The sum of the angles of a regular hexagon is 720 degrees. Solve for x

The Sum Of The Angles Of A Regular Hexagon Is 720 Degrees. Solve For X

Answers

Answer 1

Answer:

x = 32

Step-by-step explanation:

Measure of each interior angle of a regular hexagon is 120°

-> (4x - 8)° = 120°

-> 4x - 8 = 120

-> 4x = 120 + 8

-> 4x = 128

-> x = 128/4

-> x = 32

Related Questions

10) 2−(n+2) >-(7 + n) + 7

Answers

Answer:

This is a false statement so there is no solution.

Step-by-step explanation:

2-(n+2) > -(7 +n) + 7

2 -n -2 > -7 -n + 7

-n > -n  This cannot be true, so there is not solution.

Answer:

No solutions

Step-by-step explanation:

2-(n+2) > -(7+n)+7  Distribute the -1 to both parentheses

2 - n - 2 > -7 - n + 7   Simplify values (2 - 2; -7 + 7)

-n > -n   Add n to both sides

No solutions (There are no solutions because when the equation simplifies, there are no variables and values left)

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If the temperature on the ground is 63F​, then the air temperature x miles high is given by T=63−29x. Determine the altitudes at which the air temperature is less than 4.4F.

Answers

The temperature is less that 4.4 °F for altitudes greater than 2.021 miles high.

In which altitudes do we get a certain range of temperatures?

Herein we find that the temperature, in grades Fahrenheit, decreases linearly inasmuch as the altitude, in miles, increases. In accordance with the statement, we solve for T in the following inequality:

63 - 29 · x < 4.4

63 - 4.4 < 29 · x

58.6 < 29 · x

29 · x > 58.6

x > 2.021 mi

The temperature is less that 4.4 °F for altitudes greater than 2.021 miles high.

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Here are 4 triangles that have been transformed by a different transformation. Which transformation is a reflection? Can someone please help me with this

Answers

Answer:

choice 1 or A the first one

Step-by-step explanation:

Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.

Answers

The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

How to find the residual of a scatter plot?

A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.

Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;

y^ = 180.8 + 15.2x

Now, for 2 tablespoons of sugar , we have x = 2. Thus;

y^ = 180.8 + 15.2(2)

y^ = 212.4 hours

Residual for 204 hours is;

Residual = 204 - 212.4 = -8.4 hours

Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

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Complete question is;

Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.

Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.

Let a and b be real numbers where a + b 0. Which of the following functions could represent the graph below?
q
Of(x) = x(x-a)2(x-b)4
O f(x) = x(x-a)³(x-b)²
Of(x)=(x-a)(x- b)²
Of(x)= x²(x-a)5(x-b)
X
d Fuit
Next
Submit

Answers

Add me Brainlyist!!

Answer

Write the equation of the line that passes through the points (1,−9) and (3,−17).

Answers

Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

-9 - (-17) = m(1 - 3)

8 = m(-2)

-4 = m

y= -4x + b

-9 = -4(1) + b

b = -5

y = -4x - 5

The table represents a funtion. which value is an output of the function?
A) -6
B) -2
C) 4
D) 7

Answers

Answer:

B

Step-by-step explanation:

f(x) = function

you can see -6, 4 and seven are the values of x, which is not a function. and -2 is value of f(x) which is a function

Find a degree 3 polynomial with real coefficients having zeros 2 and 4 i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P ( x ) =

Answers

The degree of the polynomial is a f(x)=x^3-2x^2+16x-32.

According to the statement

We have to find that the degree of the polynomial.

So, For this purpose, we know that the

The degree of a polynomial is the highest power of the variable in a polynomial expression.

From the given information:

with real coefficients having zeros 2 and 4 i and a lead coefficient of 1.

Then

We know that the complex zeros always occur in pairs.

zeros are 2,4i,-4i

f(x)=(x-2)(x-4i)(x+4i)

f(x)=(x-2)((x)^2-(4i)^2)

f(x)=(x-2)(x^2-16i^2)

f(x)=(x-2)(x^2+16)

f(x)=x^3-2x^2+16x-32.

So, The degree of the polynomial is a f(x)=x^3-2x^2+16x-32.

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fifteen less than the product of twenty-three and 2.8

Answers

(23 * 2.8) - 15

23 * 2.8 = 64.4

64.4 - 15 = 49.4

What is the value of x? URGENT

Answers

Step-by-step explanation:

If you check by inspection there are two sides which are equal. The triangle is considered an Isosceles Triangles where two sides amd angles are equal.

