Calculate the sum of the INTERIOR angles of a 16-gon.

Answers

Answer 1
The answer is 2520 degrees

Related Questions

holaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

A side of the triangle below has been extended to form an exterior angle of 156°. Find
the value of x

Answers

Answer:

x=24

Step-by-step explanation:

again 180-156=24

super easy remember exterior +interior angles add up to 180

Brainliest please

First angle = 105

Second angle = x

Third angle = 156 - 105

= 51

_________________________________________

Three angles of the triangle:

[tex]105[/tex]

[tex]x[/tex]

[tex]51[/tex]

___________________________________________

Angle sum of triangle = 180°

[tex]105 + 51 + x = 180[/tex]

[tex]156 + x = 180[/tex]

[tex]x = 180 - 156[/tex]

[tex]x = 24[/tex]

Which expression represents each mathematical phrase?

Drag the answer into the box to match each phrase.

(1) the product of 7 and a number
(2) the sum of 7 and a number
(3) 7 less than a number
(4) 7 more than twice a number

(a) 2+x+7
(b) 7+x
(c) 2x+7
(d) x-7
(e) 7x
(f) 7-x

Answers

Answer:

(1) = (e) 7x. (2) = (b) 7+x. (3) = (d) x-7. (4) = (c) 2x+7

What is the slope of the line on the graph?
Enter your answer in the box

I will brainlist thing to who ever answers this correctly

Answers

Given points (1,5) and (0,-1)
(-1-5)/(0-1) = -6/-1 = 6
The slope is 6

Answer:

none.

Step-by-step explanation:

if you examine the dots and solve, they are not equivalent

also it doesn't pass through the orgin

If the sales tax rate is 5%, how much tax will you pay on a $35 sweatshirt? * 5 points
$36.75
$1.75
$35.75
$2.25

Answers

Answer:

$36.75

Step-by-step explanation:

You do 5% of 35 which equals 1.75 that’s your sales tax.

then add 1.75+35.00= 36.75

HELP PLEASE. what is the solution to this as an ordered pair. (algebra 1)

Answers

Answer:

(2 , 0)

I solved this using the comparison method ;)

Answer:

y=4×+6=56

56×65

45×34=

2×-4=67

Dany has a business selling bracelets for 7.50 each. She only has enough material to make 5 bracelets. If x represents the number of bracelets sold and y represents the total cost, what is the range for this situation.

Answers

Answer:

The range is [0,37.5]

Step-by-step explanation:

We start by writing the equation that links x and y

From the question;

y = 7.5x

Now, she has enough material to make 5 only

When we talk of range, we are referring to the values on the y-axis

So the lowest y value is 0

and since the highest number of bracelets is 5;

The total cost of the 5 is 7.5(5) = 37.5

So the range is [0,37.5]

how do you find the perpendicular distance between a line segment and a point? (photo attached) i’m stuck

Answers

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

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

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

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

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

On Wednesday mornings, admission to the park swimming pool is $3.00 per adult and $2.00 per child. Which expression can be used to find the cost of admission to the pool for a group of adults (a) and children (c)?

A. 3ac


B.5+ac


C. 3a+2c


D. 2(3)+ac


WILL GIVE BRAINLIEST I NEED THIS FAST

Answers

Answer:

C.) 3a + 2c

Step-by-step explanation:

$3 per adult (a)

$3(a)

     +

$2 per child (c)

$2(c)

Answer:

C. 3a+2c

Step-by-step explanation:

It is 3 $ for a adult hence the 3a and 2$ for a child hence 2c

In your sock drawer you have 4 blue socks, 5 grey socks, and 3 black socks. Half asleep one morning, you grab 2 socks at random and put them on. Find the probability that you end up wearing exactly 1 black sock.

Answers

3 out of 12

1 out of 4

yea hopefully correct

Whats the answer please explain your answer giving brainliest:D..

Answers

Answer:

It is the first one

Step-by-step explanation:

 

   

A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?

Answers

Answer:

6

Step-by-step explanation:

brainest plz

may someone plz answer this​

Answers

Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

5x - 7 + 2x = 21 solve the linear and state the property that justifies your first step

Answers

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x - 7 + 2x = 21

Step 2: Solve for x

Combine like terms:                    7x - 7 = 21Add 7 on both sides:                   7x = 28Divide 7 on both sides:               x = 4

Please Help! I'll give Brainliest!
Eshaal is creating a model of a pyramid. The model created will need to be scaled up from the blueprint.


