Find the sum of interior angles of a 10-sided figure. Explain what formula you used to get the answer.

Answers

Answer 1

Answer: 1440°

Step-by-step explanation:

To solve the above question, we'll use the formula (n-2) × 180. In this question, we are told that it has 10 sides. This implies that n= 10. Therefore, using the formula goes thus:

= (n - 2) × 180

where, n = 10

= (10 - 2) × 180

= 8 × 180

= 1440


Related Questions

HELP PLEASE!!! 100 POINTS

Answers

Answer:

3,400

Step-by-step explanation:

Answer: 10.5882353 I think I DO NOT PROMISE THIS IS RIGHT

Step-by-step explanation:

1 of 10
Factorise
C2 – 49
1

Answers

Answer:

The factorization of the given expression is [tex](c - 7)(c+7)[/tex].

Step-by-step explanation:

Consider the provided information.

[tex]c^2-49[/tex]

Use the formula of the difference of the square in order to factorize the given expression: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]c^2-49=c^2 - 7^2[/tex]

[tex]c^2-49=(c - 7)(c+7)[/tex]

Hence, the factorization of the given expression is [tex](c - 7)(c+7)[/tex].

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius holds 1½ pints, how many gallons will a similar can with a 24-inch radius hold?

Answers

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

My friend needs help plz answer

Answers

Answer:

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

Ask me if you need more help!

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

Select all numbers that have an absolute value of 0.75.
Choose all answers that apply:
7
5
B
7.5
-0.75
D
0.75

Answers

Answer:

d

Step-by-step explanation:

because it's the same number

The absolute value of the number 0.75 is 0.75 .

What is an absolute value?

Absolute value of a number is the distance value from zero without considering sign of a number. It is also represented as |x|, where x is any number.

Absolute value of a positive number is that same positive value. Distance of a positive number from zero is that positive number.

So absolute value of 0.75;

|0.75| = 0.75

Therefore, the absolute value of the number 0.75 is 0.75 .

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Mikah is proving the base angles of this triangle are congruent.

In isosceles triangle QRS, RT is the angle bisector of ∠QRS. Mikah begins the proof by stating ∠1≅∠2. What is a valid reason for this statement?

A. Definition of Angle Bisector

B. Reflexive Property of Congruence

C. Symmetric Property of Congruence

D. Corresponding angles are congruent.

Answers

Answer:

its B

Step-by-step explanation:

What is the mean of the data set? 300, 222, 285, 310, 345. Round to the nearest tenth.

Answers

Answer:

292.4

Step-by-step explanation:

Answer:

292.4

Step-by-step explanation:

Use the mean formula: sum of elements / number of elements

Plug in the numbers:

(300 + 222 + 285 + 310 + 345) / 5

1462 / 5

= 292.4

So, the mean is 292.4

isaac walks 6/10 of a mile in 1/5 of an hour. if his rate remains constant what is the walking rate in mph?

Answers

Answer A. 3 mph

A. 3 mph

–7 y = –28


Answer:
y = ?

Answer the ? Mark pls

Answers

Answer:

y=4

Step-by-step explanation:

-28 divided by -7 equals to 4

Hope this helps!!

Answer: y = 4

Step-by-step explanation:

-7y/-7 = -28/-7 So, Both the -7's cancel out and your left with y= you divide -28 by -7. When you divide both of the numbers you get a positive 4.

Pls Help!! Will mark Brainliest!!
Hopefully it will show the pic this time

Answers

Answer:

Question 7: Company A has a lower rate

Question 8: Caiden's vehicle gets more miles per gallon

Step-by-step explanation:

Question 7:

According to the table for Company B's rates, if you divide the total cost by the square footage in each row, you would get $2.75/ft² each time. Therefore, Company A would charge the Smiths a lower cost per square foot.

$2.25/ft² < $2.75/ft²

Company A < Company B

Question 8:

Using the given equation, we already know that Caiden's vehicle has a gas mileage of 16.2 miles/gallon The graph for Ethan's gas mileage can be figured out using slope. Taking the points (0, 0) and (2, 30) on the line, we can figure out the line's slope.

slope = rise/run,

where "rise" is how much you add or subtract to get from the first y-value to the second, and "run" is how much you add or subtract to get from the first x-value to the second.

slope = rise/run

slope = 30/2

slope = 15/1

The slope of the line is 15, so that means the line's equation is y = 15x. Therefore, Ethan's gas mileage is 15 miles/gallon.

