He sum of seven interior angle measurements in an octagon equal 845º. What is the angle measurement of the 8th angle?

Answers

Answer 1

Answer: [tex]235^{\circ}[/tex]

Step-by-step explanation:

Given

The Sum of the seven interior angles of an octagon is [tex]845^{\circ}[/tex]

for a Polygon, the sum of the interior angles is given by [tex](n-2)180^{\circ}[/tex]

for octagon, n=8

The Sum of interior angles is [tex](8-2)360^{\circ}=1080^{\circ}[/tex]

Suppose the eighth angle be [tex]x[/tex]

[tex]\therefore x+845=1080\\\Rightarrow x=235^{\circ}[/tex]

The [tex]8^{th}[/tex] angle is [tex]235^{\circ}[/tex]


Related Questions

X + 8 = -6

need this asap ty

Answers

Answer:

Solution given:

x+8=-6

x=-6-8=-14

Answer:

X = -14

Step-by-step explanation:

There are 6 children on a bus. Each child is wearing a hat. What fraction of the children on the bus are wearing a hat?

Answers

Answer:

6/6

Step-by-step explanation:

if there are 6 children, and each of them are wearing a hat, that means there are six children wearing hats, out of the six children on the bus. so the answer would be 6/6.

All 6 childrens in the bus are wearing a hat.

What is algebraic expression?

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that there are 6 children on a bus. Each child is wearing a hat.

Total number of children in the bus = 6

Number of children wearing a hat = 6

Fraction of children wearing a hat -

n = (Number of children wearing a hat/Total number of children in the bus)

n = 6/6

n = 1

Therefore, all 6 childrens in the bus are wearing a hat.

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Do the following side lengths form a triangle?
2 inches, 3 inches, 4 inches

Answers

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

It makis a right triangle

Someone help me pls

Answers

Answer:

i can np

Step-by-step explanation:

HELP!

The length of a rectangle is 6 cm longer than its width.

The area of the rectangle is 135 cm².

What is the width of the rectangle?

Enter your answer in the box.

Answers

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

An envelope has a perimeter of 30 inches. Its area is 50 square inches. What are the dimensions of the
envelope?
inches by
inches

Answers

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

Answer:

The dimensions of the envelope are 5 by 10 inches.

Step-by-step explanation:

Perimeter formula for a rectangle:  P = 2W + 2L

Area formula           '    "          "         A = W*L

Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L

Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L

But 15 = W + L, or 15 - L = W.  Substitute this result for W in the equation W = (50 in)/L:  

We get (50 in)/L = 15 - L

Multiplying both sides by L eliminates the fraction:

50 in = 15L - L^2, or

L^2 - 15L + 50 = 0

This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5.  Because 15 - L = W, W is either 10 or 5.

The dimensions of the envelope are 5 by 10 inches.

Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. The Jackson family bought 2 adult tickets and 6 student tickets. What was the difference in the amount spent by the two families?

A. $1
B. $24
C. $36
D. $48

Answers

Answer:

A

Step-by-step explanation:

why do I have to write for it to send

The answer is A. $1
The wilson family bought 3 adult tickets and 4 student tickets
9x3=27
4x5=20
27+20=47

The Jackson Family bought 2 adult tickets and 6 student tickets
9x2=18
6x5=30
18+30=48

so $48-$47=$1

Hi
Can you help me with this ?
thank you
Have a nice day ​

Answers

25°>>>>>>>>>>>>>>>>>>>>

On expression that is equal to 5.1 - 5.9

Answers

Answer:

5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8

Hope this helps ヾ(•ω•`)o - Six

The area of these shapes are?

Answers

Answer:
Figure 1:
Area = 390ft^2

Figure 2:
Area = 325.17 ft^2

Lisa, Kelly, and Maria have $56.70. If Lisa has $23.20 and Kelly has $15.05, which equation shows how much money, n, Maria has

Answers

Answer:

38.25+n=56.70

Step-by-step explanation:

23.20+15.05+n=56.70

38.25+n=56.70

Answer:

Maria has $18.45.

Explanation:

All three of them have $56.70 all together.

So you would want to add Lisa's amount with Kelly's amount to get how much they have together.

23.20 + 15.05 = 38.25

Then you take the amount of money Lisa and Kelly has together and subtract it from the total amount of money all three of them have together to get Maria's amount.

56.70 - 38.25 = 18.45

Maria has $18.45.

Check:

Add all three of there money amounts together and if you get $56.70 you got the right answer.

