Find the sum of exterior angles of a 16-gon. (explain your answer for full credit)

Answers

Answer 1

Answer:

Whatever the number of sides of a polygon, the sum of its exterior angles is always 360∘ Further, each pair of exterior angle and interior angle adds up to

180∘ Hence in a polygon with n sides (or angles), the sum of all the interior and exterior angles would be 180∘ * n and sum of interior angles would be 180∘ * n - 360 = 180∘ (n - 2) Hence sum of interior angles of a convex 16-sided polygon would be 180∘ * (16 - 2) = 180∘ * 14 = 2520∘

(By The Way ∘ = Degrees)

(I hope this helps!)


Related Questions

Find all values of k so that Polynomial Can be factored using integers
X^2 - 8x + k, k > 0

Answers

Answer:

the crisis point b 2000 white white x converse

CAN SOMEONE HELP ME PLEASE

Answers

step bro says you need help





what do you need help with

Answer:

138 for both of them

Step-by-step explanation:

Pls help now hurry have to turn in soon

Answers

3.13 the answer is y=-x-2 (d)
3.14 the answer is 8 (c)
3.15 the answer is 9 (d)
3.16 the answer is 0 (a)
3.17 all the answers are correct with the exception of y=x/0 (second one)
3.18 I think all of them

Round 54, 842 to the nearest hundred.

Answers

Answer:

55,000

Step-by-step explanation:

if u mean 54 and 842

54=50

842= 800

Answer:

54,800 is the correct answer.

1) Find the area of a triangle with a height of 9 cm and a base of 5 cm.​

Answers

Step-by-step explanation:

area of triangle=1/2 base×height

1/2,×5×945/222.5cm²

stay safe healthy and happy..

A teacher buys some pencils.
• He buys 2 pencils for each of his students.
• He buys 10 additional pencils.
• Each pencil costs $0.10.
Which equation describes the total amount of money
(y), in dollars, that the teacher spends on pencils as a
function of the number of students (x) he has?

Answers

Answer:

y=2x(.10)

Step-by-step explanation:

I think this is correct but it is 0.10 times 2 because it is 2 pencils/student and each pencil cost 10 cents. We multiply by x because we need to have 2 for each student

Please help me with this one

Answers

Answer:

40 degrees

Step-by-step explanation:

The measurments of corresponding angles in similar shapes are equal.

<C=<Z

<C=180-40-100=40

<Z=40

Grace and her friends are playing a game that uses two dice. Each die is a tetrahedron – a four‐sided shape with each side an equilateral triangle. Each side of the die contains one of the digits 1, 2, 3, or 4.
pls. i rlly need answers. for an assignment.
a. Create the sample space of all possible outcomes if you were to roll the two dice
simultaneously. List the digit on the first die first and the digit on the second die
second (i.e. 1,1; 1,2; and so on.) (10 points)
b. What is the theoretical probability that the sum of the two numbers on a roll will
be five? (2 points)

Answers

I need more information

can someone plz help me on this plz I beg u

Answers

Answer:

option A is the correct answer

Answer:

A, 62+x=90

Step-by-step explanation:

Complementary angles are two angles that add up to 90.

Circles:Question 6
In the diagram above, how many lines can you draw that
are tangent to both circles?

Answers

Answer: 1

Step-by-step explanation:

Given

Two circle touch each other internally at a certain point

Whenever two circles touch each other, they can have only one common tangent.

This is depicted by the diagram shown below where a single single line is tangent to both the circles.

please help me with full calculations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

please answer accurately with a full explanation and please don't do short answers thank u, and if u spam this question u will be reported. please answer with a proper answer, not a short one thank u so much

Answers

Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

Pls help fast will give brainliest

Answers

Answer:

y= -2x+ 5

Step-by-step explanation:

parallel with y= -2x+ 1 means the lines have the same slope m= -2

from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)

y= mx+b is the general formula

y= -2x+ 5

the population of a city is 10,000 people. A researcher wants to estimate how many people own a car and how many don't. The researcher surveys a random sample of 240 and records and these results. 180 people do own a car and 60 people don't. estimate the number of people that do own a car and don't, round to the nearest 500

Answers

Answer:

7380 people have cars and 2460 people dont so rounded to the nearest 500 i would say it is 1000

Step-by-step explanation:

tell me if im right please

What is the product of 3800 and 9.9 * 10^5 expressed in scientific notation?

