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Find the measure of an interior angle of a regular hexagon ​

Answers

Answer 1

Therefore , the solution of the given problem of angles comes out to be

Each inner angle of a regular hexagon measures 120 degrees.

Exactly what angles are there?

Two rays that converging at the vertex, or center, of an angular structure in geometry make up the structure. We refer to these rays as the faces of the angle. Two beams may well be able to create any angle within just a planar depending on their location. Additionally, an angle is created when two planes intersect. .

Given: A standard hexagon

Measure each internal angle of a standard hexagon.

Solution:

(n - 2) x 180° is the formula for the sum of lengths of a polygon's inner angles.

Every side of a regular polygon is the same length, and every angle is the same size.

A hexagon has six sides.

Find the total of the measurements of the internal angles of a hexagon by substituting n = 6 in (n - 2) x 180n latitude in step 1.

=> (n - 2) * 180°

=> (6 - 2) * 180°

=>4 * 180°

=> 720°

Step 2: Since a regular hexagon has six sides and all of its sides and angles are equal in size, divide by six to obtain the dimensions of each inner angle.

=> 720° /6

=> 120°

Each internal angle of such a regular polygon is 120 degrees in length.

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Related Questions

What is the sum of 1/2 plus 3/5 ?

Answers

Answer:

1           3           5         6        11

__ +  ____ =   ___ + ___ = ___ simplified: 1 1/10

2          5           10        10      10

Step-by-step explanation:

Find a common denominator which is 10.

1 1/10 is your answer.

What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Answers

Answer:

a)2.33

b) 2.83

Step-by-step explanation:

What is the mean absolute deviation and population standard deviation of this data set? 1, 4, 6, 7, 9, 9

Step 1

Find the Mean

n = 6

Mean = Sum of values/Number of value

= 1 +4 + 6 +7 + 9+ 9/6

= 36/6

= 6

a) Mean Absolute Deviation

Formula

= |x - Mean|/n

= | (1 - 6)+(4 - 6) + (6 - 6)+(7 - 6)+ (9 - 6) + (9 - 6)|/6

= 5 + 2 + 0 + 1 + 3 + 3/6

= 14/6

= 2.3333333333333

Approximately = 2.33

b) Population Standard deviation

Formula

=√(x - Mean)²/n

= √ (1 - 6)²+(4 - 6)² + (6 - 6)² +(7 - 6)² + (9 - 6)² + (9 - 6)²/6

= √25+ 4+0+ 1+ 9+9/6

= √48/6

= √8

= 2.828427125

Approximately = 2.83

Help please with this maths

Answers

The radius of the sphere is 9 cm.

What is a sphere?

It is a three-dimensional figure where the volume is given as:

The volume of a sphere is 4/3πr³.

We have,

The surface area of a sphere = 324π cm²

4πr² = 324π

r² = 324/4

r² = 81

r = √81

r = ±9

r = -9 cm (rejected)

r = 9 cm

Thus,

The radius is 9 cm.

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These two figures are similar. Find the length of side x

Answers

Answer:

probably 21

Step-by-step explanation:

Find the measures of the angles

Answers

Answer:

(1):

angle1/2/3/4=90

angle6=51

angle7=40

angle8=89

angle9=51

angle10=40

angle12=50

angle13=130

angle14=50

Step-by-step explanation:

Q1:

angle1 2 3 4 divided 360 into four equal parts

so 360/4=90

angle11=110degree

so angle12 is 180-130=50 degree

because angle 12 3 10 are in triangle

their sum is 180

so angle 10=180-90(angle3)-50(angle12)=40

because angle 10 5 6 sum is 180

so angle 6 is=180-89(angle5)-40(angle10)=51

because angle 5 6 7 sum is 180

angle7=180-51(angle6)-89(angle5)=40

angle8=angle5=89

angle9=angle6=51

angle12 &13sum is 180

so angle13=180-50=130

angle14=angle12=50

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

See below

Step-by-step explanation:

