If the exterior angles of a convex octagon are x +12, 2x-3, 3x +10, 3x +15, 2x - 19, 4x-1, 4x - 10, and 6x, calculate the largest of the eight angles.

Answers

Answer 1

Answer: Largest exterior angle is 85.44 degrees

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

Explanation

Rule: The exterior angles of any polygon always add to 360 degrees

Based on that rule, we simply add up the 8 expressions given to us and set that sum equal to 360. Then we solve for x

(x+12)+(2x-3)+(3x+10)+(3x+15)+(2x-19)+(4x-1)+(4x-10)+(6x) = 360

(x+2x+3x+3x+2x+4x+4x+6x)+(12-3+10+15-19-1-10) = 360

25x+4 = 360

25x = 360-4

25x = 356

x = 356/25

x = 14.24

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

Once you determine the value of x, you plug that into each of the 8 exterior angle expressions

x+12 = 14.24+12 = 26.242x-3 = 2(14.24)-3 = 25.483x+10 = 3(14.24)+10 = 52.723x+15 = 3(14.24)+15 = 57.722x-19 =  2(14.24)-19 = 9.484x-1 = 4(14.24)-1 = 55.964x-10 = 4(14.24)-10 = 46.966x = 6*(14.24) = 85.44

In short we have these 8 exterior angles

x+12 = 26.242x-3 = 25.483x+10 = 52.723x+15 = 57.722x-19 = 9.484x-1 = 55.964x-10 = 46.966x = 85.44

We see that 85.44 degrees is the largest exterior angle (which is the angle that corresponds to the 6x). This makes sense because the 6 is the largest x coefficient compared to something like 2x-3 or 3x+10 which have x coefficients of 2 and 3 respectively.


Related Questions

find the gradient and y intercept of 3x+4y=5

Answers

Answer:

gradient = - [tex]\frac{3}{4}[/tex] , y- intercept = [tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

3x + 4y = 5 ( subtract 3x from both sides )

4y = - 3x + 5 ( divide terms by 4 )

y = - [tex]\frac{3}{4}[/tex] x + [tex]\frac{5}{4}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{3}{4}[/tex] and y- intercept c = [tex]\frac{5}{4}[/tex]

Find d^2y/dtheta^2 if y=sin^5

Answers

Answer:

20 sin³O. cos²O - 5sin⁵O

Step-by-step explanation:

y = sin⁵O

Using the Chain Rule

dy/dO = 5 sin⁴O cosO

Using the Product / Chain rules:

d²y/dO² = 20 sin³O.cosO . cos O+ 5 sin⁴O * - sin O

= 20 sin³O. cos²O - 5sin⁵O

Fern bought groceries that cost $14.38. She paid the
store clerk, Ping, with a $20 bill. Ping makes change by
saying
2 pennies makes the total $14.40.
6 dimes makes it $15.00, and
6 dollars makes it $20.
pril
Did the clerk make a mistake in giving Fern her change?
You may use the scratchpad to show your work.
No, she received $6.62 in change.
8
Yes, Ping should give Fern 6 pennies and 2
dimes.
Yes, Ping should give Fern 3 dimes and 8
pennies.
Yes, Ping should give five one-dollar bills, not
SIX

I NEED HELP ASAP SOMEONE ANSWER AS SOON AS YOU CAN MAYBE YEA THANKS BYE

Answers

Answer:

Yes, Ping should give five one-dollar bills, not

SIX

Step-by-step explanation:

I answered this question on

https://brainly.com/question/23795763

It wasn't the same question but yes

Slope of (-5,12), ( -9, 16)

Answers

The slope is -1
hope this helps

5(x+y)-3(x-y) A. 2x B. 2x+2y C. 2x+8y D. 8x+8y​

Answers

the answer is 2x+8y Or C

hope it helps !! i wanted to put the step by step but it’s too much to type :(

how do you write an expression that is equivalent to -h-7(3h-4)

Answers

Answer:

-3[tex]h^{2}[/tex] -17h + 28

Step-by-step explanation:

Evaluate the expression below when y = 3. If needed, answer as a fraction or a decimal.
y⋅5y+2

Answers

Answer:

-10

Step-by-step explanation:

y-5y+2

=3-5 x 3+2

Using the rule of BODMAS

=3-15+2

=3-13

= -10

OladipoSeun♡˖꒰ᵕ༚ᵕ⑅꒱

two dice are rolled write the sample space and number of sample points also write events and number of sample points in the event according to the given condition sum of the digits of upper faces is a prime number , sum of the digits on the upper face is a multiple of 5 , sum of the digits on the upper face is 25 and digit on the upper face at the first die is less then then the digit on the second die​

Answers

Answer:

S={(1,),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),}n(S)=36

E = { (1,1), (1,2), (1,4), (1,6), (2,1), (2,3), (2,5), (3,2), (3,4), (4,1), (4,3), (5,6), (6,1), (6,5)}, n(E) = 15

Step-by-step explanation:

thats the answer

Copy and complete plss

Answers

Answer:

Step-by-step explanation:

to find increased percent

increase amount = $70 - $40

=$30

increase percent = increase amount /original amount *100%

=30/40 *100%

=3000/40

=75%

to find decrease percent

decrease amount = $70 - $40

=$30

decrease percent = decrease amount /original amount *100%

=30/70 *100%

=3000/70

=42.85 %

What is the simplest radical form of the expression? (8x5y3)23

Answers

This may be incorrect, so sorry if it is! The answer I got is 2760y.

which of the following is the correct graph of the linear equation below? y+2=1/5(x+1)

Answers

Answer:

Step-by-step explanation:

This almost should be reported. But here is the graph you are looking for.

It has to have a y intercept of about -2 and an x intercept of   9.

Solve for y.
3= y+7 divided by 3

Y=

Answers

Answer:

y=2

Step-by-step explanation:

3 = (y+7)/3

Multiply each side by 3

3*3 = (y+7)/3 *3

3*3 = y+7

9 = y+7

Subtract 7 from each side

9-7 = y+7-7

2 =y

Answer:

2 = y

Step-by-step explanation:

3 = y + 7 ÷ 3

multiply both side of equation by 3

3 × 3 = y + 7 ÷ 3 / 3

9 = y + 7

subtract 7 from both side

9 - 7 = y + 7 - 7

2 = y

Anyone know the answer to this?

Answers

Answer:

Diameter : 22.568 cm

Step-by-step explanation:

Hope this Helps!

Can anyone help me out

Answers

Answer:

4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

j/k - 0.2k

j = 25

k = 5

Step 2: Evaluate

Substitute in variables:                                                                                     25/5 - 0.2(5)Divide:                                                                                                               5 - 0.2(5)Multiply:                                                                                                               5 - 1Subtract:                                                                                                            4

help soon its for my grade Draw 2u –1/3v

Answers

Vectors are elements of the vector space, and they can be illustrated by diagrams.

How to draw 2u - 1/3v

The vector expression is given as:

[tex]2u - \frac 13v[/tex]

Split the vector expressions, as follows:

[tex]y_1 = 2u[/tex]

[tex]y_2 = - \frac 13v[/tex]

See attachment for the graphs of y1 and y2.

Next, we have:

[tex]y = 2u - \frac 13v[/tex]

This gives

[tex]y = y_1 + y_2[/tex]

The above expression means that, we add the vectors y1 and y2 to get vector y

See attachment for the graph of [tex]2u - \frac 13v[/tex]

Read more about vectors at:

https://brainly.com/question/14480278

What is the area of the polygon given below?

Answers

Answer:

C, which is 340!

Step-by-step explanation:

Split the polygon into two rectangles to make it easier (see the attachment below), and calculate the areas of both rectangles. Then add the areas of the two rectangles, 264+76=340. So the answer is 340 square units, or C. Hope this helped!! :)

The area of polygon = 340 square units.

How to estimate the area of the polygon?

Area of rectangle = Length [tex]\times[/tex] [tex]\tmes[/tex]breadth

Area of rectangle (side A) = 19 [tex]\times[/tex] 4 = 76

Area of rectangle (Side B) = 24 [tex]\times[/tex] 14 = 264

To estimate the area of the polygon, add both of the equations then we get

Area of the polygon

= Area of a rectangle (side A) + Area of a rectangle (Side B)

= 76 + 264

Area of the polygon  = 340 square units.

Therefore, the correct answer is option C. 340 square units.

To learn more about polygon

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1
63°
m
n
find the value of x


Answers

Answer:

I believe its 63°......,.,..,.,.,.,

somebody help me out !

Answers

Answer:

224

Step-by-step explanation:

Hello!

To find f(-7) you simply plug the value, -7, into the function.

This will get you:

f(-7) = 4(-7)^2 - 4(-7)

Remember that the square of a negative number is a positive! Also, remember to use the order of operations (PEMDAS)!

This will get you:

f(-7) = 4(49) - 4(-7)

f(-7) = 196 - (-28)

f(-7) = 224

Hope this helps!

Helppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1/ 3^6

Step-by-step explanation:

We know that a^b / a^c = a^(b-c)

3^-7 / 3^-1 = 3^(-7 - -1) = 3^(-7+1) = 3^(-6)

We know that a^ -b = 1/ a^b

3^-6 = 1/ 3^6

what is factorial of 100​

Answers

Answer:

9.332621544^157

Step-by-step explanation:

formula to calculate factorial : n×(n-1)×(n-2)×(n-3)...3×2×1

So,

100×(100-1)(×100-2)×(100-3)...3×2×1

100×99×98×97×3×2×1

=564,656,400 Answer

A golf ball has a diameter of 42.67 millimeters and a mass of 45.93 grams.what is the number of grams per cubic millimeter of the material used to make the golf ball?