Answers

Answer:

9.938*10^5

Explanation:

Multiply the numbers

3800+990000

Add the numbers

993800

Solution

993800

9.938*10^5

can someone help me and you need to round to nearest whole number

Answers

Answer:

look at the picture i have sent

PLEASE NO LINKS the q/a is below

Answers

Answer:

Its letter B! y=2x+8

Step-by-step explanation:

WILL CROWN BRAINLIEST

Clara is finding a quotient using a calculator. Which value represents the quotient when 4.5 x 10^8 is divided by 9 x 10^4?

A. 0.2E-5
B. 0.2E-4
C. 5E+3
D. 5E+4

Answers

Explanation:C. The answer is C 5E +3

If m
A.140

B.60

C.50

D.40

Answers

Answer:

140

Step-by-step explanation:

Angle C = 180-A-B

C=180-80-60=40

DCA = 180-Angle C

DCA = 180-40

5/2 divided by x and y = 11/2 (what does it equal)

Answers

Answer:

wht can u explain your question a lil better

ima edit my answer

Step-by-step explanation:

mrk me brainliest

Answer:

[tex]x=\frac{5}{11}[/tex]

Step-by-step explanation:

5/2 ÷ x = 11/2

5/2 ÷ x · x = 11/2 · x

5/2 = 11/2x

5/2 ÷ 11/2 = 11/2x ÷11/2

[tex]x=\frac{5}{11}[/tex]

Which statement is NOT true?


The product of two polynomials is always a polynomial.


The sum of two polynomials is always a polynomial.


The quotient of two polynomials is always a polynomial.


The difference of two polynomials is always a polynomial.

Answers

Answer:

The quotient of two polynomials is always a polynomial.

Step-by-step explanation:

There is no guarantee that a quotient of polynomials can be expressed as a polynomial, even though it sometimes can.

Hope it is helpful....

Answer: The answer is the quotient of two polynomials is always a polynomial.

Step-by-step explanation:

Jen is planning a vacation. To help her choose a hotel, she looks at some
reviews. The table shows the number of positive reviews and the total
number of reviews for each of four hotels.
Number of
positive
reviews
Total
number of
reviews
Hotel A
60
75
Hotel B
20
29
Hotel C
57
61
Hotel D
43
48
Based on the data, at which hotel is Jen most likely to have a positive
experience?

Answers

Answer:

D

Step-by-step explanation:

It will be suitable for Jen to visit Hotel D as the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D.

What is effective value of a expression?

The effective value of a expression is the value that we get after simplifying the given expression completely. For example, consider the expression as -

2x + 4y + 3x + 2y + 5x + 3 - x + y - 4

We can find the effective value as -

(2x + 3x + 5x - x) + (4y + 2y + y) + (3 - 4)

9x + 7y - 1

Given is that Jen is planning a vacation. To help her choose a hotel, she looks at some reviews. The table shows the number of positive reviews and the total number of reviews for each of four hotels.

               Number of positive reviews                    Total number of reviews

Hotel A                   60                                                               75

Hotel B                   20                                                               29

Hotel C                   57                                                                61

Hotel D                   43                                                               48

The maximum value for the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D. So, we can conclude that it will be suitable for Jen to visit Hotel D.

Therefore, it will be suitable for Jen to visit Hotel D as the ratio of number of positive reviews to the  total number of reviews is largest for Hotel D.

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Tommy bought p boxes of 26 paperclips. He already had 35 paperclips. Now, he has 191 paperclips. How many boxes of paperclips did Tommy buy in all?

Answers

Answer:

Tommy bought 6 boxes

Step-by-step explanation:

subtract 35 from 191, and you get 156. 156 divided by 26 = 6. so 6 boxes

find the volume of the irregular figure

Answers

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

how many lines of semmetry does a rectangle have

Answers

Answer:

A rectangle has 2 lines of symmetry

Can someone please help me with this?? I’m bad at this kind of stuff heh

Answers

Answer:

14.75 in.²

Step-by-step explanation:

A = 1.5² + ½(2.5 + 1.5)(2) + 4(2) + ½(1)(1)

14.75 in.²

Answer:

Triangle=1/2BH, 1/2(1)(1)=.5

Parallelogram=BH, (4)(2)=8

Trapezoid=((B1+B2)/2)*H, ((1.5+2.5)/2)*2-->(4/2)*2=4

Square=BH, (1.5)(1.5)=2.25

.5+8+4+2.25=14.75

Step-by-step explanation:

Find the measures of the exterior angles of the polygon.