Question 1:

For polynomial:

[tex] x^2 + 11x + 24[/tex]

add upto 11 x

multiply to 24

Question 2:

For polynomial:

[tex] x^2 - 12x + 20[/tex]

add upto - 12 x

multiply to 20

Indicated angles :

6. Find the measures of the indicated angles. Give reasons for your answers

Answers

Answer:

k\

Step-by-step explanation:

j

how do I find the slope of these points
(8,-4) and (2,-4)

Answers

[tex](\stackrel{x_1}{8}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-4}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{2}-\underset{x_1}{8}}} \implies \cfrac{-4 +4}{-6} \implies \cfrac{ 0 }{ -6 } \implies \text{\LARGE 0}[/tex]

5. A history lecture hall class has 15 students. There is a 15% absentee rate per class meeting.
a.) Find the probability that exactly one student will be absent from class. (5 points) b.) Find the probability that at least 2 students will be absent from class. (10 points)

Answers

Answer:

I think the answer is A

Sorry if i am wrong

Step-by-step explanation:

Can u please help............

Answers

Answer:  

-2 in the first box

2 in the second box

In other words, the circumcenter is located at (-2, 2). Do not type in the parenthesis.

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

Explanation:

Points A and C are (2,-3) and (-6,-3) in that order.

Use the midpoint formula to find that M = (-2,-3) is the midpoint of segment AC. It is halfway between these endpoints.

The perpendicular bisector to segment AC is x = -2

The perpendicular bisector goes through the midpoint, and it is perpendicular to segment AC.

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

Points A and B are (2,-3) and (2,7) respectively.

The midpoint is at N = (2,2)

The perpendicular bisector of segment AB is the equation y = 2.

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

We found the following:

The perpendicular bisector to segment AC is x = -2The perpendicular bisector to segment AB is y = 2

Therefore, the circumcenter is located at (-2, 2) as the circumcenter is located at the intersection of the perpendicular bisectors.

The diagram is shown below. As the diagram shows, the circumcenter marked in red is the center of the circle that goes through points A, B, and C.

Side note: The circumcenter is located on the midpoint of the hypotenuse of any right triangle. See Thales theorem.


[tex] - \sin( \beta ) \times - \sin( \beta ) [/tex]

Answers

Answer:

[tex] - \sin( \beta ) \times - \sin( \beta ) \\ = ( { \sin}^{2} \beta ) \\ = \sqrt{1 - { \cos }^{2} \beta } [/tex]

What is Jasmine’s mistake?

Answers

Answer: She has to interpret who has a job not who doesn't.

Step-by-step explanation:

Need answers pls answers

Answers

Answer:

Thjs is hard mat

Step-by-step explanation:

I just need points mateeeee

5. solve for x
6. find MN

please help I need before Saturday at 12:00am
Will report links and random words​

Answers

Answer:

x = 17, MN = 11

Step-by-step explanation:

Given 2 secants from an external point to a circle, then

The product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant.

(5)

7(7 + x) = 8(8 + 13) = 8 × 21 = 168 ( divide both sides by 7 )

7 + x = 24 ( subtract 7 from both sides )

x = 17

(6)

9(9 + 2x - 7) = 10(10 + 8)

9(2x + 2) = 10 × 18 = 180 ( divide both sides by 9 )

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

MN = 2x - 7 = 2(9) - 7 = 18 - 7 = 11

What kind of line is y 2x 3?

Answers

Answer: It is a straight line

Step-by-step explanation:

which is equivalent?

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{\sqrt{2} }[/tex]

Multiply numerator/ denominator by [tex]\sqrt{2}[/tex] to rationalise the denominator

= [tex]\frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2}) }[/tex]

= [tex]\frac{x\sqrt{2} }{2}[/tex] → A

please help with math!!

