B.The sum of the measures of the interior angles of a convex polygon is given. What kind polygon is each?

B.The Sum Of The Measures Of The Interior Angles Of A Convex Polygon Is Given. What Kind Polygon Is Each?

Answers

Answer 1

Answer:

Below in bold.

Step-by-step explanation:

The formula for the number of degrees in a convex polygon of side length n is   S = 180(n - 2)

Solving for n:

n - 2 = S/180

and  n = (S/180) + 2.

1.   n = (900/180) + 2 = 5 + 2 = 7 . This is a heptagon.

2.   n = (1800/180) + 2 =  12.  A duodecagon.

3.   n = (2160/180) + 2 =   14 sided polygon.

4.    n =  (2520/180) + 2 = 16 sided polygon.

5.    n = (3420/180) + 2 =  21 sided polygon.


Related Questions

Which graph represents the function

Answers

Step-by-step explanation:

Your graph will have a vertical asymptote at x = 1, as the denominator x - 1 cannot equal zero. Therefore, f(1) is not posssible. Then, plugging in test values for the function on the left side of the asymptote...

[tex]f(-1) = \frac{2(-1)-1}{-1-1} = \frac{3}{2}\\f(0) = \frac{2(0)-1}{0-1} = 1\\f(2) = \frac{2(2)-1}{2-1} = 3\\f(3) = \frac{2(3)-1}{3-1} = \frac{5}{2}[/tex]

... you will find that your graph needs to include the following points:

[tex](-1, \frac{3}{2})\\(0, 1)\\(2, 3)\\(3, \frac{5}{2})[/tex]

So therefore, your graph must cross through the above points, and may never cross the vertical line x = 1.


A large high school has been waging a campaign against drug use, particularly marijuana. Before the campaign began in
2007, a random sample of 100 students had their lockers checked for drugs. In 27 of the lockers, marijuana was found.
To assess if the program has been successful, another random locker check was conducted in 2017. This time, 30 out of
175 students had marijuana in their lockers. Using a = 0.05, is there evidence to suggest that the proportion of students
who are found with marijuana in their lockers has decreased?

Answers

Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the proportion has decreased.

What are the hypothesis tested?

At the null hypothesis, it is tested if the proportion is still the same, of 27/100 = 0.27, hence:

[tex]H_0: p = 0.27[/tex]

At the alternative hypothesis, it is tested if the proportion has decreased, hence:

[tex]H_1: p < 0.27[/tex].

What is the test statistic?

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.

In this problem, the parameters are as follows:

[tex]n = 175, \overline{p} = \frac{30}{175} = 0.1714[/tex]

Hence, the value of the test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.1714 - 0.27}{\sqrt{\frac{0.27(0.73)}{175}}}[/tex]

z = -2.94.

What is the decision?

Considering a left-tailed test, as we are testing if the propoortion is less than a value, the critical value is of [tex]z^{\ast} = -1.645[/tex].

Since the test statistic is less than the critical value for the left-tailed test, it is found that there is evidence that the proportion has decreased.

More can be learned about the z-distribution at https://brainly.com/question/26454209

How do you move a variable from one side of the equal sign to the other??​

Answers

Do the opposite operation. For example

The equation 4x = 3x - 8
We need to remove one set of the X variables, so you do the opposite operation and subtract 3x from both sides (NOT THE -8!) and then you end up with X = -8
Hope I helped!

Huw is paid a weekly wage.

Every week he:
saves
1/5 of his wage,

spends 70% of the money he has left on his living expenses,

spends all that remains on his social life.

One week, Huw saves £40.


How much does Huw spend on his social life?


_____%

Answers

The total amount of wage Huw has every week
= 40 x 5
= £200

As he saves £40,
so the amount of money he spends on his living expenses
= (200-40) x 70%
= £112

The amount of money he spends on his social life
= 200 - 40 - 112
= £48

The percentage of the money he spends for his social life
= 48/200 x 100%
= 24%


Leonardo knows it is 42 days until summer break. how many weeks is it until Leonardos summer break?


Answers

Answer: 6 weeks

Step-by-step explanation: 42 days in weeks would be 6 weeks

Can someone pls help me with this?? T-T

Answers

Answer:

route c on the way there

route b on thw way back

Step-by-step explanation:

route c is the 2nd shortest distance because you cant take b in the morning

the park is open in the afternoon and its the shortest availiable route back

4, raised to what power, equals 1/4

Answers

Answer:x=-1

Step-by-step explanation:

4^x=1/4

x=-1

AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides AB in a 1:2 ratio?

Answers

Answer:

Calculate the x distance from A to B and the x distance from A to X and verify that the x distance from A to X is 1/3 of the x distance from A to B.

