The measures of 13 of the 14 angles of a 14−gon add up to 2,016°. What must the fourteenth angle measure be?

Answers

Answer 1

Answer:

[tex]x = 155 \frac{1}{13}[/tex] or 155 1/3 degrees. If you want a decimal, 155.076923 degrees.

Step-by-step explanation:

2,016 is the sum of 13 identical numbers. Let's say the unknown number is [tex]x[/tex]. We'll now write an equation to solve it.

[tex]13x = 2016[/tex]

Divide both sides by 13.

[tex]x = \frac{2016}{13}[/tex]

Now, I went ahead and solved this and ended up with a repeating decimal. But for your sake we'll just make it a nice mixed number.

13 goes into 2016 155 times.

Here, I'll check for you.

[tex]13 * 155 = 2015[/tex]

So, if we were to turn this into a mixed number, we'd get something like this.

[tex]x = 155 \frac{1}{13}[/tex]

That should be your fourteenth angle measure.


Related Questions

can yall help me with this one

Answers

Answer:

The answer for the dropdown section in x section is 5 and the answer for the dropdown section in the y section is 75

Step-by-step explanation:

Answer:

2 Pumpkins / 15 Dollars

5 Pumpkins / 37.5 Dollars

10 Pumpkins / 75 Dollars

Step-by-step explanation:

2 pumpkins for 15 dollars

that is what we have to work with here

the first step would probably be to figure out how much one pumpkin is, so we should divide the amount that we spent by the amount of pumkins that we got, which would look like

15 / 2 = 7.5

so 1 pumpkin = 7.5 dollars

now, to figure out how many pumpkins you can buy with 37.5 dollars, you would divide the amount of money spent by the amount that each pumpkin costs, which turns out to be

37.5 / 7.5 = 5

Now, to figure out how much money you would need for 10 pumpkins, you would multiply the number of pumpkins by the cost of a single pumpkin, which ends up being

10 x 7.5 = 75

Is a circles area proportional to its radius? Is a circles circumference proportional to its diameter?

Answers

In geometry, the area enclosed by a circle of radius r is πr2. Here the Greek letter π represents the constant ratio of the circumference of any circle to its diameter, approximately equal to 3.14159.

HELP URGENT 40 POINTS

Answers

Answer:

Step-by-step explanation:

Do you mind telling me what grade you are in? Oh and can you take a better picture?

A total of 559 tickets were sold for the school play. They were either adult tickets or student tickets. There were 59 more student tickets than adult tickets. How many adult tickets were sold?

Answers

Answer: The answer is 500 hope this helps!

Step-by-step explanation:

Can somebody simply these matrixs for me please I will give out brainlist to first correct answer

Answers

I think is D I am so sorry if I’m wrong

Answer:

I think it's D:)

Step-by-step explanation:

3.
%.
Paul says that the grids show 150%.
Rebecca says that they show 75%
How could each be correct?​

Answers

9514 1404 393

Answer:

  Paul is using 1 grid = 100%; Rebecca is using 2 grids = 100%

Step-by-step explanation:

We assume that a full grid and half of another are shaded.

If 1 grid is taken to be 100%, then the total amount shaded is 100% +50% = 150%, as Paul says.

__

If the two full grids are taken to be 100%, then the full shaded grid is 50% of the total, and the additional half-shaded grid is 25% of the total. That makes a total of 50% +25% = 75% of the total being shaded, as Rebecca says.

The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?

Answers

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The required measure of side a of the rectangular prism is a = 9.3 meters.

What is surface area?

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

State the equation of the line which has the y-intercept :

a) 2 and slope 7 .
b) -1 and is parallel to y= 5x - 7.
c) 2 and is inclined at 45 degree to the x- axis. ​

Answers

Answer:

A general line is written as:

y = a*x + b

where:

a is the slope

b is the y-intercept.

a) y-intercept = 2 and slope = 7.

