the sum of six interior angles of a regular octagon is 800 the other two angles are equal find the size of each angle​

Answers

Answer 1

An octagon is a polygon with 8 sides and angles. The two equal angles are 140 degrees each

How to calculate the sum of an interior angle of a polygon?

An octagon is a polygon with 8 sides and angles

The formula for calculating the sum of interior angle of a regular polygon is expressed as:

S = (n-2) * 180

If the sum of six interior angles of a regular octagon is 800 the other two angles are equal, then;

800 + 2x = (8-2)*180

800 + 2x = 1080
2x = 1080 - 800
2x = 280
x = 140

The two equal angles are 140 degrees each

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Related Questions

Please help me anyone?

Answers

Answer:

1/26

Step-by-step explanation:

There are 52 cards....four are 9's      4/52

six possible rolls    three are even     3/6

4/52 * 3/6 =   1/26

Subtract these polynomials.
(x^2 + 5x + 2) - (5x^2 - x - 2)

Answers

Answer:

-4x^2 + 6x +4

Step-by-step explanation:

Answer:

=x^2+5x+2+−1(5x^2−x−2)

=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)

=x^2+5x+2+−5x^2+x+2

=x^2+5x+2+−5x^2+x+2

=(x^2+−5x^2)+(5x+x)+(2+2)

=−4x^2+6x+4

What is the value of z?
61°
310
to
25°
Lo
O

N

Answers

Answer:

C 31

Step-by-step explanation:

The value of the z-score tells you how many standard deviations you are away from the mean. If a z-score is equal to 0, it is on the mean. A positive z-score indicates the raw score is higher than the mean average. For example, if a z-score is equal to +1, it is 1 standard deviation above the mean.

What is the value of y in this system of equations?

Negative 6 x + 2 y = negative 18. Negative 3 x minus 2 y = 54.

Answers

Answer:

y = - 21

Step-by-step explanation:

System of equations:

- 6x + 2y = - 18

- 3x - 2y = 54

To find y will look to eliminate x:

- 6x + 2y = - 18

- 3x - 2y = 54   (multiply both sides by -2)

- 6x + 2y = - 18

 6x + 4y = - 108

---------------------------- (add those two equations)

        6y  =  - 126        (divide both sides by 6)

          y  =  - 126/6           (simplify by 6)

           y = - 21

   

Answer: -21

Step-by-step explanation:

help on this assignment i get confused on this

Answers

Answer:

See below:

Step-by-step explanation:

Y intercept    is 'short' for y-AXIS intercept...

 the line intercepts the y axis at d = 7 blocks

the slope =   change in y  / change in x

                          - 5           /      1           = - 5   (using the points on the graph)

Leroy's total job benefits were $50,150 last year. his total job expenses for traveling and for professional development for the year were $3,500. which of the following represents his total employment compensation? a. $46,650 b. $47,650 c. $50,150 d. $53,650

Answers

An expression has numbers, variables, and mathematical operations. The representation of Leroy's total employment compensation is $46,650.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As it is given that Leroy's total job benefits were $50,150. while his total job expenses for traveling and for professional development for the year were $3,500. As the total employment compensation is the amount that is the difference between job benefits and job expenses. Therefore,

[tex]\rm Total\ employment\ compensation= Job\ benefits + Job\ expenses[/tex]

                                                   [tex]= \$50,150 - \$3,500\\\\= \$46,650[/tex]

Hence, the representation of Leroy's total employment compensation is $46,650.

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Answer:

the representation of Leroy's total employment compensation is $46,650.

Step-by-step explanation:

9) 78% of what is 159 tons?

Answers

Answer:

78:159*100 =

(78*100):159 =

7800:159 = 49.06

Michael sold property for much more than he originally paid. The difference
between the price he paid for the property and the price for which he sold it is:
O simple interest.
O capital gains.
O capital goods.
O compound interest.

Answers

Answer:

Capital Gains

Step-by-step explanation:

selling for more than you bought is a gain

PLS HELP PLS I WILL GIVE BRAINLIST



Which punctuation mark goes in the space?


My sister stole a bunch of my things ______ my pants, shoes, and jackets.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semi-Colon ;


Period.





Which punctuation mark goes in the space?


My sister stole a bunch of my things ______ except my favorite blanket.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semi-Colon ;


Period.



Which punctuation mark goes in the space?


My sister stole a bunch of my things ______ because she's rude to me.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;





Which punctuation mark goes in the space?


My sister ____ who is rude to me, stole a bunch of my things.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;





Which punctuation mark goes in the space?


My sister stole my favorite thing ______ my jacket.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;


Period.