Calculate the y distance from A to B and the y distance from A to X and verify that the y distance from A to X is 1/3 of the y distance from A to B.

Step-by-step explanation:

help please, i will mark as brainliest ​

Answers

Answer:

-2, -1, or 0

Step-by-step explanation:

Since we are finding the value of n we have to look at what it cant equal. Since n is not equal to -3 or 1 and is inbetween those values n has to be between -3 and 1, this leaves us with -2, -1, and 0 as possible values. Hope this helped!

On his first birthday, Tomás was 30 inches tall. For the next year, he grew half an
inch each month. What equation models his height during that year, y, as a
function of the number of months, x?

Answers

Answer:

[tex]y = \frac{1}{2} x + 30[/tex]

Step-by-step explanation:

y = mx + b

y is his height during that year

x is the number of months

m is the slope or rate of change, which is 1/2 inch every month

b is the y-intercept, which is 30 inches

plug everything in then you get:

y = 1/2x + 30

Answer:

y = 1/2 x + 30

Step-by-step explanation:

I took the quiz! :)

Find the volume of the cylinder, round your answer to the nearest tenth

Answers

Answer:

V≈502.65 rounding would be v = 503

You know

Step-by-step explanation:

Calculator
What is the surface area of the square pyramid represented by
the net?

Answers

Answer:

Right square pyramid

Step-by-step explanation:

A=a2+2aa2

4+h2

The dimensions of a cone are shown in the figure below. What is the approximate volume, in cubic centimeters, of the cone?​

Answers

Answer:

B or 415

Step-by-step explanation:

the volume of a cone is given by the formula V = (pi × r^2 × h/3)

where,

V = volume of the cone,

r = the radius of the cone,

h = the height of the cone.

so by just plugging in the values we get the answer which is 415

if you need any further guidance make sure to ask. :)

The Volume of Cone is 414.48 cm³.

What is Volume?

Every three-dimensional item requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object inside the confines of three-dimensional space. It is also known as the object's capacity.

We have,

radius = 6 cm

height = 11 cm

Now, slant height

= √r² + h²

= √11² + 6²

= √121+ 36

= √157

= 12.52 cm

Now, Volume of cone

= 1/3 πr²h

= 1/3 (3.14)(6)²(11)

= 1/3 (3.14)(36)(11)

= 414.48 cm³

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ7

Please help I will give
BRAINLY
5 STARS
and a THANKS

Answers

Answer:

1, 3, 5, 7

Step-by-step explanation:

the c stands for columns.

when c =1, there is 1 blue box. when c=2, there are 3 blue boxes, when c=3, there are 5 blue boxes....so on.

Answer:Day 26

Step-by-step explanation : just multiply the numbers

The distance from -6 to 1 is 7.
True
False

Answers

Answer:

true

Step-by-step explanation:

-6 to 0 is 6 "steps" on the number line add the one and that is 7

Which of the following statements about closure is NOT true?
Polynomials are closed under addition
Polynomials are closed under subtraction
Polynomials are closed under multiplication
Polynomials are closed under division

Answers

Answer:

Polynomials are closed under division is the answer.

Answer:

Polynomials are closed under division

Also:

were did you go man :(

In right triangle ABC, ∠B is a right angle and AB=72, BC=65, and AC=97.
What is the ratio of sinC?
Enter your answer as the fraction, in simplest terms, like this: 42/53

Answers

I don’t know but is the remain of in plus 8

Answer:72/97

Step-by-step explanation: took the test.

The corner store sells one of its magazines for $ 6. 75 including tax. On one weekend the store collected $ 114. 75nfrom the sale of this particular magazine. What expression can be used to find the number of magazines, n, sold by the store for that weekend?


6. 75÷114. 75=n

6. 75÷n = 114. 75

6. 75n=114. 75

6. 75 + n= 114. 75

Answers

Answer:

6. 75n=114. 75

Step-by-step explanation:

each magazine cost: $6.75 plus tax

and on weekend the store collected it sale total: $114.75?

=> 6.75n = 114.75 = 17 magazines sold

A cylinder is inscribed in a right circular cone of height 5 and radius (at the base) equal to 6. What are the dimensions of such a cylinder which has maximum volume

Answers

Answer:

I dont know

Step-by-step explanation:

(4) Each shelf in Brandon's library is 60 cm wide and has 15 books. There are 8 shelves of fiction books and 7 more shelves with non-fiction books. How many books are there in all?​

Answers

Answer:

225 books

Step-by-step explanation:

you do 15 x 8 and you get 120 then you do 15 x 7 and you get 105 then you add 120 and 105 together and your final answer is 225 books

Answer:

