The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°. Find the measure of the smallest exterior angle.

Answers

Answer 1

Answer

x is the smallest angle so 12 is the answer.

Step-by-step explanation:

x + 2x + 4x + 6x + 7x + 10x = 360 degree (sum of exterior angles of a hexagon)

30x = 360

x = 360/30

x = 12

the smallest exterior angle of hexagon is 12 degree.

Answer 2

The measure of the smallest exterior angle is 12 degrees.

What is Polygon?

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

A hexagon is a six-sided polygon or 6-gon creating the outline of a cube.

The measures of the exterior angles of a hexagon are x°, 2x°, 4x°, 6x°, 7x°, and 10x°.

We need to find the smallest exterior angle which is x.

we know that the sum of the exterior angles of any polygon is always equal to 360.

x° + 2x° + 4x° + 6x° + 7x° + 10x° = 360

30x=360

Divide both sides by 30

x=360/30

x=12

Hence, the measure of the smallest exterior angle is 12 degrees.

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Related Questions

Need help frl thank u

Answers

Answer:

the answer 180

Please help me it urgent i need help i beg you guys!

Answers

Solve for y in the first equation.

Work out the circumference of each circle.
Use =
[tex]\pi[/tex]
3.14. Round your answers correct to 1 d.p.
Q1. radius = 6cm
also please tell explanation u will make you mark as brainlest leader ​

Answers

Answer:

37.7 cm

Step-by-step explanation:

circumference of a circle = 2πr

=2*3.14*6

=37.68

=37.7 cm

Answer:

Circumference of circle is 37.68 cm ².

Step-by-step explanation:

Given :-

Radius of circle is 6 cmValue of π is 3.14

To Find :-

Circumference of circle

Formula Used :-

Circumference of circle = 2 π r

Where,

r, is the radius of circle.

Solution :-

Using Formula

Circumference of circle = 2 π r

substitute the values

Circumference of circle = 2 × 3.14 × 6 cm

multiply the values

Circumference of circle = 37.68 cm

Hence, circumference of circle is 37.68 cm ².

Which of the following uses set builder notation to denote the set of all negative integers?

Answer Choices In Pic

Answers

Answer:

3rd Option

Step-by-step explanation:

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into placemats. What fraction of the fabric is left?

Answers

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

PLEASE HELP ME WITH THIS

Answers

9514 1404 393

Answer:

  2.35s +5.50b = 89.50

  no

  10 slices

Step-by-step explanation:

As with any sale, the total is the sum of the parts. We use multiplication to simplify repeated addition. If we let s represent the number of slices sold, and b represent the number of bowls sold, then the total sales were ...

  2.35s + 5.50b = 89.50 . . . . . . . an equation relating slices to bowls

__

Using the manager's numbers, we would get ...

  2.35×8 +5.50×14 = 18.80 +77.00 = 95.80

The manager's numbers are not possible.

(If you're paying attention, you know the total cannot be a multiple of 50¢ unless the number of pizza slices is a multiple of 10.)

__

We can let b=22 -s and solve for s:

  2.35s +5.50(22 -s) = 89.50

  -3.15s = -31.50 . . . . . . . subtract 121, simplify

  s = 10 . . . . . . . . . . . . divide by the coefficient of s

10 pizza slices were sold on Tuesday.

The volume of a cube is 270cm cubed. Work out the length of its side rounded to 1 DP

Answers

Answer:

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Volume of a Cube Formula: V = a³

a is a side length

Step-by-step explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

Substitute in variables [Volume of a Cube Formula]:                                     270 cm³ = a³[Equality Property] Cube root both sides:                                                        6.4633 cm = aRewrite:                                                                                                              a = 6.4633 cmRound:                                                                                                                  a ≈ 6.5 cm

Answer:

The length of it's side is 6.5 cm.

Step-by-step explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

Where , a is the length of side and Volume of cube have given in the question which is 270cm³ .

plug the values

270 cm ³ = a³

Taking cube root of both side

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

Question 6 of 10 Classify the following triangle. Check all that apply. 1 A. Scalene B. Acute C. Equilateral D. Obtuse E. Right Fs. Isoscele​

Answers

Answer:

It is scalene and acute.

