this helps!
Related Questions
Ben is making pink paint by mixing paint in the ratio of 5 parts red paint to 2 parts white paint. If Ben wants to make 35 cans of the mixture and all cans hold the same volume of paint, how many cans of red paint will he need? RED PAINT NOT WHITE PAINT!!!!!
Answers
Answer:
25 cans of red paint.
Step-by-step explanation:
Since the ratio of red paint to white paint is 5:2, we know that 5/7 of the mixture is red paint, because there are 5+2 = 7 parts, and 5 of the parts are red. Therefore, Ben needs 5/7 x 35 = 25 cans of red paint.
hope this helps:)
Answer:
25
Step-by-step explanation:
what is the. answer ????????,?,
Answers
Answer:
37.68
Step-by-step explanation:
Hope it helps :)))
p.s.
Didn't realize someone already answered
Use the distributive property to write an equivalent expression. 8(10p + 6q - 1)
Answers
Answer:
80p + 48q - 8
Step-by-step explanation:
Select all the expressions equivalent to (0.5p+7)+(0.3p-6)
Answers
Answer:0.8p+1 and 1+0.8p
Step-by-step explanation:
0.5p+0.3p=0.8p
7-6=+1
0.8p+1
and
Swap both numbers
(0.5p+7)+(0.3p-6)=1+0.8p
What is volume of a cylinder with base area 64pi cm² and a height equal to twice the radius? Give your answer in terms of pi.
512 pi
256 pi
1024 pi
4096 pi
Answers
Answer:
1024 pi
Step-by-step explanation:
The area formula is ...
A = πr^2
So, the radius is ...
r = √(A/π)
For the given area, the radius of the cylinder is ...
r = √(64π/π) = 8 . . . . cm
The height is said to be twice this value, so is 16 cm.
__
The volume of the cylinder is found from ...
V = Bh
where B is the base area and h is the height. Our cylinder has a volume of ...
V = (64π cm^2)(16 cm) = 1024π cm^3
what are you guys studying?
Answers
Answer:
im study about history it was my favourite subject!
9. Lanie has decided to add strength training to her exercise program. Her trainer suggeststhat she add weight lifting for 5 minutes during her routine for the first week. Each weekthereafter, she is to increase the weight lifting time by 2 minutes. How many minuteswill she be devoting to weight lifting in week 10?
Answers
We can identify the sequence, since Lanie starts with 5 min and increases by 2 every week, therefore, a possible sequence identification would be:
\(\begin{gathered} a_n=2n+3 \\ \text{Where:} \\ n=\text{Number of weeks} \\ n\in N \end{gathered}\)Evaluating the sequence for the week number 10 (n = 10):
\(a_{10}=2(10)+3=20+3=23\)1.
Match the graph with the correct equation.
A. y + 2 = –(x – 4)
B. y + 2 = –(x +4)
C. y – 2 = –(x – 4)
D. y + 2 = (x –2)
Answers
Answer:
A. y + 2 = –(x – 4)
Step-by-step explanation:
The first step is to change the equations into y format. y= mx + b.
The y- intercept of this graph is at the point (0,2). Since the line is going down, the slope is negative. Therefore it would be: y+2 = -(x-4)
If changed it would be y= -x + 2.
Hope it help
...............................................................................................................................................
From the graph it is clear that the line is passing through the points (4,-2) and (0,2).
The slope of the line is
The slope of the line is -1.
The point slope form of a line is
The required equation is y+2=-(x-4), therefore the correct option is 1.
Solve for x and show steps . Is the solution extraneous ? Check your work to show how you determined if the solution is extraneous or not
Square 4x-3=5
Answers
The solution of the equation 4x - 3 = 5 is not extraneous .
How to solve an equation?Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.
Therefore, let's solve the equation to know whether it is extraneous solution.
Hence,
4x - 3 = 5
add 3 to both sides of the equation
4x - 3 + 3 = 5 + 3
4x = 8
divide both sides of the equation by 4
4x / 4 = 8 / 4
x = 2
Therefore, it is not extraneous solution.
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You are interested in finding a 95% confidence interval for the mean number of visits for physical therapy patients. The data below show the number of visits for 11 randomly selected physical therapy patients. Round answers to 3 decimal places where possible.