The two base angles are equal=x°

38°+x°+x°=180°

2(x°)=180°-38°

2x°=142°

x=71°

What is the correct classification for each given angle? Drag and drop the answer into the box to match each angle. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. ∠RQU ∠SQU ∠RQT Ray R Q and Ray Q T are connected at point Q 90 degrees apart from each other. Line VQS extends diagonally down to the up right at point Q and forms an interior angle labeled as 19 degrees and 71 degrees. Ray QU extends down to the right of the QT and forms an interior angle labeled as 18 degrees.

Answers

∠RQU is an obtuse angle.

∠SQU is an acute angle.

∠RQT is an right angle.

How to Classify Angles?A right angle equals 90 degrees.An acute angle is less than 90 degrees.An obtuse angle is less than 180 degrees but greater than 90 degrees.A straight angle equals 180 degrees.

m∠RQU = 19 + 71 + 18 = 108°.

Therefore, ∠RQU is an obtuse angle.

m∠SQU = 71 + 18 = 89°

Therefore, ∠SQU is an acute angle.

m∠RQT = 71 + 19 = 90°

Therefore, ∠RQT is an right angle.

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A taxi service charges you $1.25 plus $0.75 per mile
driven to the airport. The total cost of the trip to the
airport was $12.50. How many miles was the trip to the
airport?
19 miles
17 miles
13 miles
15 miles
11 miles

Answers

D - 15 miles: 12.50-1.25=11.25, 11.25/0.75=15

How would you write 125/6^−4using a positive exponent?

Answers

Answer: 162000

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

162000

[tex]\displaystyle\\Answer:\ (\frac{6}{125})^4[/tex]

Step-by-step explanation:

[tex]\displaystyle\\(\frac{125}{6} )^{-4}=\\\\(\frac{6}{125})^{-(-4)}= \\\\(\frac{6}{125})^4[/tex]

At SpaceX, level 1 engineers make a salary of $56,000 a year and level 2 engineers get a yearly salary of $68,000. They have 8 total engineers, all which are level 1. They are looking to promote some of them to level 2. However, next year they’ll only be able to afford $472,000 in engineer salaries.

Write a system of equations befitting this problem where a is the number of level 1 engineers and b is the number of level 2 engineers.

Answers

Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

So, Total Numbers of Engineers at SpaceX is 8.

[tex]a+b=8\\[/tex]

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

[tex]56000a + 68000b = 472000[/tex]

Solving both the equation

[tex]a+ b = 8\\56000a + 68000b = 472000[/tex]

on multiplying first equation -56000 and adding it

[tex]-56000x - 56000y = -448000\\56000x + 68000y = 472000[/tex]

[tex]12000b = 24000\\b = 2\\[/tex]

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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Number of level 1 engineers is 6 and number of level 2 engineers is 2.

Let a is the number of level 1 engineers working at SpaceX and b is the number of level 2 engineers working at SpaceX.

SinceTotal Numbers of Engineers at SpaceX is 8.

[tex]a+b=8[/tex]

Yearly Salary of a Level 1 Engineer that will get is $56,000. and yearly salary of a Level 2 Engineer that will get is $68,000.

And the amount of salary next year company will only be able to afford $472,000.

So,

[tex]56000a+68000b=472000[/tex]

Solving both the equation

on multiplying first equation -56000 and adding it

[tex]-56000a-56000b=-448000\\56000a+68000b=472000[/tex]

[tex]12000b = 24000\\b = 2000[/tex]

So, a = 6.

So, Number of level 1 engineers is 6 and number of level 2 engineers is 2.

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Austin mowed 8 lawns in 3 hours. At that rate, how long will it take him to mow 12 lawns?

Answers

Answer: 32 hours

Step-by-step explanation:

brain

Determine the mass in (g) of 2.6x10-3 mol Na2So4

Answers

Answer:

0.36933g or 0.3693g in 2.6 x 10^-3 moles of Na2SO4

Step-by-step explanation:

Molar mass

Na = 22.99

S = 32.07

O = 16

Na(2) + S + O(4) =

22.99(2) + 32.07 + 16(4) =

45.98 + 32.07 + 64 = 142.05g

Na2SO4 = 142.05g

2.6 x 10^-3 moles = 0.0026 moles

0.0026 x 142.05 = 0.36933

The midpoint of AB is M(0, -3)M(0,−3). If the coordinates of AA are (6, -5)(6,−5), what are the coordinates of BB?