This line is:

y = 7*x + 2

b) y-intercept =  -1 and is parallel to y= 5x - 7.

Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to  y= 5x - 7, this means that the slope of this line must also be equal to 5.

y = 5*x + (-1)

c) y-intercept 2 and is inclined at 45° to the x- axis. ​

When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)

In this case, we have A = 45°

Then the slope is a = Tan(45°) =  1

Then the equation of this line is:

y = 1*x + 2

all of the following proportions can be used to solve for m except​

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

3kg of meat costs £54
Nina buys 2 kg of the meat.
Work out how much Nina pays

Answers

Answer:

£36

Step-by-step explanation:

3kg = 54

÷ 3

1kg = 18

18 × 2 = 36

hope this helps...

Which line on the graph below has an undefined slope?

P
Q
R
S

Answers

Answer:

Q

Step-by-step explanation:

X has constant value

x'-x = 0

m =(y'-y)/(x'-x)  --> undefined

Answer:

R

Step-by-step explanation:

A vertical line has a slope that is "undefined". Line R is the vertical line on your graph

___________

The slope of a vertical line is "undefined" because of the way slope is defined. Slope is the vertical change divided by the horizontal change. When the line is vertical, there is no horizontal change, so the computation of slope involves division by zero. The result of division by zero is "undefined."

What value of x makes the equation -4+12x=8 true?

Answers

Answer:

1

Step-by-step explanation:

please help me please will give brainliest to ​

Answers

Answer: D


Explanation: if you round it will be Volume ≈ 65.42 units^3

What is the probability of drawing a face card from a standard deck of cards and rolling a 3 or more on a 20-sided dice?

Write your answer in percent format but do not include the symbol.

Write and round your answer to the nearest hundredth

Answers

Answer: 20.77%

Step-by-step explanation:

There are 52 cards in a standard deck. Out of these cards, there are 12 face cards. Thus, the probability of drawing a face is 12/52.

On a 20-sided dice, there are 20 options of numbers to roll. Out of these 20 numbers, 18 of the numbers are greater than or equal to 3, making the probability 18/20, or 9/10.

To find the probability of two events, you need to multiply the probabilities together. Thus, you need to multiply 12/52 by 9/10.

(12/52) * (9/10) = 27/130

27/130 is about equal to 0.2077, or a 20.77% probability.

What is the measure of JGK shown in the diagram below?
A. 56
B. 112
C. 138
D. 69

Answers

According to formula if there is addition the ans is 138 and subtraction is 112

Answer:

B.56

Step-by-step explanation:

Solve log x=4

x=4
x=40
x=1000
x=10000

Answers

Answer:10000

Step-by-step explanation:

Remember that log x and 10^x are inverse functions.

If you have log x = 4 and want the value of x, write this out:

log x 4

10 = 10

This simplifies to:

x = 10^4, and so the fourth answer choice is the correct one.

Solve the system of equations by using the substitution method. 4x - 5y = 25 y=x-6​

Answers

Answer:

x=5

Step-by-step explanation:

substitute y to the first expression

4x-5(x-6)=25

4x-5x+30=25

-x=25-30

-x=-5

times left and right hand side with minus youll get

x=5

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

O triangular pyramid

O square pyramid

O rectangular prism

O cube

O cone

O cylinder

O sphere

Answers

Answer:

Rectangular PrismCube Cylinder

Step-by-step explanation:

I know because I just did it on an assignement and it said these were the right answers.

In this exercise we have to use knowledge of direction and congruent lines to identify which objects have these characteristics, so we can say that:

Rectangular Prism

Cube

Cylinder

Triangular pyramid

First we have to remember the definition of congruent lines, such as:

having the same size and shape. equal angles.

From this we can now identify these figures as:

Rectangular PrismCubeCylinderTriangular pyramid

See more about congruent at brainly.com/question/24887947

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilateral. b) Apply the slope formula to determine whether the diagonals are perpendicular. c) Apply the midpoint formula to each diagonal to determine whether the diagonals bisect each other.