Which punctuation mark goes in the space?


If my sister steals one more of my things ______ I'm going to never talk to her again.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;




Which punctuation mark goes in the space?


I'm going to tell my dad ______ my mom - if my sister steals more of my things.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon




Which punctuation mark goes in the space?


My sister stole a bunch of my things ______ I'm going to tell my dad.


Group of answer choices


None


Comma ,


Dash -


Colon :


Period.




Which punctuation mark goes in the space?


My sister stole a bunch of my things ______ my dad will punish her for me.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;




Which punctuation mark goes in the space?


My sister stole a bunch of my things like ______ my pants, shoes, and jackets.


Group of answer choices


None


Comma ,


Dash -


Colon :


Semicolon ;

Answers

Answer:

1.colon

2. semicoln

3. comma

4. none

5. dash

6. comma

7. i am not sure but i think is a colon

8.comma

9. semicoln

10. dash

Step-by-step explanation:

You use colon when listing out something.

Sorry, I am not sure about this answer

Can someone please help me really quick I need help

Answers

Check the picture below.

pizzzzzzzzzzzzzzzzzzzzzzz help pizzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

1. The sum of the score is 667

2. ???

3. for her to have 95 on her last score the sum would be 762

4. ???

Step-by-step explanation:

1 = add all eight scores to get the sum

3 = add 95 to the sum of the eight scores

Pls help! This is due soon!

Answers

Answer:

A. 30°, 70° and 80°

B. 10cm

Step-by-step explanation:

A. the two triangle have same angles

so the angles of triangle 2 are 30°, 70° and 80°

B. the perimeter of triangle, is twice as long as the perimeter of

triangle 2

so the perimeter of triangle 2 is 20÷2 = 10 cm

Figure ABcD is a parallelogram. If point C lies on the line x=2, what is the y-value of point C?

Answers

the answer is 0 because rhe gradient would be the same as the top line

The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.

Given that a parallelogram ABCD is shown in the Cartesian plane.

The points are:

A = (-1, 2)

B = (2, 3)

C = (2, y)

D = (-1, -1)

We are asked to find the value of y in the point C.

To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.

The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:

slope = (y₂ - y₁) / (x₂ - x₁)

Let's calculate the slope of line AB and DC:

Slope of AB = (3 - 2) / (2 - (-1))

= 1 / 3

∴ Slope of DC = 1 / 3.

So,

1/3 = (y+1) / (2+1)

1/3 = (y + 1) / 3

y + 1 = 1

y = 0

Hence, we get the value of y in point C is 0.


[Note:- you can simply look at the graph and can determine the location of the point C]

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What is the Volume of the square pyramid? (Round to the nearest tenth as needed)

Answers

Answer:

5229 mm³

Step-by-step explanation:

Volume of square pyramid

[tex]\sf \boxed{Volume \ of \ the \ square \ pyramid = \dfrac{1}{3}*b^2*H}[/tex]

      b = base length = 25 mm

       H = height

         We have to find 'H' using Pythagorean theorem,

              slant height (hypotenuse) = 28 mm

                                                  leg₁ = base length  ÷ 2 = 25÷2 = 12.5

                                                  leg₂ = H

     H² + (12.5)² = 28²

                  H²   = 784 - 156.25

                         = 627.75

                   [tex]\sf H = \sqrt{627.75}[/tex]

                 H = 25.01 mm

          [tex]\sf \text{Volume of square pyramid =$\dfrac{1}{3}*25*25*25.1$ }[/tex]

                                                     = 5229 mm³

                                                     

       

[tex]\sf \boxed{\text{Volume of square pyramid = \dfrac{1}{3}*25*25*28}}[/tex]

Which solution can be simplified to determine when the object will hit the ground? t = t = t = t =

Answers

The solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60

What is projectile motion?

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. The object is called a projectile, and its path is called its trajectory

Projectile motion

We are told that the projectile motion of an object can be modeled using;

h(t) = gt² + v0*t + h0

Where;

g is the acceleration due to gravity

t is the time since launch

h(t) is the height of the projectile after time t

v0 is the initial velocity

h0 is the initial height.

Now, we are given;

The acceleration due to gravity; g = –9.8 m/s²

Initial velocity; v0 = 20 m/s

Initial height; h0 = 60 m

Hence solution can be simplified to determine when the object will hit the ground is; h(t) = -9.8t² + 20t + 60 h(t) = -9.8t² + 20t + 60

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Answer:

it's c on edge :] have a nice day

You want to take a trip to the beach, which costs $450. You
have $900 in your bank account but must withdraw $60
each week to pay for groceries. What is the maximum
number of weeks you can withdraw money and still have
enough to take your trip to the beach?


