The sum of all but one interior angle of a heptagon is 776°. what is the measure of the final interior angle? 42º 56º 124º 304º

Answers

Answer 1

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

What is heptagon?

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

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Answer 2

Answer:

C. 124

Step-by-step explanation:

E2020


Related Questions

20 x 20 divided by 53 x z z=12

Answers

Answer:

90.5660377

Step-by-step explanation:

20×20÷53×12

400÷53×12

7.54716981×12

90.5660377

If you answer this question right, I'll give you (BRAINLIEST)

A social studies test has 4 true-or-false questions. The following list shows the possibilities for a student's responses to these questions.

TTTT, TTTF, TTFT, TTFF, TFTT, TFTF, TFFT, TFFF, FTTT, FTTF, FTFT, FTFF, FFTT, FFTF, FFFT, FFFF

If a student randomly guesses for all four questions, what is the probability they get all four questions correct?

Enter your answer as a fraction, like this: 3/14

Answers

Answer:

1/16

Step-by-step explanation:

To find probiblity all you have to do is divide the number of events by the number of possible outcomes

There are 16 possible outcomes

and there is only 1` way that the student can get all 4 questions right

so the answer is: 1/16

Answer:

1/16

Step-by-step explanation:

Number of possible outcomes = 16

Only one set will be the correct option

P(getting all four questions correct) = 1/16

Take look at this! Please see if you can figure it out. :(

Jeff Claims that the expression -6(2m-4) is equivalent to -12m-4. Is he correct? Explain your answer.

Thank you

Answers

well -6(2m-4) is equal to -12m+24

if you do like terms you’d do
-6(2m) and -6(-4)
-6(2m)= -12m
-6(-4)=24

so he is wrong.

Which is the slope of the line that passes through the points (-3,-2) and (1,0)

Answers

Answer:

[tex]Slope = \frac{1}{2}[/tex]

Step-by-step explanation:

Let m be the slope of the line

We can calculate the slope m this way :

[tex]m = \frac{0-(2)}{1-(-3)} = \frac{2}{4 }= \frac{1}{2}[/tex]

Which of the following is the correct factorization of the polynomial below?
x2-18
O A. (x+3)(x-6)
O B. (x-3)(x + 6)
O C. (x+3)(x2 - 4x+6)
D. The polynomial is irreducible.

Answers

Answer:

D. The polynomial is irreducible

Step-by-step explanation:

This polynomial is unfactorable. x² and 18 share no common factors. It is already in simplist form.

hope this helps :)

Simplify 5+1(-24)+(-21×1)

Answers

the answer to “5+1(-24)+(-21×1)” is: -40

Distributive Property to find (a+8)(a-3)

Answers

Answer:

[tex]a^{2} + 5a -24[/tex]

Step-by-step explanation:

For the distributive property, it is like multiplying each term by the other whole group.

For this problem we can set it up like this:

a(a-3) + 8(a-3) =

a^2 - 3a + 8a - 24 =

a^2 + 5a - 24

Find the volume of each sphere. Be sure to include appropriate units.
(Show your work)

Answers

Answer:

2145.5m^3

679.2yard

Step-by-step explanation:

v

[tex]volume \: of \: a \: sphere = \frac{4}{3}\pi \: r {}^{3} \\ when \: r = 8 \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 {}^{3} \\ volume = \frac{4}{3} \times \frac{22}{7} \times 8 \times 8 \times 8 \\ volume = \frac{4 \times 22 \times 512}{3 \times 7} \\ volume = \frac{45056}{21} \\ volume = 2145.5m {}^{3} \\ \\ for \: the \: second \: shape \\ volume = \frac{4}{3} \times \frac{22}{7} \times 5.5 {}^{3} \\ = \frac{4}{3} \times \frac{22}{7} \times 166.373 \\ = \frac{14641}{21} \\ = 697.2yard[/tex]

A base of a trapezoid is 16 feet, and the height is 3 feet. The area of the trapezoid is 36 square feet. Find the length of the other base

Answers

Answer:

8 feet

Step-by-step explanation:

Area of a trapezoid: h(a + b)/2

height, h = 3 ft

base 1, a = ?

base 2, b = 16 ft

area, A = 36 ft^2

36 = 3(a + 16)/2

72 = 3(a + 16)

24 = a + 16

8 = a

I hope this helps!

Please help me with this!!!

Answers

Answer:

Its the first one.

Step-by-step explanation:

Just subtitue in values, the only one that works is the first one.