Answers

Answer:

D : 125°,125°,55°,55°

Step-by-step explanation:

Finding the interior angles makes the question easier.

The two base angles for b1 are both 125°, and the two base angles for b2 are both 55°.

Because a straight line is 180°, we can find the exterior angles by subtracting the interior angles from 180°.

180°-55° = 125°

180°-125° = 55°

plz help asap.. I have no clue how to do this.

Answers

Answer:

Tn=a + (n-1)d

a= first term = 14

n= This is the term you're looking for... In this case... That's the 73rd term

d=Common difference (since its an AP)

d= second term - first term -- Or 3rd term - 2nd term = 23-14

d=9

T = 14 + (73-1)9

T= 14 + (72)9

T= 14 + 648

T=662.

The 73rd term would be 662.

1 term is +9

10 terms is +90

90x7=630

9x2=18

630+18=648

648+14=662

Determine the scale factor for A ABC to A A'B'C:


A. 1/2
B. 10
C. 5
D. 2

Answers

D. 2 because scale factor is where you multiply the components of an object, in this case ABC. You are given AC which is 5. The only way 5 could get to 10 is if it is added by 5 or multiplied by 2. We’re using multiplication in this problem so the answer is 2.

The required scale factor of the ΔABC to ΔA'B'C' is 2. Option D is correct.


The scale factor of the ΔABC to ΔA'B'C' is to be determined, while one of each side of the triangle has lengths 5in and 10 in respectively.

What is the scale factor?

The scale factor is defined as the ratio of modified change in length to original length.

What are Similar triangles?

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

Since the scale factor only applies to similar shapes so as the two triangles are similar then the ratio of the side will describe the scale factor between two triangles.

Scale factor = A'C'/AC
                  = 10 /5
                  = 2 in

Thus, the required scale factor of the ΔABC to ΔA'B'C' is 2. Option D is correct.

Learn more about line Scale factor:
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11. Keng creates a painting on a rectangular canvas with a width that is four inches longer
than the height, as shown in the diagram below.

L= h +4 and H = h


A. Write a polynomial expression, in simplified form, that represents the area of the
canvas.

Keng adds a 3-inch-wide frame around all sides of his canvas.

B. Write a polynomial expression, in simplified form, that represents the total area of the canvas and the frame.

Answers

Part A

Answer:  h^2 + 4h

-------------------

Explanation:

We multiply the length and height to get the area

area = (length)*(height)

area = (h+4)*(h)

area = h(h+4)

area = h^2 + 4h .... apply the distributive property

The units for the area are in square inches.

===========================================================

Part B

Answer:  h^2 + 16h + 60

-------------------

Explanation:

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Similarly, along the vertical side we'd have the h go to h+3+3 = h+6

The old rectangle that was h by h+4 is now h+6 by h+10

Multiply these expressions to find the area

area = length*width

area = (h+6)(h+10)

area = x(h+10) ..... replace h+6 with x

area = xh + 10x .... distribute

area = h( x ) + 10( x )

area = h( h+6 ) + 10( h+6 ) .... plug in x = h+6

area = h^2+6h + 10h+60 .... distribute again twice more

area = h^2 + 16h + 60

You can also use the box method or the FOIL rule as alternative routes to find the area.

The units for the area are in square inches.

The area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

What is an area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Keng is painting on a rectangular canvas with a width that is four inches longer than the height,

w = h+4, height = h

Area = (length)x(height)

area = (h+4)x(h)

area = h(h+4)

area = h² + 4h

With the frame,

If we add a 3 inch frame along the border, then we're adding two copies of 3 inches along the bottom side. The h+4 along the bottom updates to h+4+3+3 = h+10 along the bottom.

Keng added a 3-inch-wide frame around the painting,

Therefore,

The h+4 will become h+4+3+3 = h+10

Similarly, along the vertical side = h+3+3 = h+6

Area = (h+10)(h+6) = h²+16h+60

Hence, the area of the canvas without the frame is h² + 4h and with frame is h²+16h+60.

Learn more about areas, click;

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