Step-by-step explanation:

Since it has all acute angles, it is an acute triangle, and since none of the sides are equal or congruent, it is scalene.

In the diagram below of triangle MNO, P is the midpoint of MO and Q is the
midpoint of NO.If PQ = 4.c – 18, and MN = 99 72, what is the measure of
PQ?

Answers

Answer:

MN = 50

Step-by-step explanation:

GiVEN = PQ = 49 – 8x and  c= 41 + 3x

Needed =   measurement = MN

Find MN:

MN = 41 + 3x

Plug in the value of x

MN = 41 + 3(3) = 41 + 9

MN = 50

What is the length of vz?
O 2 units
O 6 units
O 8 units
0 10 units

Answers

Answer:

answer: 8 units

hope it helps thanks❤

What is the LCM of 5xy and 10y² ? ​

Answers

Answer:  10xy²

We can type 10xy^2 to mean the same thing.

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

Explanation:

The LCM of the coefficients 5 and 10 is 10. Note how 5 is a factor of 10.

For the variable portions, you select the terms that are unique and have the highest exponent. We have an x term with exponent 1 and y term with exponent as high as 2. So that's why we go with xy² as the variable portion.

Overall, we end up with an LCM of 10xy²

(1): "y2" was replaced by "y^2". 1 more similar replacement(s).

STEP
1
:
Equation at the end of step 1

((5 • (x2)) - 5xy) - (2•5y2)
STEP
2
:

Equation at the end of step
2
:

(5x2 - 5xy) - (2•5y2)
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

5x2 - 5xy - 10y2 = 5 • (x2 - xy - 2y2)

Trying to factor a multi variable polynomial :

4.2 Factoring x2 - xy - 2y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + y)•(x - 2y)

Final result :
5 • (x + y) • (x - 2y)

PLEASE HELP
Chau made $234 for 18 hours of work. At the same rate, how much would he make for 8 hours of work?

Answers

Answer:$104

Step-by-step explanation:

$234 : 18h

$___ : 8h

You will cross multiply 234 and 8, then when you get you answer you divide it by 18 It's called CROSS MULTIPLY AND DIVIDE...

i got 104 but i could be wrong

how does the equation h(x)=-(x,-3)2 + 4 compare to the graph of g(x)=x2?

Answers

Answer:

option A

Step-by-step explanation:

The curve h(x)=-(x,-3)2 + 4 has a negative coeff for the degree e term. So the curve ud opened downward

To express the function in normal form,

H = -SQ(X) + 6X - 5

So the y intercept is -5

To find the roots of H

H = -SQ(X) + 6X - 5

(x-1)(x-5) = 0

so the curve has x intercept at 1 and 5

Thus the max point is at x=3

so the curve is shift right by 3 units

{ the function g(x)=x2 has turning point (0, 0) }

since the max point is at x=3, sub x=3 into the function H,

the max point is (3, 4)

So the function H is shift up by 4 unit

based on the lesson identify the first operation needed to solve the following equation.
2x+3=11

Multiplication
Subtraction
Addition
division

Answers

Answer:

division

Step-by-step explanation:

2x=11-3

2x=8

divide both side

x=4

Answer:

the original answer is wrong the "FIRST" operation

would be a subtraction , followed by a division

Step-by-step explanation:

Plzzz help me with thiss

Answers

Answer:

that is an unusual question...

there is no table present... I will assume a 10x10 addition table

6.  up one row subtracts 10 right one column adds one... so

the result is "subtract 9"

7. same logic as "6" result "subtract 53"

8.

Step-by-step explanation:

Step-by-step explanation:

A typically addition equation is

[tex]x +y = z[/tex]

where x and y is the addends and z is the sum.

Addends both play a role in what the sum will be and they are interchangble.

A addition table have rows and columns. If we move right or down, our sum will increase. If we move left or up, our sum will decrease.