If segments DE and AB are parallel, which of the following expressions will help Eshaal determine the length of segment BC?

BC = CE
BC equals AC times CE all over CD
BC equals AC times DE all over CE
BC = AC

Answers

Answer:

See attachment

PS:

Can I have Brainliest?

The correct statement is  BC equals to AC times CE all over CD.

We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.

Given, DE and AB are parallel

So,   [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]

[tex]BC = \frac{AC\times CE}{CD}[/tex]

Therefore in statement form we say that BC equals to AC times CE all over CD.

For more details on proportionality theorem follow the link:

https://brainly.com/question/2078223

Which of the following is the proper name for the figure below?
s
E
A. ADSK
B. ADKM
C. ADME
D. ADOM

Answers

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?​

Answers

sue would get on the bus at 9:10

Answer:

9:00

Step-by-step explanation:

Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.

Answers

Answer:

m∠AOC = 15°m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

m∠AOCm∠BOC

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,

m∠AOC = 15°m∠BOC = 15°

What is (6×5-6) +56​

Answers

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Tickets for a family of 6 to go skiing cost $48. whats the unit price ?

Answers

The unit price would be $8.

48/6 = 8

drummer and a guitarist each wrote songs for their band. The guitarist wrote 8 fewer than
wice the number of songs that the drummer wrote. They wrote a total of 46 songs.
Vhich system of equations models this situation if the drummer wrote d songs and the
guitarist wrote g songs?

Answers

Answer:

g = 2d - 8

g + d = 46

Mr. Mills is 5 feet and 11 inches tall. How many inches tall is he?

Answers

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

Identify the best method for solving the given
system of equations. DO NOT SOLVE. Justify your
choice using academic vocabulary.

3x + 2y = 0
x - 5y = 17

Answers

elimination because u could multiply the second equation by -3 which would cancel the x and allow you to solve for y and then everntually x but yea elimination is the best method

PLEASE HURRY!!
Juan's cell phone company charges $35 a month for phone service plus $0.50 for each
text message. How many text messages does Juan send in a month if his bill was $52?
1.
Define the variable:
2.
Determine the constant:
3
What is the rate:
4
Write the equation and solve:

Answers

Juan sent 34 text messages.

First, you have to subtract 35 from 52. The answer you should get is 17. If you divide 17 by $.50 you should get 34.

Solve the following system of equations:

x − 2y = 14
x + 3y = 9

Answers

(12,-1) or x=12 and y=-1

EXPLANATION:
you set both equations equal to each other by subtracting the sum and adding it to the equation. once you set them equal to eachother (x-2y-14=x+3y-9)
you can solve by moving everything to one side by subtracting. once you get it all to one side you can start adding common numbers and variables and solve

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets.



Part A: Write a system of equations to represent the given scenario. Use the variables "s" for senior citizen tickets and "c" for child.



Part B: Solve the system of equations from Part A algebraically. Show your work.



Part C: Explain what the solution to the system of equations represents in context of the problem. Hint: You will need to put words here, not an equation.

Answers

Answer:

The school took in $52 on there second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen

Step-by-step explanation:

But his teacher that he needed to measure the height of a building in which his classroom is located he backs away from the building and places a mirror on the ground between him and the wall when he can see the top of the building in the mirror Peter is 2‘9“ away from the mirror and the mirror is 11 feet away from the wall of the building Peter knew his eye level was exactly 5‘6“ off the ground so he was able to calculate the height of the building how tall is the building in feet

Answers

Answer:

IT'S 22 JUST FOUND OUT

Step-by-step explanation:

a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.​

Answers

Answer:

A

Step-by-step explanation:

not sure gusto ko lang tumulong

Rs 9000 = 10%
Multiply by 10
Rs 90,000 = 100%

90,000/4500 = 20 Carpets sold

When loaded with bricks, a lorry has a mass of 11600kg. If the mass of the bricks is three times that the mass of the empty lorry, find the mass of the bricks.

Answers

Answer:

8700kg

Step-by-step explanation:

lorry + bricks = 11600kg

bricks = 3(mass of empty lorry)

lorry mass is x

there for bricks = 3x

x+3x = 11600

4x =11600

x= 2900kg

mass of bricks = 3(2900)

=8700kg

8x – 12y = 48
Find the x-intercept and y-intercept

Answers

Answer:

my answer came out to x = 6 + 1.5y

Step-by-step explanation:

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