ANswer: 225

Step-by-step explanation:

multiply: 15 x 7 = 105 & 15 x 8 = 120

now add " 105 + 120" together

Total: (See answer above)

EASY, PLEASE HELP, ASAP

Answers

Answer:

B. 50 feet

Step-by-step explanation:

6 times 2.5 is 15

so that means 20 also has to be multiplied by 2.5

which becomes 50

Answer: B. 50 feet

Step-by-step explanation:

      We can set up a proportion. x will be the length of the second rectangle, I will have width on the bottom (denominator) and length on the top (numerator). All units are in feet:

             [tex]\frac{20}{6} =\frac{x}{15}[/tex]

      Now we will cross multiply and solve for x:

             300 = 6x

             50 = x

             x = 50

             The length of the second triangle is B. 50 feet

How do I plot these in order because I’ve tried it multiple times and I cannot get the right answer.

Answers

Answer:

This shape is somewhat like a square, I believe.

Step-by-step explanation:

1st Point: Inside the I quadrant (the top right), by moving 1 1/2 units to the right on the x-axis, and 4 units up.

2nd Point: Inside the IV quadrant (bottom right), by moving 1 1/2 units to the right on the x-axis, and 8 units down.

3rd Point: Inside the IV quadrant (bottom right), by moving 5 units to the right on the x-axis, and 8 units down.

4th Point: Inside the I quadrant, by moving 5 units to the right on the x-axis, and 4 units up.

About 40% of the boys in Walter’s school commute to school by bicycle. What is the probability that you must select at least four boys to find one boy who commutes by bicycle?

Use the table of randomly generated numbers to answer the question. The numbers 0 to 3 represent boys who commute to school by bicycle, and the numbers 4 to 9 represent boys who do not commute by bicycle.

003 448 311 790 832
265 843 608 354 736
578 994 968 895 754
660 340 085 622 968
346 353 312 544 167
978 005 371 146 607
323 337 821 617 892
976 985 448 830 409
549 804 464 597 323
147 317 789 915 267
Based on this data, the estimated probability that it will take at least four boys to find one who commutes by bicycle is (Blank Answer)

Answers

Answer:

The awnser is 0.32

Step-by-step explanation:

Hope this was helpful! Please mark as brainliest, thank you!

Hugh has to earn at least $400 to meet his fundraising goal. He has only 100 books that he plans to sell at $8 each. Which inequality shows the number of books, x, Hugh can sell to meet his goal?

20 ≤ x ≤ 400
40 ≤ x ≤ 100
50 ≤ x ≤ 400
50 ≤ x ≤ 100

Answers

Last one. He needs at least 400 dollars. So 400/8=50 books
And maximum he can sell is 100 books cause thats all he got.
It is the second to last answer

Mrs Davis invests 15,000 into a savings account that pays 7%interest for 3 years how much interest does mrs Davis earn

Answers

Answer:

  3,150

Step-by-step explanation:

The amount of interest earned by the account is found using the interest formula:

  I = Prt . . . . where P is the principal invested at rate r for t years

__

Using the given values, we find the interest to be ...

  I = 15,000×0.07×3 = 3,150

Mrs Davis earns 3,150 on her investment.

find the volume. please help i’m confused

Answers

Answer:

840in^3

Step-by-step explanation:

0.5 * b * h * length=voulme

Will mark brainlyest! Please help.

Answers

90° around the origin

hope it helps...!!!

5, one fifth, negative one fifth or 5, How do i solve this?

Answers

Answer:

[tex]k = \frac{4}{5} [/tex]

Step-by-step explanation:

We know from the graph

[tex]g(x) = - \frac{1}{5} [/tex]

and

[tex]f(x) = 1[/tex]

using the given equation we can solve

[tex] - \frac{1}{5} = k - 1 \\ [/tex]

subtract 1 from both sides so that k is isolated

[tex] \frac{4}{5} = k[/tex]

Given a sphere with radius r, the formula 4πr2 gives
O A. the volume
B. the surface area
O C. the radius
D. the cross-sectional area

Answers

Answer:

B. The surface area

Step-by-step explanation:

The answer is B. the surface area

Answer each question about the following series: 3 4.5 6 7.5 9 10.5. what is the common difference of the arithmetic sequence on which the series is based? d =

Answers

Answer:

45.6

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

In the given series 3 4.5 6 7.5 9 10.5

[tex]a_{1}=3[/tex]   ,    [tex]a_{2}=4.5[/tex]   ,   [tex]a_{3} =6[/tex]

As the series is arithmetic and in arithmetic series common difference is,

[tex]d=a_{2}-a_{1}[/tex]

[tex]d_{1} =4.5-3=1.5\\[/tex]

[tex]d_{2} =6-4.5=1.5[/tex]

So, common difference is 1.5

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