Now let answer the question.

6. If we move the up one row( which is horinzontial), our sum will decrease by 1 then if we right one column our sum will increase by 1. So this means each value will stay the same.

7. If we move up 5 rows, our sum will decrease by 5. If we move to left 3 columns, our sum will increase by 3. So all of our values will decrease by 2.

8. Write a 10 by 10 addition table.Highlight a number in any row. To add 5 to the number, either move right 5 columns or down 5 rowsTo subtract 9, either move left 9 columns or up 9 columns.

The number should be 4 less than you choose.

13. Jimmy is writing a paper for one of his classes. The paper has to be 3,000 words
long, and so far he has written 696 words. If he only has 6 more days to write
his paper and wants to write the same number of words each day, then how
many words must he write per day to finish the paper?

Answers

Answer:

500

Step-by-step explanation:

3000 divided by 6

Hope this helped, sorry if I'm wrong!

Answer: 384

Step-by-step explanation:

Subtract 3,000 by 696 to see how many words he has left.

3,000 - 696 = 2,304

Then divide 2,304 by 6.

2,304 ÷ 6 = 384

Your answer is 384 words each day.

no links please i cant seem to find the answer for this qn

Answers

Answer:

(a) is 15

(b) is 30

75 divide by 15 times 90 divide by 15 is 30

Answer:

Step-by-step explanation:

Highest common factor of 75 and 90 will be the largest possible length of the square.

75 = 5 * 5 * 3

90 = 3 * 3 * 2 * 5

GCF = 5 * 3 = 15

Length of the side of square = 15 cm

b) Number of squares =  Area of sheet ÷ Area of square

                                    [tex]= \frac{75*90}{15*15}\\\\= 5 * 6\\\\= 30[/tex]

Total number of square = 30

The area for the circle below is
in.2.

Use 3.14 for π and type your answer to the nearest tenth.
D = 5in
I NEED HELP OR I WILL FAIL

Answers

Answer:

19.63 inches

Step-by-step explanation:

The area of a circle is found by using the formula

A = πr²

r is the radius of the circle, which is the diameter divided by two.

D = 5 in so r = D ÷2

5 ÷ 2 = 2.5 inches for the radius.

A = π (2.5)²

A = π (6.25)

A = (3.14)(6.25)

A = 19.625 inches

Add the following numbers. 5 + (-12) =

Answers

Answer:

- 7

Step-by-step explanation:

5 + (- 12)

5 - 12

- 7


A business owner is paying for a dinner party that costs $212.00, including tax. If the tip is 20%, what is the total bill?

$218.40
$254.40
$276 60
$222.60

Answers

Answer:

$254.40

Step-by-step explanation:

Find the total bill by multiplying 212 by 1.2, which will calculate the cost included with the 20% tip:

212(1.2)

= 254.4

So, the total bill will be $254.40

Answer:

[tex]\$254.40[/tex]

Step-by-step explanation:

Since 20% as a decimal is 0.2, the total bill including tax is 1.2 times larger than the original bill.

Original bill of $212.00:

Final bill: [tex]212.00\cdot 1.2=\boxed{\$254.40}[/tex]

Which expression is equivalent to (q6)2

Answers

Answer:

q¹²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

(q⁶)²

Step 2: Simplify

Exponential Rule [Powering]:                                                                           q⁶⁽²⁾[Exponents] Multiply:                                                                                        q¹²

Answer :

q¹²

step-step explanation:

( q⁶)²

( use exponent rule ) multiply the exponents

q⁶ × ²

q¹²

Find the area of the triangle. Round your answer to the nearest tenth.
B
37 cm
410
А
37 cm
с
a. 449.1 cm2
b. 684.5 cm
C. 898.1 cm2
d. 595 cm

Answers

The answer would be A. 449.1 cm2.

Does this graph show a function? Explain how you know​

Answers

This graph does not show a function because it fails the vertical line test, and there are x-values that have more than one y-value.

make an equation and solve for x, 25 points.