Simplify the expression

-6 +4x+ 9 -2x

Answers

Answer:

3 + 2x

Step-by-step explanation:

combine -6 + 9 = 3

combine 4x - 2x = 2x

Combine like terms 4x-2x=2x and -6 plus 9 =3 so 2x+3

can anyone help me with this math question

Answers

12 boys

hope it helps...!!!

Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree
diagram shows all the possible outcomes that can occur.

Answers

Answer:

Step-by-step explanation:

The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.

Hope this helps you!!

I need help, if you give answer ASAP I’ll reward a lot of points!!

Answers

Answer:

A = 31.875 inches squared

Step-by-step explanation:

Area of a parallelogram is bh

b = 12 and 3/4 is just 12.75 inches

h = 2 and 1/2 is just 2.50 inches

Multiply these together and you get the area,

A = (12.75)(2.50) = 31.875 inches squared

Answer:

31.875 (31.88 rounded)

Step-by-step explanation:

A =b x h

A =12.75 x 2.5

A = 31.875

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

12.75 = 12 [tex]\frac{3}{4}[/tex]

2.5 = 2[tex]\frac{1}{2}[/tex]

If the slope of a line is undefined, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answers

Answer:

Vertical.

Step-by-step explanation:

Slope judges the vertical angle in which the line is moving, from point to point. If the line is vertical in it of itself, there will be no specific point in which you can use to define the slope. The denominator of run is always 0, and having a 0 for denominator will result in the fraction being undefined. You cannot have parts of nothing, mathematically.

Answer:

Vertical. Please consult the explanation for more details.

Solution:If the line's slope is undefined, then the line is vertical.Lines with an undefined slope have a run of zero.Remember one of the formulae for slope: Rise/Run.If the run is zero, the slope is undefined.You should be cognisant of the fact that division by zero is undefined. If not, please do not worry. Let me explain what the run is. The run is the amount of units we move left or right, or "run".The rise is the quantity of units we move up and down, or "rise".

Hope it helps.

Do comment if you have any query.

Can someone pleast help me with this
can you right a opening paragraph stateding why kids should do sports please, thanks!

Answers

You should do sport because it gives you a lot of exercise and makes your body healthy. Sports are important because it makes people happy and it shows from studies that oscillatory increases a lot from sports. Sports are fun and exciting and it boots blood flow to the brain. It controls your body weight and it even makes u gain more skills! Kids have a way of breaking bones but sports help bones strengthen. And sports help with anxiety and even depression! I think kids playing sports are a great ideas because every kid needs some fun once and a while

This week Gap is offering 40% off all shirts and 50% off all shorts. Katie purchased 3 shirts for $25.65 and one pair of shorts priced at $22.80. About how much did Rebecca pay for the sweaters and jeans before tax?

Answers

The amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

We're specified that:

Discount percent on shirts = 40%Discount percent on shorts = 50%The price of all 3 shirts = $25.65The price of one pair of shorts = $22.80

Before taxing, the price to be paid is real price (marked on the items) - discount offered on them.

Now, we get:
Price of each shirt is assumingly same, and so as for both of shorts. The discounts would be same for all shirts, and the discount will be same for all shorts.

So sum of discounted price = discount on summed price.
Thus, discoutned price of 3 shirts = 40% discount on $25.65

= $25.65 - 40% of $25.65

We get this:

[tex]25.65 - \dfrac{25.65}{100} \times 40 = 25.65 \approx 0.6 = 15.39[/tex] (in dollars)

Similarly, we get:

Discounted price of shorts=  $22.80 - 50% of %22.80 = 22.80 - 11.40 = 11.40 dollars

Thus, the total discounted price = discounted price of shirts and shorts= $15.39 + $11.40 = $26.79

Thus, the amount that Rebecca pay for the sweaters and jeans before tax for this case is $26.79

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The PE room at school has a variety of colored balls that can be used to play in the school yard. There are 16 red balls, 12 orange balls, 8 yellow balls, and 11 pink balls.
What is the probability that you are going to get a BROWN ball?

Answers

Answer:

0%

Step-by-step explanation:

There are no brown balls, so therefore it is impossible to get one.

PLEASE HELP!! 20 POINTS!!

Answers

Answer:

yea

Step-by-step explanation:

Which graph represents the solution set of this inequality?
11g-5< 49
Choose 1 answer:

Answers

Answer:

Answer choice A is the correct answer

Step-by-step explanation:

** Before you start: If anything that is < or > you shouldn't fill in the plot.

If it has ≤ or ≥then you need to fill in the plot.**

Terminology:

(>) : Greater than (Don't fill in)

(<): Less than (Don't fill in)

(≤) : Less than or equal to (Fill in)

(≥) : Greater than or equal to (Fill in)

In this case, the answer choices C and D are wrong automatically.