13 5 10 11 26 20 18 18 24 23 5
a. To compute the confidence interval use a
t
Correct distribution.
b. With 95% confidence the population mean number of visits per physical therapy patient is between
and
visits.
c. If many groups of 11 randomly selected physical therapy patients are studied, then a different confidence interval would be produced from each group. About
percent of these confidence intervals will contain the true population mean number of visits per patient and about
percent will not contain the true population mean number of visits per patient.
Answers
For finding a 95% confidence interval:
a. To compute the confidence interval, use a t distribution with 10 degrees of freedom.b. With 95% confidence, the population mean number of visits per physical therapy patient is between 13.011 and 19.249 visits.c. About 95% of these confidence intervals will contain the true population mean number of visits per patient and about 5% will not contain the true population mean number of visits per patient.How to solve confidence interval?a) The sample mean is x = 16.13.
The sample standard deviation is s = 6.948.
The degrees of freedom are df = 10.
The critical value of t for a 95% confidence interval is t = 2.228.
The margin of error is ME = t × s/√n = 2.228(6.948)/√11 = 4.263.
The 95% confidence interval is x ± ME = 16.13 ± 4.263 = (11.867, 20.393).
b) The 95% confidence interval is (11.867, 20.393).
This means that we are 95% confident that the true population mean number of visits per physical therapy patient is between 11.867 and 20.393 visits.
c) This is because the confidence interval is a range of values that is likely to contain the true population mean. If many samples of the same size are taken from the same population, then about 95% of the confidence intervals from these samples will contain the true population mean.
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20 Points for an answer! Please help! I have unlimited tries for the practice test, but I got this one wrong from an answer on here, Letter B doesn't work for the answer, I tried that already.
Beth is planning a playground and has decided to place the swings in such a way that they are the same distance from the jungle gym and the monkey bars. If Beth places the swings at point D, how could she prove that point D is equidistant from the jungle gym and monkey bars?
Question options:
A.) If segment AC ≅ segment BC, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
B.) If segment AD ≅ segment CD, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
This one is incorrect according to my practice test I took.
C.) If segment AC ≅ segment BC, then point D is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects.
D.) If segment AD ≅ segment CD, then point D is equidistant from points A and B because congruent parts of congruent triangles are congruent.
Answers
Answer:
Well, according to the question, option D is the main answer
Find the value of x so that the line passing through (-3,7) and(x,5) has a slope of -4
Answers
Answer:
x= -5/2 or -5.2
Step-by-step explanation:
you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:
7=-4(-3)+b
now solve:
7=12+b
subtract 12 on both sides:
b=-5
now what you want to do is substitute it in and solve for x:
y=-4x-5
so:
5=-4x-5,
solve:
10=-4x
x=-5/2!!!!!!!!!!!!!!
hope this helped :)
Which equation represents the relationship shown in
the graph?
Answers
Answer:
\(y\le-\frac{1}{4}x^{2}+\frac{1}{2}x+12\)
Step-by-step explanation:
It has to have a y-int of +12 so that eliminates the first 2.
It needs to be contained inside the parabola therefore the x^2 value needs to be negative.
It needs to be shifted 1/2 to the right, therefore it needs a pos x value.
Hope that helps
what is rout 40 simplified?
Answers
M 8 meters 45° N 459 P What is the length of PN? (G.8b) (1 point) O A. 16m OB. 412m O C. 83m O D. 82m
Answers
We can find the length of PN using trigonometric relations:
So, in this case:
\(\begin{gathered} \cos (45)=\frac{8}{PN} \\ PN=\frac{8}{\cos (45)} \\ PN=8\sqrt[]{2} \end{gathered}\)
g³-h² + 8, when g = 3, h = 5
Answers
Answer:
The expression G³-h² + 8, when g = 3 and h = 5, evaluates to:
3³ - 5² + 8 = 27 - 25 + 8 = 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
3^3=27,
5^2=25,
27-25=2,
2+8=10
how do i write 2y+10x=-4 in slope intercept form
Answers
Answer:
Y=-5x-2
what is the sum of 6 foot 10 inches + 8foot 9 inches
Answers
11 feet and 7 inches is the correct answer.
There is a ratio of 5 apples to 3 pears in a basket. There are 24 pears in the basket. How many apples are in the basker?
Answers
Answer:
There are 40 apples in the basket.
This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.
I hope this helped you, have an amazing day! :)
Based upon historical data, it is known that 8% of 12-egg cartons contain at least one broken egg. A grocery store manager would like to carry out a simulation to estimate the number of cartons, in a sample of 10, that would contain at least one broken egg. What is an appropriate assignment of digits for this simulation?