Answers

1010 lalalalalkalalal

The density of golf ball is 0.000113 gm/mm³

What is volume ?

Volume is a three dimensional space occupy by the body of particular shape such as here :

volume (V) of sphere with radius r : 4πr³/3

it is given that :

golf ball has a diameter d of = 42.67 millimeters

r = d/2 = 21.33 mm

golf ball has a mass m of = 45.93 grams

First, let us find the volume of the golf ball can be determined using the formula:

V = 4πr³/3

Substituting r = 21.33mm, we get;

V = 4π(21.33)³/3

V = 40650 mm³

Now, to find the number of grams per cubic millimeter of the material used to make the golf ball we find the density of golf ball :

ρ = m/V

ρ = 45.93/40650

ρ = 0.000113 gm/mm³

Therefore, the density of golf ball is 0.000113 gm/mm³

Learn more about volume here:

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Brainliest!
5 1/3 - 1 3/4

3 10/12
3 7/12
4 2/12
4 5/12

Answers

Answer:

3 7/12

Step-by-step explanation:

5 1/3  =  16/3 =  64/12

1 3/4  =  7/4  =   21/12

64/12 - 21/12 = 43/12

43/12 = 3 7/12

 

Answer:

3 7/12

Step-by-step explanation:

Round to the nearest tenth. I need help ​

Answers

Answer:

118.0

Step-by-step explanation:

using Trigonometry,

[tex]x = 99tan(50) \\ = 118.0[/tex]

What is the equation of a circle with center (-4, 7) and radius 6?

Answers

Answer:

(x +4)^2 + (y-7)^2 = 36

Step-by-step explanation:

The equation of a circle is of the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- -4)^2 + (y-7)^2 = 6^2

(x +4)^2 + (y-7)^2 = 36

Distance travelled by light in a year.​

Answers

that light travels a distance of (9,460,528,000,000 km) or (5,878,499,817,000 miles) in a single year. Hope this helped you!

Answer:

9.7 trillion kilometers

Step-by-step explanation:

The distance travelled by light in a year is 9.7 trillion kilometers (6 trillion miles).

The circumference of circle T is 180 units.

What is the area of the shaded sector?
A. 2 square units
B. 900 square units
C. 3240 square units
D. 8100 square units

Answers

The correct answer to your problem will be B

Brainliest, 50 points

Answers

10y+50

Answer:

10(y+5)=10y+50

just

multiplying both by 10.Use distribute property.

Answer:

10 y + 50

Step-by-step explanation:

10 ( y + 5 )

multiplying both by 10

10 × y + 10 × 5

10 y + 50

Find the product of √6*√12. A.36√2. B.6√2. C.5√6. D.4√18.​

Answers

answer is

B. 6√2

hope this helps!

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

[tex]y=-\frac{4}{3} x+2[/tex]

Step-by-step explanation:

In order to write an equation that represents a line, you have to write it in Slope-Intercept Form.

Slope-Intercept Form: y = mx+b

Where b represents the Y-intercept

Where m represents the Slope

**********************************************

That's all you need to know about Slope-Intercept Form!

How do we get started?

Well first off, take a look at the graph and spot two points that are shown

The two points will be: (0, 2) and (3, -2)

Then use the two points to Solve for the Slope of the line!

m = slope

m = [tex]\frac{y2-y1}{x2-x1}[/tex]       Second y - first y/ Second x - First x

m = [tex]\frac{-2-2}{3-0}[/tex]        

m = [tex]\frac{-4}{3}[/tex]           Turn the whole answer negative since there's a negative

m = [tex]-\frac{4}{3}[/tex]           Final Answer

so the slope of the line is -4/3

Now we need to get the Y-intercept of the line!

Easy we don't need to solve just look how many units the graph goes up in y-axis?

2 units

so the y-intercept of the line is 2

Equation: y = -4/3x + 2

How do I solve a system of equations algebraically with a substitution method and then write it as a coordinate point?

y = 3x -17 and y = -2x + 8

Answers

To solve it using substitution, you need to plug in one of the equations for y on the other. Since they both equal y, that means the equations also equal each other.

It would be:

3x - 17 = -2x + 8

Then solve. First you can add 2x to both sides.

5x - 17 = 8

Add 17 to both sides

5x = 35

Divide both sides by 5.

x = 5


Since we now have x, we can find y by plugging in 5 for x in any of the equations. I will use y = -2x + 8

y = -2(5) + 8

y = -10 + 8

y = -2


We now have both x and y. As a coordinate point, it would be (5, -2).
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