The sizes of seven exterior angles of an octagon are: 42, 110, 13, 67, 55, 11 and 53. What is the size of the eighth exterior angle?

Answers

Answer 1

Answer:

9 degrees.

Step-by-step explanation:

For ALL polygons, the exterior angles add up to 360 degrees.

Therefore the 8th exterior angle = 360 - (42+110+13+67+55+11+53)

= 360 - 351

= 9 degrees.

Answer 2

Answer:

Step-by-step explanation:

Always some of exterior angle of any polygon is 360

42 + 110 + 13 + 67 + 55 +11 + 53 + x = 360

351 +x = 360

x = 360 - 351

x = 9


Related Questions

The graphed line shown below is y = negative 2 x minus 8.

On a coordinate plane, a line goes through (negative 4, 0) and (negative 2, negative 4).

Which equation, when graphed with the given equation, will form a system that has infinitely many solutions? y = negative 2 x minus 8.

y = negative (2 x + 8)
y = negative 2 (x minus 8)
y = negative 2 (x minus 4)
y = negative (negative 2 x + 8)

Answers

Answer:

A

Step-by-step explanation:

Our given equation is: y = -2x - 8

In order to have an equation with infinitely many solutions, it needs to be the same as the given equation.

Look at the answer choices:

A) y = -(2x + 8) = -2x - 8

This is the exact same equation, which means that any solutions for the given will also be solutions for this one. That means there will be infinitely many solutions.

B) y = -2(x - 8) = -2x + 16

We can tell this is definitely not the same as the given, so eliminate.

C) y = -2(x - 4) = -2x + 8

Again, this has a +8 instead of -8, so it's not the same and wrong.

D) y = -(-2x + 8) = 2x - 8

Here, we have positive 2 as the slope instead of -2, so it's not the same and wrong.

Thus, the answer is A.

Hope this helps!

The question is wich of the 4 formulas is equivalent to

y = -2x-8

only the first option is equivalent / basically the same and would therefore give out infinite intersections/solutions

in which quadrant does the point (-5,0) lie?

A. Quadrant I
B. Quadrant II
C. Quadrant III
D. No Quadrant​

Answers

Answer: B quadrant two

Step-by-step explanation:

The answer would be B. Quadrant II

Which better describes the data set, the mean or the median? Select the answer with the best explanation. A The median, because it is in the middle of the set. B The mean, because it is closer to most of the data values than the median is. C The mean, because it is the average of all the values of the set. D The median, because it is closer to most of the data values than the mean is.

Answers

Answer:

C

Step-by-step explanation:

The mean of the data describes the data set , because it is the average of all the values of the set

What is Mean?

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the data set be represented as A

Now , the value of A is noted

And , the median of the data set is the middle term of the set

where the mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values

So , the average values of the set determines the data values as it is a compilation of all the data values

Hence , the mean of the data describes the set

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Find the volume of a cylinder with a diameter of 10 inches and a height that is
three times the radius. Use 3.14 for pi and round your answer to the nearest
tenth. (Hint: You may only enter numerals, decimal points, and negative signs in
the answer blank)

Answers

Answer:

1178.1

Step-by-step explanation:

pi*radius^2*height

The graph below shows the average daily temperatures on January 1 from 1900 to 1934 for city A.

Answers

Answer:

27 degrees

Step-by-step explanation:

The standard deviation means it can be up or down by that many degrees. The temperatures can be between 20-28 degrees. 27 degrees is the only option in this set of numbers.

Answer:

27 degrees

Step-by-step explanation:

Hope this helps!!!!

h(x) = 0.5(x+2)²-4 identify a, h, and k

Answers

Answer:

a = .5

h= -2

k = -4

Step-by-step explanation:

h(x) = 0.5(x+2)²-4

The vertex form of a parabola is written as

y = a(x-h)²+k

Where (h,k) is the vertex

h(x) = 0.5(x- -2)²-4

a = .5

h= -2

k = -4

Try it
Solve for x in this equation: a - b
= cx+d
Step 1: Subtract
from both sides of the equation.

Answers

a-b=xc+d
-d. -d
—————-
a-b-d=xc
divide by c
—————
a-b-d=x
——-
c

answer —> a-b-d/c
“a minus b minus d all divided by c”

Answer: cx

Step-by-step explanation:


In a triangle ABC, if angle B= 60° and the ratio of two sides is a: C= 2: sqrt3 + 1, then angle A=
45°
40°
35
55°

Answers

I’m pretty sure the answer is 45

A number, rounded to 2 decimal places, is equal to 45.55.
Write down the lower and upper bounds of the number,
Lower bound =
Upper bound


Answers

Final answer:

The lower bound of the number rounded to 2 decimal places is 45.54, and the upper bound is 45.56.

Explanation:

To find the lower and upper bounds of a number when it is rounded to 2 decimal places, we need to consider the two possible values that round down and round up from the given number.