Answers

Answer:

Equation : x + 40° + 91° + 53° = 180°

All angles in a triangle add up to 180°

The value of x is -4.

Now,

x + 40 + 91° + 53° = 180° ( Sum of three

angle of triangle is 180°)

x + 184 = 180

x = 180 - 184

x = - 4

This is a Right answer....

Mark me as brainliest...

I hope you understand...

Which equation can you use to solve for the volume of the cake?

A. 60 × 40 × 30 × 10 = V

B. (30 + 60 + 10) + (30 × 60 × 10) = V

C. (40 × 60 × 10) + (30 × 60 × 10) = V

D. (30 × 60 × 10) + (30 × 40 × 10) = V

Answers

Answer:

C. (40 × 60 × 10) + (30 × 60 × 10) = V

Step-by-step explanation:

Picture of the cake can be found in the attachment below :

To solve, we resolve the cake into two distinct boxes :

The lower which is lateral sits parallel, whose volume, = (length * width * height) = (60 * 30 * 10)

And the other which sits vertically ;

Volume = (length * width * height) = (10 * 60 * 40)

Then, we add;

Overall volume:

(60 * 30 * 10) + (10 * 60 * 40)

which expressions represents 15 more than the product 6 and 8



Please i need help ​

Answers

Answer:

x-15 = 48

or

x= 15 + (6*8)

Step-by-step explanation:

Pls vote as brainliest

Hi,

The correct answer is x=15 + (6x8)

Plot the point - 1 1/2 on the number line.

Answers

Answer:

smack dab in the middle of negative one and negative two :)

The given point -1 1/2  is present in the middle of the -1 and -2 points.

What is a number line?

A number line is a horizontal line in which integers are spread equally.

The given point is -1 1/2.

Hence, it is situated between points -1 and -2 on the number line.

To learn more about number lines, use the link given below:

https://brainly.com/question/13425491

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it's in the picture ​

Answers

Answer:

it D

Step-by-step explanation:

Trust me

djrjnfnzenngfzm

Help me please, it’s number 8

Simplify 52.54.5-3.

Answers

Answer:

125

Step-by-step explanation:

5² x 5^4 x 5^-3

25 x 625 x 0.008

= 125

The answer is one hundred and twenty five

(03.01 LC)

Which of the following is equal to √3√2? (4 points)

Answers

Answer:

D

Step-by-step explanation:

We are given:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}[/tex]

Recall the property:

[tex]\displaystyle \sqrt[b]{x}=x^{1/b}[/tex]

Hence:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=\sqrt{2^{1/3}}[/tex]

Using the same property:

[tex]\sqrt{2^{1/3}}=(2^{1/3})^{1/2}[/tex]

Recall the property:

[tex](x^a)^b=x^{ab}[/tex]

Hence, multiply:

[tex](2^{1/3})^{1/2}=2^{1/6}[/tex]

Therefore:

[tex]\displaystyle \sqrt{\sqrt[3]{2}}=2^{1/6}[/tex]

Our answer is D.

Answer:

The answer is [tex]2^{\frac{1}{6} }[/tex].

Step-by-step explanation:

To find which answer is equal to [tex]\sqrt{} \sqrt[3]{2}[/tex], start by simplifying [tex]\sqrt{} \sqrt[3]{2}[/tex]. The radical will simplify to [tex]\sqrt[6]{2}[/tex].

An easy way to determine which answer is correct, convert each of the numbers to decimal form.

For [tex]\sqrt[6]{2}[/tex], it will look like 1.122 in decimal form.

For [tex]2^{\frac{2}{3} }[/tex], it will look like 1.587 in decimal form.

For [tex]2^{\frac{3}{2} }[/tex], it will look like 2.828 in decimal form.

For [tex]2^{\frac{1}{3} }[/tex], it will look like 1.260 in decimal form.

For [tex]2^{\frac{1}{6} }[/tex], it will look like 1.122 in decimal form.

Then, by seeing which two decimal forms are the same, it causes the answer to be [tex]2^{\frac{1}{6} }[/tex].

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