Your Inequality:

11g + 5 ≤ 49

Subtract 5 both sides

11g ≤ 49-5

11g ≤ 44

Divide 44 by 11

g ≤ 4

Find an answer choice that has a number greater than 4 but has a filled-in circle/plot.

Answer choice A is the correct answer

A washing machine has the following cycle: soak for 15 minutes, wash for 30 minutes, and rinse for 10 minutes. If you approach the machine at a random during the cycle, what is the probability that the cycle will be in the rinse phase when you arrive at the machine

Answers

55 : 100% = 10 : x
55x = 1000%
x = 18.18% [rinse probability]


{more things not in the question}

55 : 100 = 30 : x
55x = 3000
x = 54.54 [wash probability]

55 : 100 = 15 : x
55x = 1500
x = 27.27 [soak probability]

The distance between the school and a students house is 1 km 875 m. Everyday she walks both ways. Find the total distance covered by her in six days

Answers

She walks 1km 875m every single day and this is only one way to go school and back to home is also same
We have to convert 1km 875m into meter so 1875m. To maintain the balance we did it

Six day she goes home to school and school to home will (1875*12) meter **here 12 because she walk home to school and school to home
= 22500meter
We convert back into km and meter
So 22km and 500m

So she walked 22kilometer 500meter

whats 1784 rounded off

Answers

Answer:

1780 is the best answer

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE let

Answer:

Depends on which digit r you asking for

thousands: 2000

hundreds:  1800

tenths: 1780

units: 1784

Bill bought a certain food in which there are 300 calories in 100 g of that food. What is the number of calories in a 20 g portion of this food?

Answers

Answer:

60

Step-by-step explanation:

If there are 300 calories in 100g of Bill's food, then we can divide 5 on both  sides to find the number of calories in a 20g portion of this food: 300/5=60 calories.

One factor of f (x ) = 5 x cubed + 5 x squared minus 170 x + 280 is (x + 7). What are all the roots of the function? Use the Remainder Theorem.
x = –4, x = –2, or x = 7
x = –7, x = 2, or x = 4
x = –7, x = 5, or x = 280
x = –280, x = –5, or x = 7

Answers

The roots of the function f(x) = 5x³ + 5x² - 170x + 280 are given by x = 4, x = 2 or x = -7

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that x + 7 is the root of 5x³ + 5x² - 170x + 280, hence:

(5x³ + 5x² - 170x + 280) / (x + 7) = 5x² - 30x - 40

Hence:

(5x³ + 5x² - 170x + 280) = (x + 7)(5x² - 30x - 40)

= 5(x² - 6x - 8)(x + 7)

= 5(x - 4)(x - 2)(x + 7)

The roots are at:

0 = 5(x - 4)(x - 2)(x + 7)

x = 4, x = 2 or x = -7

The roots of 5x³ + 5x² - 170x + 280 are x = 4, x = 2 or x = -7

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Tom makes ​$296.10 in 6 days. How much does he make in 5 ​days?

Answers

answer: 246.75
math problem: 296.10/6= 49.35
49.35*5= 246.75

Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length?

Answers

1 foot because if you do 1 1/2 - 1/2 = 1

square root (5/6)^2 help i need it fast​

Answers

I think it’s just 5/6

ANWSER ASAP RIGHT ANWSER GETS BARINLIST

A land snail, a clam, and an octopus all share this body structure:

Question 22 options:

gills


muscular foot


segmented bodies


jointed appendages

Answers

Answer:

A muscular foot

Step-by-step explanation:

hope this helps :)

Determine whether each of the following is a characteristic of a protist, fungus, or both. Unicellular Stationary Reproduces through spores Eukaryotic Cilia Autotrophic

Answers

Answer:

100% correct

Step-by-step explanation:

The properties of the protists differ from that of the fungi but they are both eukaryotic organisms and are unicellular.

What is a protist?

A protist is an organism that belongs to the Kingdom Protista. Fungus are the organisms that belong to the kingdom fungi.

Now, let us differentiate between the properties of the protists and the fungi;

Unicellular - both fungi and protists

Stationary - fungi

Reproduces through spores - fungi

Eukaryotic - both fungi and protists

Cillia - protists

Autotrophic - fungi

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