Let 01-08 = the carton contains a broken egg. Let 09-99 and 00 = the carton does not contain a broken egg.
Let 09-99 and 00 = the carton contains a broken egg. Let 01-08 = the carton does not contain a broken egg.
Let 1-8 = the carton contains a broken egg. Let 9 and 0 = the carton does not contain a broken egg.
Let 9 and 0 = the carton contains a broken egg. Let 1-8 = the carton does not contain a broken egg.
Answers
This task enables a simulation that matches the historical data and precisely calculates the proportion of cartons in a sample of 10 that contain at least one broken egg.
The following would be a suitable digit assignment for this simulation:
Let 01-08 mean that there is a cracked egg in the carton.
Let 00 and 09 represent the absence of a broken egg in the carton.
With this assignment, it is guaranteed that the cartons with at least one broken egg, which correspond to the known chance of 8%, are represented by the numbers 01–08. The digits 09-99 and 00 represent the cartons without any broken eggs, reflecting the remaining probability of 92%.
This task enables a simulation that matches the historical data and precisely calculates the proportion of cartons in a sample of 10 that contain at least one broken egg.
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Please help!!!!
I will give a good rating and brainly, if it let's me.
Answers
Answer:
1
Step-by-step explanation:
Just plug in 56 as x into the function
\(f(56) = \frac{56}{28} - 1\)
\(= 2 - 1\)
\(= 1\)
NEED ANWSER ASAP PLS
a horizontal translation only
a horizontal translation and a 180° rotation
a horizontal translation and a glide reflection
a horizontal translation and a reflection across a vertical line
Answers
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
Here, we have,
the conditions for mapping the strip transformation pattern onto itself:
The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.
The second way is to reflect the strip pattern across a vertical line.
Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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complete question:
Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
Part of the pride of being an American comes from the fact that most people that want jobs have jobs. However, this is not always the case. Sometimes, as happened in 2008, the economy slows down, and jobs become harder to find or keep. Businesses make less money and so can keep fewer people employed. Those people who lost their jobs then have less money to spend. Because they have less money to spend, other businesses make less money, and then they, too, have to cut workers. In the United States, these cycles always end and the economy recovers, but it can take a while. People have to get creative about making money if they lose their jobs. Sometimes, they can use the skills they used at their old jobs to make money independently. For example, people don’t buy many car stereos when the economy is bad. So, car stereo stores have to layoff some of their stereo installers. If an installer has a place to work, that person can install stereos without a store. Often, this person will charge less than the store where he or she used to work. Also, the installer will get to keep all of the money he or she charged. At the store where the installer used to work, the store would have made most of the money. During hard times, it is important to be open-minded. There are always ways to make money outside of a formal job, if a person is willing to do things he or she wouldn’t normally do. A computer programmer, for example, might not be able to find work as a computer programmer. However, if the programmer is good with his or her hands, he or she may be able to find work in construction. Lawns never stop growing, and many aspects of life do not stop just because the economy has slowed down. A person who lost a job at a supermarket may be able to mow lawns for money, or do many other things. Most importantly, a person who loses a job must not give up. One’s attitude is very important in determining if he or she will be successful. A hopeful person is more likely to find a new job. Also, a hopeful person will
Answers
The sentence which supports the idea that people can use the skills they used at their old jobs to make money independently is "If an installer has a place to work, that person can install stereos without a store."
The correct answer option is option C
A summary about employees and American economy down timeThe essay is about American employees where people who actually needs a job gets a job. Although, this is not always the case especially when the economy slows down.
This slow down in the economy causes businesses to make less profit, thereby, making most people to lose their jobs. The purchasing power of the unemployed (people who lost their job) will reduce causing a decrease in the amount of money made by businesses. This is like a vicious cycle.
However, people who are skilled can still earn a living by doing other available jobs or those who are creative can create new jobs for themselves. For instance, an accountant can become a sales person in a supermarket if he or she lost their job.
In conclusion, a person who lost their job must be determined, hopeful and hard-working and must never give up, most importantly, they should never be idle because an idle mind is the devil's workshop.
Complete question:
Which sentence supports the idea that people can use the skills they used at their old jobs to make money independently?
Answer choices
A"So, car stereo stores have to layoff some of their stereo installers."