Answers

Answer:

Trinomial

Step-by-step explanation:

If there is 1 term, monomial

2 term - binomial

3 term- trinomial

Using the following equation, find the center and radius of the circle. You must show and explain all work and calculations to receive credit. Be sure to leave your answer in exact form.
x^2+y^2+8x-6y-15=0

Answers

The answers for Center of the circle is (-4,3) and radius is 2√10 units.

How to find the Center of the circle using Algebraic Expressions?

(x - h)2 + (y - k)2 = r2 is the equation of the center of the circle. The radius (r) is specified as 5 units, while the center's (h, k) coordinates are (0, 0). (x - 0)2 + (y - 0)2 = 52 is the result of substituting the values of h, k, and r in the equation.

How to simplify Algebraic expressions?

Finding the simplified term of the given expression is the goal of simplifying the algebraic statement. We must first understand how to join like terms, factor a number, and the order of operations before we can factorize or simplify the statement. When like words are combined, the constant terms are divided for the purpose of simplicity and the variables with the same degree are grouped together.

Examples of  Algebraic Expressions

2x2+3xy+4x+7

Given,

[tex]x^2+y^2+8x-6y-15=0[/tex]

⇒ x².+8x+16–16+y²-6x+.9–9–15=.0

(x+4)²+(y-3)²-16–9–15=0

I.e. (x+4)²+(y-3)²=40

(x+4)²+(y-3)²={2√10}²

Hence center is (-4,3) and radius is 2√10 units.

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If the radius of a spherical orange is 3.5 cm. find its surface area and volume​

Answers

Answer:

The surface area of a sphere is given by the formula:

surface area = 4 * pi * r^2

Where r is the radius of the sphere.

Using this formula, the surface area of an orange with a radius of 3.5 cm is:

surface area = 4 * pi * (3.5 cm)^2

= 4 * pi * 12.25 cm^2

= 49.0307 cm^2

The volume of a sphere is given by the formula:

volume = (4/3) * pi * r^3

Where r is the radius of the sphere.

Using this formula, the volume of an orange with a radius of 3.5 cm is:

volume = (4/3) * pi * (3.5 cm)^3

= (4/3) * pi * 42.875 cm^3

= 113.097 cm^3

Step-by-step explanation:

Given ,

Radius of a spherical orange is 3.5 cm

To Find : The Surface Area and the volume of a spherical orange

In order to find the surface area of a spherical orange we use the formula,

[tex]SA = 4\pi r^{2}[/tex]

[tex]SA = 4X\frac{22}{7} X 3.5X3.5[/tex]

[tex]SA =[/tex] [tex]154cm^{2}[/tex]

And now to find the volume of a sphere

[tex]V = \frac{4}{3} \pi r^{3}[/tex]

[tex]V = \frac{4}{3} X \frac{22}{7} X (3.5)^{2}[/tex]

[tex]V[/tex] [tex]= 179.59cm^{2}[/tex]

Hence, the surface area is 154[tex]cm^{2}[/tex]and the volume of a sphere is [tex]179.59cm^{2}[/tex]

In the triangle below, the measure of angle G is 45 degrees, and the length of
HI = b cm. What is an expression for the length of HG?
Der b
G
I
H
45

Answers

The length of HG can be expressed as HG = b√2.

What is triangle?

Triangle is a three-sided polygon with three straight sides that intersect at three vertices. It is one of the most basic shapes in geometry and is found in nature in the form of mountains, icebergs and even the human face. It has a variety of applications in mathematics, engineering, and other fields. Triangles are also used to define angles and even the area of a plane.

This is because the triangle is a right triangle, and the Pythagorean Theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse. Therefore,
HG2 = b2 + b2 = 2b2,
which reduces to HG = b√2.

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The clock in Sri's car, which is not accurate, gains time at a constant rate. One day as he begins shopping he notes that his car clock and his watch (which is accurate) both say 12:00 noon. When he is done shopping, his watch says 12:30 and his car clock says 12:35. Later that day, Sri loses his watch. He looks at his car clock and it says 7:00. What is the actual time

Answers

The actual time is 6:30.