Answers

Step-by-step explanation:

Mid point of AB is (0, -3)

Coordinate of A is (6, -5)

By using mid point formula, if P(x, y) and Q (x′, y′), then mid point of P= (x + x′)/2 , (y + y′)/2

So, ( 0, -3)= 6+x/2, -5+y/2

0=6+x/2

0=6+x, x = -6

and, -3= -5+y/2, -6= -5+y....

y = -1

so the coordinate is (-6, -1)

Finding the Midpoint

To find the midpoint of two points, we can use the following formula:

[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two endpoints

Solving the Question

We're given:

AA = (6, -5)AB = (0, -3)BB = [tex](x_2,y_2)[/tex]

Plug the information into the formula:

[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(0,-3)=(\dfrac{6+x_2}{2},\dfrac{-5+y_2}{2})[/tex]

If [tex]\dfrac{6+x_2}{2}[/tex] must equal 0, then [tex]x_2[/tex] must be -6.

If [tex]\dfrac{-5+y_2}{2}[/tex] must equal -3, then [tex]-5+y_2[/tex] must equal -6, making [tex]y_2[/tex] equal to -1.

Therefore, BB is (-6,-1).

Answer

(-6, -1)

Simplify -100 square rooted

Answers

Answer:

√-100 = 10 i

Step-by-step explanation:

√-100 = √100 × √-1

The square root of 100 is 10. Furthermore, the square root of negative 1 is an imaginary insignificant number (iota) which can be transliterated as i. That's it. Now, we have our answer to the square root of negative 100.

100 points!
what is/are the function(s) graphed in the photo provided?

Answers

The interval(s) over which the function is decreasing is (-∞, -2) U (-2, -1) U (-1, 1) U (5, +∞)

What is graph?

According to the given graph

the increasing points:

[1, 5]

and the decreasing are:

(-∞, -2) U (-2, -1) U (-1, 1) U (5, +∞)

The correct and complete question is:

Use the graph to answer the question. 1. Find the interval(s) over which the function is decreasing. (1 point)

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Delilah is making a garden that she wants to be 5 feet longer than it is wide. Write
the equation that Delilah should use to determine the width of a garden that has an
area of 50 square feet.

How wide and how long does Delilah need to make her garden to achieve the desired speciation?

Width =

Answers

The equation is 50 = (5 + w)w and the width is 5 and the length is 10

Write the equation that Delilah should use to determine the width of a garden that has an area of 50 square feet.

The given parameters are

Area = 50

Length = 5 + Width

This means that

l = 5 + w

The area is calculated as

A = lw

Substitute l = 5 + w in A = lw

A = (5 + w)w

Substitute A = 50 in A = (5 + w)w

50 = (5 + w)w

Hence, the equation is 50 = (5 + w)w

How wide and how long does Delilah need to make her garden to achieve the desired speciation?

We have

50 = (5 + w)w


Express 50 as 10 * 5

So, we have

10 * 5 = (5 + w)w

This means that

5 + w = 10

w = 5

Solve 5 + w = 10

w = 5

Substitute w = 5 in l = 5 + w

l = 5 + 5

l = 10

Hence, the width is 5 and the length is 10

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The profit, in dollars, a company makes selling a new line of iPhones is given by the
equation P(x) = −0.03x^2 + 225x − 24000, where x is the number of iPhones sold.
a) Find the instantaneous rate of change of the profit at x = 1000 iPhones sold.
b) Interpret your result.

Answers

The instantaneous rate of change is the change in the concentration of rate that occurs at a particular point of time. The variation in the derivative values at a particular point  denotes the instantaneous rate of change.  The instantaneous rate of change at a point is the value of  derivative function evaluated at that point.