Answers

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

[tex]SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}[/tex]

[tex]SP \approx 8.246[/tex]

[tex]PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}[/tex]

[tex]PA \approx 8.246[/tex]

[tex]AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}[/tex]

[tex]AZ \approx 8.246[/tex]

[tex]ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}[/tex]

[tex]ZS \approx 8.246[/tex]

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

[tex]m_{SA} = \frac{6-(-4)}{6-(-4)}[/tex]

[tex]m_{SA} = 1[/tex]

[tex]m_{PZ} = \frac{4-(-2)}{-2-4}[/tex]

[tex]m_{PZ} = -1[/tex]

Since [tex]m_{SA}\cdot m_{PZ} = -1[/tex], diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

[tex]M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)[/tex]

[tex]M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)[/tex]

[tex]M_{SA} = (-2,-2)+(3,3)[/tex]

[tex]M_{SA} = (1,1)[/tex]

[tex]M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)[/tex]

[tex]M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)[/tex]

[tex]M_{PZ} = (2,-1)+(-1,2)[/tex]

[tex]M_{PZ} = (1,1)[/tex]

Then, the diagonals SA and PZ bisect each other.

help me nowwwww!!!!!!

Answers

Answer:

its the second one

Step-by-step explanation:

it's the only one where the x number dosent repeat

A customer bought 8.5 pounds of apples from a local produce market. If 1 pound = 16 ounces, how many ounces of apples did
the customer buy?

112 ounces
112 ounces

128 ounces
128 ounces

120 ounces
120 ounces

136 ounces
136 ounces

Answers

Answer:

136 ounces

Step-by-step explanation:

8.5*16=136

So 136 ounces

HELP DUE in 20 MIN
m∠16 =

Answers

9514 1404 393

Answer:

  ∠16 = 47°

Step-by-step explanation:

Vertical and corresponding angles are congruent. The remainder are supplementary to those.

∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°

∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°

find the slope of the lines​

Answers

Answer:

m = 1

Step-by-step explanation:

We can use the x & y intercepts.

Rise = 2

Run = 2

m = Rise/Run = 2/2 = 1

8 x 6 = (4 x 6) (__x 6)
= 24 + __
=

Answers

Answer:

8x6= (4x6) + (4x6)

= 24+24

= 48

Step-by-step explanation:

Hope this helps :)

Answer:

8×6=48

4×6=24 and 24×2=48

So I'm guessing 4,24,48

WILL GIVE BRAINLIEST
3. Determine the amount of an investment of $500.00 is invested at an interest rate of 4.75% compounded quarterly for 20 years.​

Answers

Step-by-step explanation:

Use the compound interest formula:

A = P( 1 + r/n)^nt

A is the amount at the end

P is the principal or original amount.

R is annual rate as a decimal (you have to convert)

N is the # of compounding periods in a year (quarterly means 4)

T is time in years

A = 500( 1 + 0.0475/4)^(4×20)

This would be $1285.64 when fully computed.

a local restaurant purchased 10 pounds of flour at a total cost of $40. what is the cost for one pound of flour?

Answers

Answer:

4 dollars a pound

Step-by-step explanation:

4x 10 = 40

PLEASE HELP HELP ASAP ASAP PLEASE HELP
Which two grids can be combined to represent 140%?
JA
В
C
O A and B
O A and C
OB and D
O C and D

Answers

Answer:

0A and C

Step-by-step explanation:

Please mark me brainlist

Which is the coefficient in the expression 7pie+ 142​

Answers

Answer:

7pie

Step-by-step explanation:

Evaluate the expression if p = 1,1=-7, and s= -2.
-3p-21
6+4s

Plzz hurry!!

Answers

Answer : A

To solve this all you have to do is use substitution.

Graph the following equation
2y-4x=8
1 Rewrite in slope intercept form

Answers

the answer is y=2x+4
Y=2x+4 hope this helped
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