In this case, the number is 45.55.

The lower bound is the number rounded down.

When we round down 45.55 to 2 decimal places, we get 45.54.

The upper bound is the number rounded up.

When we round up 45.55 to 2 decimal places, we get 45.56.

It's on the picture, could someone help me out?

Answers

Answer: separate because it would include more and you would save more

Step-by-step explanation:

first it is on sale second it would save you more money.

Answer:

the two packed because :

Step-by-step explanation:

first you need to find out the total of the two separated and for one it is £12.49 but for the second it is 50% off so 50% is a half so half of £12.49 is £6.25 so you now need to add them both together to find out how much two bottles cost separate  which is £18.74. now you need to have a look see which costs less this is the two together in the pack so the answer is you would rather buy the two packed one because they are cheaper  

Outside each house, there is a mailbox. There are 3 letters in each
of the six mailboxes. How many letters are there in total?​

Answers

Answer:

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

3 letters per mailbox. 6 mailboxes. 3 * 6 = 18. Total: 18 letters

HELP ASAP 100point's ILL GIVE YOU BRAINLIEST!!!!! 1. Which of the following questions can be used to collect statistical information? Explain why or why not for each one. (a) Who is the current president of the USA? (b) How many slices of pizza can you eat? (c) Does anyone in your family have brown eyes?

Answers

A) not statistical because there is one correct response, the presidents name.

B) not statistical , because it is a single person answering.

C) Statistical because the number can be change and be used to determine what percent of the population has brown eyes.

(a) is not statistical because there is no data you can do research on or solve for. There is only 1 president of the USA so there is no data to be solved for.

(b) is not statistical because there is no limit to how many slices of pizza you can eat. There is no data to be collected at all from this question.

(c) is statistical because people on your family could have different eye colors results in the collecting of data.

Best of Luck!

Find the area of this figure. Use 3.14 for pi. Wrote your answer as a decimal.

Answers

Answer:

854.865 square meters

Step-by-step explanation:

A=πr^2

Radius is half the diameter

33/2= 16.5

A=π * r^2      r^2   is   r*r

A = 3.14 * 16.5 *16.5 = 854.865

convert the unit of weight 3 1/2lb=?oz​

Answers

Answer:

56 oz

3 1/2 lb = 56 oz​

OR

3.5 lb = 56 oz

Answer:

52 ounces.

Step-by-step explanation:

1 pound =16 ounces. From there you can just convert. So, 3*16=48 ounces., and 1/2 pound *16 ounces equal 4 ounces.

4+48=52 ounces.

So in total, 3 1/2 pound equals to 52 ounces.

What is the volume of this solid? A triangular prism. The triangular base has a base of 10 inches and height of 7 inches. The height of the prism is 8 inches. Recall the formula V = Bh.

Answers

Answer:

280

Step-by-step explanation:

10x7 = 70

70/2 = 35

35x8 =280

Expand and simplify
X (2x – 4) + x(5x + 8)
Plz help :(

Answers

Answer:

7x^2 +4x

Step-by-step explanation:

x (2x – 4) + x(5x + 8) =

(2x^2 -4x) + (5x^2 8x) =

2x^2 -4x + 5x^2 8x =

7x^2 +4x

Look at the attached picture

Hope it will help u...

Which statement is true?
Question 10 options:

A)

|–3| = 3 and –|4| = 4

B)

|–3| = 3 and –|–4| = –4

C)

|–3| = 3 and |–4| = –4

D)

–|3| = 3 and |4| = 4

Answers

D. Hope this helps :))

Answer:

A

Step-by-step explanation:

The walls around a number make them a regular everyday number, meaning it turns negatives into positives.

So -3 becomes 3.

and -4 becomes 4.

Therefore, A is the correct answer.

Find the value of x in the triangle

Answers

Answer:

x =72

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+77+31 = 180

Combine like terms

x + 108 = 180

Subtract 108 from each side

x+108-108 = 180-108

x =72

Answer:

72⁰

Step-by-step explanation:

By angle sum property:

x + 77 + 31 = 180

x = 180 - 108

x = 72⁰

Solve for xxx. Write the smaller solution first, and the larger solution second. x^2 + 9x + 18 = 0x 2 +9x+18=0x, squared, plus, 9, x, plus, 18, equals, 0 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals

Answers

To solve the quadratic equation x^2 + 9x + 18 = 0, you'll have to find values of x that satisfy this equation.

To find the roots of the quadratic equation, we use the formula x = [-b±sqrt(b^2 -4ac)]/2a, where a, b, c are the coefficients of the quadratic equation of the form: ax^2 + bx + c = 0.