23.20 + 15.05 + 18.45 = 56.70

Billy is saving up to buy a new cell phone he has $45 right now and he can save $6 each month if billy wants to buy a new phone that costs $63 how many months does he have to save up

Answers

3 months is what it takes him to buy the phone

can I please get some help and correct me if I’m wrong with number 1 and 2

Answers

1) correct
2) -3
3) 15/7
4) -10

Answer:

the answer on 1. is correct

number 2. is -3 not 3

A local bakery charges $2.75 per cupcake.
Which equation best represents y, the total cost
of x number of cupcakes?
A.
y = 2.75 + x
B.
y = 2.75x
C.
x = 2.75y
D.
x = 2.75 + y
Mond

Answers

Answer:

B

Step-by-step explanation:

y = 2.75x

have a great day

Answer:

B. y = 2.75x

Step-by-step explanation: Since Y represents the total cost that means that the total cost is how ever many cupcakes one were to buy. Since each cupcake is $2.75 and you are buying X amount of cupcakes, the total would be 2.75 ~multiply~ X. Thus, giving you your final answer of y=2.75x.

plzzz help me with this someone!!!!!!!!!!!!!!!!!!!! except the stalker who keeps stalking and if he or she does it again i'm going to reported them!!!!!!!!!!!!!!!!!!! Anyway some help me!!!!! and i'll give you 5 stars?!

Question: You need to buy some fabric to make the masks. You know that you can make 3 1/2 masks with 2 yards of fabric, but you want to make 80 masks. How much fabric do you need to buy?!

Answers

Answer: 23

Step-by-step explanation:

23 yards will give you 80.5 masks, anything less than 23 will give you less than 80 masks.

Also, do you have a link to their page or something? I'm trying to report because they have been bothering multiple people. Would be much appreciated. :)

Ferdinand is playing golf. He hits a shot off the tee box that
has a height modeled by the function h(t) = –16t2 + 80t,
where h(t) is the height of the ball, in feet, and t is the time
in seconds it has been in the air. The graph that models
the golf ball's height over time is shown below.

When does the ball reach its maximum height?

What is the maximum height of the ball?

Answers

Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

A man's basic wage for a 40-hour week is $160.00. He is paid $5.00 per hour for overtime. If He works 6 1/2 hours overtime in a certain week, his wage for that week is?

Answers

$192.50




Blah blah blah blah blah blah

Answer:

im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.

Step-by-step explanation:

6.5 hours x 5/hr$ = 32.5$ + 160$

A recipe uses 5 cups of flour , Nadia is making 1/2 of the recipe . How many cups of flour does Nadia need ? Move numbers to the boxes to show the answer . If there is no whole number , put a in the first box​

Answers

Answer:

2.5 rounds to 3

Step-by-step explanation:

5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 3.

7. If K-
key mov? is the formula for kinetic energy, find the mass (m) of the object if the
kinetic energy (K) is 3872 joules and the velocity (V) is 22 meters/second.
A. 4 kilograms
B. 88 kilograms
C. 352 kilograms
D. 16 kilograms

Answers

B. 88 kilograms .....

Solve the inequality -2n > -6

A. n>3
B. n>-3
C. n<3
D. n=3

Answers

The answer is C ... or you could say n<3

6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?​

Answers

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Identify the TWO errors Lin made while solving.

Lin’s solution:

Answers

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

Step-by-step explanation:

[tex]8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} [/tex]

The initial number of views for a blog was 10. The number of views is expected to grow at a rate of 15% per week. How many views are expected in 5 weeks?

Answers

Answer:

20 views

Step-by-step explanation:

Initial number = 10Weekly growth rate = 15% or 1.15 times

Equation for this relationship:

V(t) = 10*1.15^t, where t - number of weeks

Number of views in 5 weeks:

V(5) = 10*1.15^5 = 20 views (rounded)

What value on the number line is the
same distance from 0 as -3.75

Answers

0 as 3.75 I think, I hope I helped

Answer:

3.75

Step-by-step explanation:

|-3.75|=3.75

Which transformation(s) preserve the size & shape of the pre-image?
**SELECT ALL THAT APPLY** *
Translation
Rotation
Reflection
None

Answers

Answer:

rotation and reflection

You want to take 12 shirts, but you can only fit 3 in your suitcase. How many different ways can you choose shirts to pack?

Answers

Answer:

220 ways.

Step-by-step explanation:

This can be gotten by using the formula of combination in statistics.

The formula for combination is given below

nCr = n! / r!(n - r)!, where

r = total number of object, and

n = number of objects we're choosing from

Applying this to the question we have

12C3 = 12! / 3!( 12 - 3)!

12C3 = 12! / 3! * 9!

12C3 = 220

Therefore, we can choose to pack the shirts in 220 different ways

The circle's radius is 10 units. Find the length of RH . You may use a calculator's pi button or 3.14 for pi, then round your answer to the nearest tenth.

Explanation please!

Answers

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

3:9

Total amount of shapes there are: 9
Amount of triangles there are: 3

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

Please Mark Brainiest

The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

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Which speed is the fastest?
180 miles/3 hours
240 miles/6 hours
90 miles/2 hours
30 miles/1 hour

Answers

Answer:

180 miles/ 3 hours

Step-by-step explanation:

180 miles / 3 hours is the same as 60 miles per hour

240 miles /6 hours is the same as 45 miles per hour

90 miles / 2 hours is the same as 45 miles per hour as well

and 30 miles per hour just stays like that.

Therefore, 180 miles per  3 hours is the correct answer

Answer:

180/3

Step-by-step explanation:

Hope it helped you have a nice day!<3

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