I need the inequality, inequality answer, final answer

Answers

Answer:

900 - 60n ≥ 450

n ≤ 7.5

Answer: 7 weeks

Step-by-step explanation:

Let n = numberof weeks.

In n weeks, you withdraw 60n from the account.

After withdrawing $60 for n weeks, teh amount must be at least $450. At least $450 means greater than or equal to $450.

900 - 60n ≥ 450

-60n ≥ -450

n ≤ 7.5

Answer: 7 weeks

I don't know what to do with this help I think it's right but

Answers

Answer:

Nice handwriting!

Step-by-step explanation:

I have no idea im only in 8th grade.

If the sum of a number and six is doubled, the result is two less than the number. Find the number.
X =

Answers

Answer:

-14

Step-by-step explanation:

let the number= X

from the statement,

(X+6)×2 = X - 2

open bracket

2X +12 = X- 2

2X-X = -2-12

X = -14

Find the length of the third side. If necessary, round to the nearest tenth.
24
ко

Answers

Answer: 26

Step-by-step explanation: The third length is the hypotenuse or the longest side

Phoebe is concerned that it the error is not fixed, her pay increase wll be less in future
years than it is supposed to be. If Phoebe continues
to work al the company and receives.
an increase of $0.75 per hour instead of a 5% increase. what will be the difference in her
hourly pay in 5 years? Show vour work.

Answers

The difference in the pay rate of Phoebe in 5 years will be $11850

How to calculate the pay?

Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:

= $20000 + (5% × $20000)

= $20000 + $1000

= $21000

When there is $0.75 increase per hour, the new pay rate on 5 years will be:

= (0.75 × 43800)

= $32850

The difference will be:

= $32850 - $21000

= $11850

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An airline gathers data on late departures and early arrivals over a month. it finds that the probability of a late departure is 12 percent, the probability of an early arrival is 27 percent, and the probability of both a late departure and an early arrival is 4 percent. which equation shows how to correctly calculate the probability of a late departure or an early arrival? p(late departure or early arrival) = 0.12 0.04 p(late departure or early arrival) = 0.12 0.27 p(late departure or early arrival) = 0.12 0.27 – 0.04 p(late departure or early arrival) = 0.27 0.04 – 0.12

Answers

The probability of a late departure or an early arrival P(late departure or early arrival) = 0.12 + 0.27 – 0.04

What is probability?

The probability is defined as the chances of occurence of any event from the sample.

Given: The probability of a late departure is 12 %t, the probability of early arrival is 27%.

i.e. P(late departure)=0.12

P(an early arrival)=0.27

The probability of both a late departure and an early arrival is 4 percent.

P(late departure and early arrival) =0.04

Now, using the formula the probability of the union of two dependent events A and B:-

[tex]\rm P(AUB)=P(A)+P(B)-P(A \cap B)[/tex]

i.e. P(late departure or early arrival) = P(late departure)+P(an early arrival)-P(late departure and early arrival)

=0.12+0.27-0.0.04

Hence, the required equation : P(late departure or early arrival) = 0.12 + 0.27 – 0.04

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The equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

Probability of late departure P(L) = 0.12

Probability of early arrival P(E) = 0.27

Probability of both a late departure and an early arrival P(L∩E)= 0.04

What is probability?

Probability is the measurement of the likelihood of an event.

P(L∪E)=P(L)+P(E)- P(L∩E)

Where P(L∪E) is the probability of a late departure or an early arrival.

So, P(L∪E)=0.12+0.27-0.04

Hence, the equation that shows how to correctly calculate the probability of a late departure or an early arrival is  P(L∪E)=0.12+0.27-0.04.

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Bags A and B contain some counters.
The number of counters on each bag is the same.
Work out the value of y

Answers

Answer: y=3

Step-by-step explanation:

It is a linear equation6y+1=4y+76y-4y=7-12y=6y=6/2y=3
6y+1=4y+7
6y-4y=7-1
2y=6
y=3

is 1/2 x + 6 > 11 equal to x=-3

Answers

Answer:

Rewrite the whole as an equivalent fraction 2.1 Subtracting a whole from a fraction. Rewrite the whole as a fraction using 2 as the denominator.

What is the gcf of 36 and 90

Answers

Just pick a number, divide and see if you can factor even more.
Since both are even numbers, choose an even number that both divide by.
Like 6

36/6 = 6
90/6 = 15

Can you factor 6 and 15 even more? Yes, by 3
6/3 = 2
15/3 = 5

Can you factor 2 and 5? No, that’s it.