In our equation, we have:
a = 1 (coefficient of x^2)
b = 9 (coefficient of x)
c = 18 (constant term)

Substituting these values in our formula, we get:

x = [-9±sqrt((9)^2 - 4*1*18)] / 2*1,
x = [-9±sqrt(81 - 72)] / 2,
x = [-9±sqrt(9)] / 2,
x = [-9±3] / 2.

From here, we get two solutions:

For the smaller solution, we have: x = [-9 - 3] / 2 = -6.

For the larger solution, we have: x = [-9 + 3] / 2 = -3.

So, the solutions to the equation x^2 + 9x + 18 = 0 are x = -6 (for the smaller solution), and x = -3 (for the larger solution).

If mBOC = 30°, then m = 30

Answers

Answer:

330

Step-by-step explanation:

Answer:

330

Step-by-step explanation: I got it right on odyssey!

The bathysphere was an early version of a submarine, invented in the 1930s. The inside
diameter of the bathysphere was 56 inches, and the steel used to make the sphere was 1.5
inches thick. It had three 10-inch diameter windows. Estimate the volume of steel used to
make the bathysphere to the nearest whole number.
It took about
in.of steel to make the bathysphere.

Answers

Final answer:

The volume of steel used to make the bathysphere is approximately 53,481 cubic inches.

Explanation:

To estimate the volume of steel used to make the bathysphere, we need to calculate the volume of the sphere and subtract the volume of the windows. The volume of the sphere can be calculated using the formula for the volume of a sphere: V = (4/3)πr³, where r is the radius of the sphere. Since the diameter of the bathysphere is 56 inches, the radius is half of that, which is 28 inches. Converting to meters, the radius is approximately 0.7112 meters.

Now we can calculate the volume of the sphere: V = (4/3)π(0.7112)³ ≈ 0.8827 cubic meters.

The volume of each window can be calculated using the formula for the volume of a cylinder: V = πr²h, where r is the radius of the window and h is the height of the window. The radius of each window is half of the diameter, which is 5 inches or approximately 0.127 meters. The height of each window is 1.5 inches or approximately 0.0381 meters.

Now we can calculate the volume of each window: V = π(0.127)²(0.0381) ≈ 0.0024 cubic meters.

Since there are three windows, the total volume of the windows is 3 × 0.0024 ≈ 0.0073 cubic meters.

To estimate the volume of steel used to make the bathysphere, we subtract the volume of the windows from the volume of the sphere: approximately 0.8827 - 0.0073 ≈ 0.8754 cubic meters.

Finally, we convert the volume to cubic inches to estimate the amount of steel used: 0.8754 × 61023.7 ≈ 53481 cubic inches. Rounding to the nearest whole number, the volume of steel used to make the bathysphere is approximately 53,481 cubic inches.

Solve for x - 1/3 = 2

Answers

Answer:

x=2 1/3

Step-by-step explanation:

Answer:

x = 2 1/3

Step-by-step explanation:

x - 1/3 =2

Add  1/3 to each side

x - 1/3+1/3 = 2+1/3

x = 2 + 1/3

x = 2 1/3

Required
1. The distance in kilometers to Proxima Centauri, the closest star to the Earth, is
39,900,000,000,000. Write this in scientific notation.

Answers

3.99•10^13 is the answer

The equation for the distance in kilometers to Proxima Centauri is

D = 3.99 x 10¹³

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The total distance from Earth to the closest star Proxima Centauri be = D

Now , the value of distance D = 39,900,000,000,000

Now , the equation to find the scientific notation is done by calculating the number of zeros in the equation

So , The distance D has 11 zeros in it

So , the distance D can be written as powers of 10 in the form

Distance D = 399 x 10¹¹

Now , 399 can be written as 3.99 x 10²

So , the equation can be simplified as

Distance D = 3.99 x 10² x 10¹¹

Distance D = 3.99 x 10¹¹⁺²

Distance D = 3.99 x 10¹³

Therefore , the value of D is 3.99 x 10¹³

Hence , The distance in kilometers to Proxima Centauri is 3.99 x 10¹³

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What is the quotient of 9.18 divided by –3.4?

–2.7

–0.27

0.27

2.7

Answers

Answer:

-2.7

Brainliest would would be appreciated

Answer:

-2.7

Step-by-step explanation:

got 100% on it

Israel must choose two different elective classes next year. The list shows all the possible outcomes, in his order of preference Band and painting, painting and chorus, ceramics and band, band and drama, chorus and ceramics, drama and chorus

Answers

Answer:

The answer is A and C

"He had to choose between band and chorus."

"He had to choose between painting, ceramics, and drama."

Your Welcome!

Answer:

A.He had to choose between band and chorus.

B.He had to choose between painting, ceramics, and drama.

Step-by-step explanation:

In which number does the digit 8 have a value that is 1/10 times as great as the digit 8 in the number 2,980.7?