P(x) = −0.03x^2 + 225x − 24000

To find the instantaneous rate of change we need to differentiate the equation with respect to x

P'(x) = -0.06x +225

at x =0

P'(0)= 225

now put x = 1000 because we need  to know   instantaneous rate of change of the profit at x = 1000 iPhones sold

P'(1000) = -0.06(1000) + 225

               = -60 + 225

               = 165

Hence, the instantaneous rate of change of the profit at x = 1000 iPhones sold is 165

This means that the increase in sales also increase the profit but at a decreasing rate or the marginal profit of iPhones increases with decreasing rates

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Cedric lives in an apartment and pays the following expenses each month: electric bill,
$33.90; TV streaming service, $24.99; and rent, $538.95. Estimate his total expenses for
the month by first rounding each value to the nearest tens place.
A. $550
B. $590
C. $598
D. $600

Answers

Answer:

C. $598

Step-by-step explanation:

$33.90 = $34

$24.99 = $25

$539.95 = $539

What is the minium value of the function g (x) = x^2 - 6x - 12?

Answers

The minimum value of the function is = -12

The function g(x) is defined for integers x such that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5.

given that , g(x)= x^2 - 6x - 12

asked to find minimum value

to get minimum value of g(x) put x=0

on  putting x=0 ,the value of x^2 becomes 0

                           the value of 6x also becomes 0

so the equation g(0) becomes 0-0-12

            g(0)= -12

on putting x=0 we get g(0) as -12 which is its minimum value

we get minimum value for g(x) when x=0

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Answer:

The function's minimum value is -12.

Step-by-step explanation:

Integers x are used to define the function g(x), and it is defined so that if x is even, g(x) = x/2 and if x is odd, g(x) = x + 5.

Considering, g(x)=x2 - 6x - 12

requested to determine the minimal value

Put x=0 to obtain the minimal value of g(x).

When x=0 is entered, the value of x2 is changed to 0.

6x's value is also reduced to 0.

so the equation g(0) becomes 0-0-12

           g(0)= -12

on putting x=0 we get g(0) as -12 which is its minimum value

we get minimum value for g(x) when x=0

You have a puzzle with 36 pieces. Using the number of puzzle pieces on an edge, please describe the
domain (possible side lengths) and range (possible area).

Answers

Answer:there are 4 possible edges and issa 6x6 puzzle

Step-by-step explanation: clarify question or add screen shot?

simplify 4/x+4 + x/x-4
A.Hint: Find the common denominator and then add.

Answers

The simplification of the given equation is (x² + 8x - 16)/(x-4)(x+4) by the method of LCM.

What is defined as the LCM?LCM is an abbreviation for least common multiple. The smallest number which is a multiple of both numbers is the least common multiple of them.

For, the given equation;

4/(x+4) + (x/x-4)

To find the common denominator, use LCM; multiply a first term by (x-4)/(x-4) and the 2nd term by (x+4)/(x+4):

= (x-4)×4/(x-4)(x+4) +  x×(x+4)/(x-4)(x+4)

The following step is to disperse the 4 (x-4) and x (x+4);

So you now have;

= (4x-16 + x² + 4x)/(x-4)(x+4)

Further simplify.

= (x² + 8x - 16)/(x-4)(x+4)

As, (x² + 8x - 16) is further not factor-able. So, the simplified form of the given equation is; (x² + 8x - 16)/(x-4)(x+4).

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Which type of data cannot be sorted?

Answers

Answer:

credit card an bank information

medical history

credit card an bank information
medical history

Please help me with this question.

Answers

Answer:14m

Step-by-step explanation:

3 1/2 x 4= 14

Evaluate 5x, for x=9

Answers

Answer: 45

Step-by-step explanation:

1. Replace x with 9 in term. Replacing x with 9 turns the term 5x into 5(9).

2. Multiply. 5 times 9 = 45.

This means that if x is equal to nine, then 5x is equal to 45/

Question 1
The point (6, y) lies on the line
y = -8x + 2. Find y

Answers

Answer:

y=-50

Step-by-step explanation:

x=6

substitute x and u will find the answer

The following table shows the average total cost, measured as dollars expended per pupil, of operating a high school with the given enrollment. This table is based on a study of economies of scale in high school operations from the 1960s.


Enrollment 170 250 450 650

Average total cost 539 482 421 415

What would you estimate for the average cost per student at an enrollment of 750 students? $

Answers

Using linear regression, the estimate for the average cost per student at an enrollment of 750 students is of $373.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(170, 539), (250, 482), (450, 421), (650, 415).

Inserting these points into the calculator, the function is:

y = -0.24733x + 558.23703.

When x = 750:

y = -0.24733(750) + 558.23703 = 373.

The estimate for the average cost per student at an enrollment of 750 students is of $373.

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