Since Sri's car clock is not accurate, it is gaining time at a constant rate. By knowing that at 12:00 noon the car clock and the watch were in sync, we can estimate that the car clock is gaining 5 minutes per hour.

Therefore, when Sri looks at his car clock at 7:00 and his watch is missing, we can calculate that the actual time is 6:30. This is done by subtracting the 5-minute difference in time between the car clock and the watch at 12:30 (12:35 car clock, 12:30 watch) from the 7:00 car clock. The result is 6:30.

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Which table shows a proportional relationship between x and y?

Answers

Answer:

C

Step-by-step explanation:

Put in the form y/x and you should have equivalent fraction

12/4 = 3

15/5 = 3

18/6 = 3

When the fractions are simplified, they all equal 3.

Help pleaseeee NO LINKSSSS

Answers

Answer:

Step-by-step explanation:

Radius=r. Diameter=d. C=circumference. A=area

Starting from the center of the circle any line drawn to any point on the circumference of the circle is the radius, if the line is drawn from one point on the circumference to another point on the circumference through the centre of the circle that is the diameter. The circumference of the circle is the perimeter of the circle.

Formulas;

r=d÷2

C=2πr

A=πr²

π=[tex]\frac{22}{7}[/tex] or 3.142

4).

a.)r=d÷2

=4.8cm÷2

=2.4cm

b.)d=4.8cm

c.)C=2πr

=2×3.142×2.4cm

=15.08cm

d.) A=πr²

=3.142×(2.4)²

=3.142×5.76

=18.09cm² or 18.1cm²

5.

a.)r=d÷2

=7÷2

=3.5cm

b.)d=7cm

c.)C=2πr

=2×3.142×3.5

=21.99cm or 21.1cm

d.)A=πr²

=3.142×(3.5)²

=3.142×12.25

=38.49cm²

6.)

a.)r=d÷2

=14÷2

=7cm

b.)d=14cm

c.)C=2πr

=2×3.142×7

=43.99cm

d.)A=πr²

=3.142×(7)²

=3.142×49

=153.96cm²

How do you find the slope of a logarithmic function?

Answers

By taking derivative, slope of the logarithmic function can be found.

The slope of a logarithmic function can be found by taking the derivative of the function with respect to x using the rules of logarithmic differentiation. The general form of the derivative of a logarithmic function is:

d/dx(log(f(x))) = (1/f(x))*(df/dx)

The slope means change in Y with respect to change in X. The slope is the ratio of the rise to run and it shows the steepness of the plane.

The slope is denoted by m.

Example:

Find the slope of y = log(x^2+1)

d/dx(log(x^2+1)) = (1/(x^2+1))*(2x) = 2x/(x^2+1)

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Bonnie's younger brother is 36 inches tall. How many feet tall is Bonnie's younger brother?

Answers

Answer:

3 feet

Step-by-step explanation:

There are 12 inches in 1 foot, so 36 inches is equal to (36/12), or 3 feet.

Answer:

3

Step-by-step explanation:

take 36 and divide it by 12 because there are 12 inches in a foot.

12, 24, 36, 48.  

12x3 is 36 or 36/12 is 3

Find the 19th term of the sequence 5, 8, 11, 14, 17...

59
51
53
56

Answers

Answer:

59

Step-by-step explanation:

So, lets look at our numbers in the sequence. So it goes 5 to 8, 8 to 11, 11 to 14, and 14 to 17. This seems like a change in three. So the every 1 term changes the orginal 5 value by 3.

So wouldnt this mean we can multiply the change in terms by the amount of terms? Which is 19*3? Well, sort of. This is the right way of doig this, but we must remember that we already know the first term, 5. So this means we will be doing 18*3.

This gets you 54. Now just add the amount of the 18 terms onto the first term:

54+5

=

59

So your answer is 59.

Hope this helps!

please give the correct answer and no links!