B"Often, this person will charge less than the store where he or she used to work."
C. "If an installer has a place to work, that person can install stereos without a store."
D. "At the store where the installer used to work, the store would have made most of the money."
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Andy is 5 feet tall. He casts a shadow of that is 9 feet long at the same time that a light post casts a shadow that is 35 feet long. What is the height of the light post? Sfeel 9 Teet 35 feet 1.3 ft 63 ft 19.4 ft 48 ft
Answers
First, we are going to draw a picture for the problem
We can formulate the following equation, given that we can use triangle similarity theorem.
\(\frac{\text{Andy height}}{x\text{ (post height)}}=\frac{\text{shadow of Andy}}{\text{Shadow of the post}}\)Replacing the values we have
\(\begin{gathered} \frac{5}{x}\text{ = }\frac{9}{35} \\ 5\cdot\frac{35}{9}=x \\ 19.4\text{ = x} \end{gathered}\)Isolating x, we get x is equal to 19.4 ft, which is the height of the post.
The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "How many hours do you work at your job on a typical workday?" Let X = the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6. A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours. Use the sample information to estimate mu , the mean number of hours a legal professional works on a typical workday. The sampling distribution of X bar is normal with a mean equal to the unknown population mean and a standard deviation of 0.7969. The 95% interval estimate of the population mean mu is LCL = _____ to UCL = _____.
Answers
Answer:
Therefore, the sampling distribution of \(\bar{x}\) is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.
The 95% interval estimate of the population mean \(\mu\) is
LCL = 7.431 hours to UCL = 10.569 hours
Step-by-step explanation:
Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.
The population standard deviation is
\(\sigma = 12.6 \: hours\)
A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.
The sample size is
\(n = 250\)
The sample mean is
\(\bar{x} = 9 \: hours\)
Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.
The population mean would be the same as the sample mean that is
\(\mu = \bar{x} = 9 \: hours\)
The sample standard deviation would be
\($ s = {\frac{\sigma}{\sqrt{n} } $\)
Where is the population standard deviation and n is the sample size.
\($ s = {\frac{12.6}{\sqrt{250} } $\)
\(s = 0.7969 \: hours\)
Therefore, the sampling distribution of \(\bar{x}\) is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.
The population mean confidence interval is given by
\(\text {confidence interval} = \mu \pm MoE\\\\\)
Where the margin of error is given by
\($ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\\)
Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.
The t-score corresponding to a 95% confidence level is
Significance level = α = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom = n - 1 = 250 - 1 = 249
From the t-table at α = 0.025 and DoF = 249
t-score = 1.9695
\(MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\\)
So the required 95% confidence interval is
\(\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569\)
The 95% interval estimate of the population mean \(\mu\) is
LCL = 7.431 hours to UCL = 10.569 hours
when solving a quadratic equation by factoring you must set y equal to what value? y=x2 + 3x - 4
Answers
Answer:
x^2 +3x -4 = 0 --> (x +4)(x -1) = 0
Step-by-step explanation:
Let's find A and B such that
A*B = - 4 and A+B = 3
Numbers are:
A = +4 and B = -1
The factoring equation is y = (x + A)(x + B)
In this specific case: y = (x +4)(x -1)
Solutions to the quadratic equation require
y = (x +4)(x -1) = 0
and hence
x +4 = 0 --> x = -4
x - 1 = 0 --> x= +1
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 42 m, find its length and width.
Answers
Assume that the width is W metre, then the length L is 2W metre.
We have 2W + 2x(2W) = 42
solve for W, we get W= 7 metre, then L = 2W = 14 metre.
Area = WxL = 7x14 = 98 metre²
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector. Write and solve a proportion to find how many robots will be approved.
Answers
Answer:595 will be approved
Step-by-step explanation:
The number of 109 of robots will be approved by the quality-control inspector.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
80.5% of 136 robots on an assembly line will be approved by the quality-control inspector.
Let n number of robots will be approved.
n = 80.5% of 136
n = 80.5 x 136 /100
n = 109.48
n ≈ 109.
Therefore, 109 robots will be approved.
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Find the surface area
Answers
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
5 Find the slope and the y-intercept represented by the equation y=x-4y=x−4
Answers
Answer:
Slope 1; Y-intercept -1
Step-by-step explanation:
The equation is written in the form of y=mx=b (slope-intercept) where m is the slope and b the y-intercept, then find the terms.