Answers

Answer:

29,807.0

Step-by-step explanation:

Just add a zero and move the decimal.

the answer is 29.807.0

Simplify.(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)
A) 2x^3 - 8x - 10
C) 2x^3 + 6x^2 + 12x - 10
B) 2x^3- 6x^2 + 12x -10
D) 2x^2- 8x - 10

(I'll give brainliest to the correct answer :3)

Answers

I'll teach you how to solve (2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)

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

(2x - 10) - (3x^2 + 10x) + (2x^3+ 3x^2)

Remove parentheses:

2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2

Simplify:

2x - 10 - 3x^2 + 10x + 2x^3+ 3x^2

Group like terms:

2x^3 -3x^2 + 3x^2 + 2x -10x-10

Add similar elements -3x^2 + 3x^2:

2x^3+2x-10x-10

Add similar elements 2x-10x=-8x:

2x^3-8x-10

Your Answer Is (A) 2x^3-8x-10

plz mark me as brainliest :)

Answer:

A

Step-by-step explanation:

Let's first expand these parentheses. Remember that when we have a negative sign in front of a parentheses, that means we're multiplying each term within the parentheses by -1:

2x - 10 -3x^2 - 10x + 2x^3 + 3x^2

Now combine like terms. Like terms are the ones that have the same degree of x: 2x and -10x are like terms; -10 is by itself; -3x^2 and 3x^2 are like terms; 2x^3 is by itself. So:

2x^3 + (-3x^2 + 3x^2) + (2x - 10x) - 10

2x^3 - 8x - 10

Thus, the answer is A.

Hope this helps!

6x + 9 = 75 jdjdkdjdjdndndnddjdk

Answers

X = 11

6x11=66

66 + 9 = 75

Answer:

x =11

Step-by-step explanation:

6x + 9 = 75

Subtract 9 from each side

6x + 9-9 = 75-9

6x = 66

Divide each side by 6

6x/6 = 66/6

x = 11

cup
00:00 -
A recipe calls for 2 fluid Ounces of cooking oil. Nadine measures the oil into a measuring cup to the
1/4 cup mark
Did Nadine pour the correct amount of oil?

A
No, she poured 1 ounce too much.
B
No, she poured 1 ounce too little
C
No she poured 0 5 ounce to little
D
Yes she pured the correct amount

Answers

Answer:

D - Yes she pured the correct amount

Step-by-step explanation:

In 1 cup, there are 8 fluid ounces.

A fourth of a cup is 2 fluid ounces.

Nadine poured the correct amount of cooking oil, since 2 fluid ounces is equal to a 1/4 cup.

The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
(Figure is not drawn to scale.)

Which of the following options is closest to the distance (in miles) between points A and B? (5 points)
Group of answer choices

2.24 miles

2.65 miles

3.74 miles

5.29 miles

Answers

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

x = 5.26

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A 30-year Treasury bond as a face value of $1,000, price of $1,200with a $50 coupon payment. Assume the price of this bond decreasesto $1,100 over the next year. The one-year holding period return is equal to:A) -9.17%B) -8.33%C) -4.17%D) -3.79% Jake ran 145 meters before lunch and 389 meters after lunch. How many kilometers did Jake run in all? 0.00534 km 0.0534 km 0.534 km 5.34 km A product has a contribution margin of $8 per unit and a selling price of $45 per unit. Fixed costs are $26,000. Assuming new technology increases the unit contribution margin by 40 percent but increases total fixed costs by $18,800, what is the new breakeven point in units? (Do not round intermediate calculations.) Multiple Choice 3,250 units 5,000 units 4,680 units 4,000 units 20 points please help meWhat information does the backstory give the audience? 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Show that the reaction is not spontaneous under standard conditions by calculating A Grx b. If a reaction mixture contains only N20 and NO2 at partial pressures of 1.0 atm each, the reaction will be spontaneous until some NO forms in the mixture. What maximum partial pressure of NO builds up before the reaction ceases to be spontaneous? c. Can the reaction be made more spontaneous by an increase or decrease in temperature? If so, what temperature is required to make the reaction spontaneous under standard conditions? A basketball player made 7 successful free throws from 9 attempts if he should complete 54 attempts, how many successful free throws are expected Salad is a mixture becausethe ingredients gowell togetherthe ingredients forma pure substancethe ingredients arenot chemcicallycombinedthe ingredients arechemicallycombined There are two categories of ultraviolet light. Ultraviolet A ( UVA ) has a wavelength ranging from 320 nm to 400 nm . 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Check all that apply.having too much schoolworkmanaging a busy schedulenot having enough money to meet a needhaving a fight with a frienddealing with parents or other family membersresponding to a demanding coach or club leadertaking a test in a difficult course3 of 3I need help ASAP!! 16. Carmen had scores of 82%, 72% and 74% on her first three tests of the term. What score willshe need on her fourth test in order to have an average of 80% on the first four tests?