Answers

Answer:

KL ≈ 16.6 ft

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos25° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MK}{KL}[/tex] = [tex]\frac{15}{KL}[/tex] ( multiply both sides by KL )

KL × cos25° = 15 ( divide both sides by cos25° )

KL = [tex]\frac{15}{cos25}[/tex] ≈ 16.6 ft ( to the nearest tenth )

It is known that the percent of red M&Ms is 35% in each package. Don went to the vending machine and bought a package of M&Ms. In his package he counted 52 MaMs and 18 were red. If 35% is the true parameter then what is the probability that a package of getting no more than 18 out of 52 M&Ms red?

Answers

35% in each package is red.

that means nothing else than for every M&M you pick, the probability is 35% (or 0.35) that is is red.

it also means the probability to get anything but red is 1 - 0.35 = 0.65 (65%).

if I understand you correctly, the question is for the probability that there are no more than 18 red M&Ms in a package of 52.

in other words, the probabilty that there are exactly 18, or exactly 17, or exactly 16 ... or exactly 1, or no red M&Ms.

the probability to get exactly 18 red out of 52 is

0.35¹⁸ × 0.65³⁴

for one of the combinations.

and we have C(52, 18) possible combinations :

52! / (18! × (52-18)!) = 52! / (18! × 34!)

18 red = 0.35¹⁸ × 0.65³⁴ × C(52, 18) = 0.115457378...

17 red = 0.35¹⁷ × 0.65³⁵ × C(52, 17) = 0.110273578...

16 red = 0.35¹⁶ × 0.65³⁶ × C(52, 16) = 0.096708177...

15 red = 0.35¹⁵ × 0.65³⁷ × C(52, 15) = 0.077665254...

14 red = 0.35¹⁴ × 0.65³⁸ × C(52, 14) = 0.056935055...

13 red = 0.35¹³ × 0.65³⁹ × C(52, 13) = 0.037956703...

12 red = 0.35¹² × 0.65⁴⁰ × C(52, 12) = 0.022909582...

11 red = 0.35¹¹ × 0.65⁴¹ × C(52, 11) = 0.012452595...

10 red = 0.35¹⁰ × 0.65⁴² × C(52, 10) = 0.006056874...

9 red = 0.35⁹ × 0.65⁴³ × C(52, 9) = 0.002615926...

8 red = 0.35⁸ × 0.65⁴⁴ × C(52, 8) = 0.000993712...

7 red = 0.35⁷ × 0.65⁴⁵ × C(52, 7) = 0.000328083..

6 red = 0.35⁶ × 0.65⁴⁶ × C(52, 6) = 9.271902896e-005

5 red = 0.35⁵ × 0.65⁴⁷ × C(52, 5) = 2.198201902e-005

4 red = 0.35⁴ × 0.65⁴⁸ × C(52, 4) = 4.252473918e-006

3 red = 0.35³ × 0.65⁴⁹ × C(52, 3) = 6.446899235e-007

2 red = 0.35² × 0.65⁵⁰ × C(52, 2) = 7.183687719e-008

1 red = 0.35 × 0.65⁵¹ × C (52, 1) = 5.231817386e-009

0 red = 0.35⁰ × 0.65⁵² × C(52, 0) =

= 0.65⁵² = 1.868506209e-010

the probability to have no more than 18 reds is the sum of all that :

0.540472593...

Please help I don’t understand this

Answers

Answer:

[tex] {8}^{3n} = {8}^{6} \\ 3n = 6 \\ n = 2[/tex]

Answer:

[tex]n = 2[/tex]

Step-by-step explanation:

[tex]( {8}^{n} )^{3} = {8}^{6} [/tex]

[tex] {8}^{n \times 3} = {8}^{6} [/tex]

[tex]n \times 3 = 6[/tex]

[tex]n = \frac{6}{3} [/tex]

[tex]n = 2[/tex]

Hope it is helpful....

(15,17,21,6,3) order each set of integers from least to greatest

Answers

3,6,15,17,21 ya thats it

Answer: 3, 6, 15, 17, 21

Step-by-step explanation:

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