So GCF is 6 * 3 = 18

Lets check:
36/18 = 2
90/18 = 5

Can you factor 2 and 5 even further? No, that’s it

So GCF is indeed 18

helloooo can someone help meeeeeeeee

Answers

Answer:

Option B, [tex](48x^{8}y^{5})[/tex]

Step-by-step explanation:

Step 1:  Simplify the exponent

[tex](12x^{2}y^{3})(2x^{3}y)^{2}[/tex]

[tex](12x^{2}y^{3})(2^{2}x^{3*2}y^{1*2})[/tex]

[tex](12x^{2}y^{3})(4x^{6}y^{2})[/tex]

Step 2:  Simply the expression

[tex](12x^{2}y^{3}*4x^{6}y^{2})[/tex]

[tex](48x^{2+6}y^{3+2})[/tex]

[tex](48x^{8}y^{5})[/tex]

Answer: Option B, [tex](48x^{8}y^{5})[/tex]

A GIC pays 6% per annum. How long would it take $3000
to grow to $6000? (3 marks)

Answers

Answer:

180 weeks you have to convert the percentage to a decimal and multiple it to 3000

I NEED HELP WITH THIS

Answers

Answer:

Step-by-step explanation:

a) 147

b)147

c) 152

d)65

Answer:

a) mean = 147

b) median = 147

c) mode = 152

d) range = 65

Step-by-step explanation:

firsly let’s arrange the numbers of the set in ascending order:

117 , 119 , 138 , 142 , 152 , 152 , 174 , 182

a)

[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]

b) the median is the average of the two middle numbers :

[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]

[tex]median=\frac{142+152}{2}= 147[/tex]

c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set

d) the range of a set is the difference between the highest and lowest numbers :

Then

the range = 182-117 = 65

A penquin dives at 18 feet per minute how many minutes does it take to
dive to -54 feet?

3 Minutes

30 Seconds

5 Minutes

4 Minutes

Answers

Answer:

The answer would be (D) 4 minutes.

Step-by-step explanation:

18 x 4= 54

I have had this question before have an amazing day!!!!

ASAP worth 50 points

Answers

Answer:

32.5 square feet

Step-by-step explanation:

Area of a trapezoid

1/2 x (a + b) x ha and b = length of parallel sidesh = height

Solving

Here : a = 5, b = 8, and h = 5Area = 1/2 x (5 + 8) x 5Area = 1/2 x 13 x 5Area = 65/2Area = 32.5 square feet

Answer:

32.5 square feet

Step-by-step explanation:

here we just find the area of both shapes within the trapezoid and add them, let's start with the triangle,

formula for the area of a triangle is 0.5 × base × height

therefore,

the area of the triangle is 7.5

the area of a square is equal to the length of the side squared.

5^2 = 25

the sum of 25 + 7.5 = 32.5

final answer is 32.5 square feet

if you need any further guidance make sure to ask:)

pls help me with this!

Answers

Answer:

0.69

Step-by-step explanation:

In a right triangle, the cosine of one of the acute angles is the ratio of the adjacent ("next to") side to the hypotenuse.

In this triangle, the side adjacent to angle T has length [tex]\sqrt{38}[/tex].  Now you need the length of the hypotenuse, ST.  Use the Pythagorean Theorem:

[tex]ST^2=(\sqrt{38})^2+(\sqrt{41})^2 \\\\ST^2=38+41\\\\ST=\sqrt{79}[/tex]

Build the ratio (adjacent) / (hypotenuse) and approximate it with a decimal.

[tex]\cos{T}=\frac{\sqrt{38}}{\sqrt{79}} \approx 0.69[/tex]

[tex]{\large{\red{\mapsto{\maltese{\underline{\green{\boxed{\blue{\underbrace{\overbrace{\pink{\pmb{\bf{Answer:}}}}}}}}}}}}}}[/tex]

To find :-

Cos T = ?

Given :-

Perpendicular(P) = RS = √41

Base(B) = RT = √38

Formula to be used :-

We will use here a trignometry formula to find hypotenuse (H) which is ST.

(hypotenuse)² = (perpendicular)² + (base)²

[tex] \cos(A) = \frac{base}{hypotenuse} [/tex]

Solution:-

H² = P² + B²

H² = (√41)² + (√38)²

H² = 41 + 38

H² = 79

H = √79

[tex] \cos(T) = \frac{B}{H} \\ \cos(T) = \frac{ \sqrt{38} }{ \sqrt{79} } \\ \cos(T) = \frac{6.17}{8.89} \\ \cos(T) = 0.69[/tex]

Result :-

The value of cos(T) is 0.69.

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