16.2 mpg > 15 mpg

Caiden > Ethan

whats 43.6 rouded to the nest tenth

Answers

Answer:

43.6

Rounded to the nearest 0.1 or

the Tenths Place.

find QR. help please and thank you<3

Answers

Answer:

QR = 1.3

Step-by-step explanation:

Sides TQ and TS are congruent, thus Δ QST is isosceles.

RT is a perpendicular bisector, that is it bisects QS at right angles, thus

QR = RS = 1.3

The measure of length of QR is 1.3 units.

What is an isosceles triangle?

Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.

In the given triangle TQS, QT=TS=4.7 units, so triangle TQS, isosceles triangle.

In isosceles triangle TQS, TR is the perpendicular bisector.

Then QR=RS= 1.3 units

Therefore, the measure of length of QR is 1.3 units.

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complete the addition equation that represents the associative property

Answers

1). 7....12
9....11
2). 8....9
3....9
That should be correct try that

can someone 10points!!!!

Answers

Answer:

it would be 19/15k

Step-by-step explanation:

Answer:

Hi! I think it's 15/8t and 19/15k

please help me! Which triangles are similar to



A

B

C

△ABCtriangle, A, B, C?


43

°

43°

86

°

86°

A

A

B

B

C

C

Choose 1 answer:

Choose 1 answer:


(Choice A)

A


86

°

86°

43

°

43°

E

E

D

D

F

F




D

E

F

△DEFtriangle, D, E, F only


(Choice B)

B


86

°

86°

51

°

51°

G

G

H

H

I

I




G

H

I

△GHItriangle, G, H, I only


(Choice C)

C

Both


(Choice D)

D

Neither

Answers

Answer:

Triangle ABC and triangle EDF

The similar triangles are Δ ABC ~ Δ EDF ~ Δ GHI, both the triangles are similar to Δ ABC.

What are similar triangles?

Triangles are similar when their corresponding sides are equal ratios and their corresponding angles are congruent.

Given are triangles, Δ ABC, Δ EDF and Δ GHI,

Since, in Δ ABC and Δ EDF, two angles are shown congruent therefore, both are similar.

Also,

In Δ GHI,

∠ G + ∠ I = 129°

∠ H = 180° - 129°

∠ H = 43°

Since, we get, two angles congruent in both triangles Δ EDF and Δ GHI

Therefore, both the triangles Δ EDF and Δ GHI are similar,

Now,

Since, Δ ABC ~ Δ EDF and Δ EDF ~ Δ GHI,

Therefore, Δ ABC ~ Δ EDF ~ Δ GHI,

Hence, the correct option is "Both"

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The area of the triangle is 119 square feet. Find the base and the height.
(x + 3) ft.
(x + 6) ft.

Answers

Answer:

14 and 17

Step-by-step explanation:

(X+3)(x+6)0.5=119

x^2+9x+18=238

x=11

11+3=14

11+6=17

Faye borrowed $9600 at 8% per anum compound interest.
(a) Calculate the interest on the loan for the first year.
At the end of the last year,she repaid $4368.
(b) How much did she still owe at the beginning of the year?
(c)Calculate the interest on the remaining balance for the second year.​

Answers

Answer:

(a) $768

Step-by-step explanation:

Faye borrowed $9600 at 8% interest compounded per annum.

Solution for question (a):

Amount accumulated is given by;

A = P(1 + [tex]\frac{r}{n}[/tex][tex])^{nt}[/tex]

Where A is the amount, P is the pricipal, r is the rate, n is the number of times in a year, and t is the number of years.

So the amount after one year was;

A = 9600(1 + [tex]\frac{8}{1 * 100}[/tex][tex])^{1 * 1}[/tex] = 9600 × 1.08 = 10368

Interest = Amount - Principal = $10368 - $9600 = $768

a.  The interest on the loan for the first year is $768.

b. The amount she still owe at the beginning of the year is $6,000.

c. The interest on the remaining balance for the second year is $480.

a. Interest on loan:

Interest on loan=$9600 × 8%

Interest on loan=$768

b. Amount owed

Amount owed=$9,600+$768-$4368

Amount owed=$6,000

c. Interest on remaining balance :

Interest on remaining balance=$6,000×8%

Interest on remaining balance=$480

Inconclusion the interest is $768, amount owe is $6,000 and Interest on remaining balance is $480.

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Find the distance between a and b

Answers

THE DISTANCE IS 7 UNITS

At a swimming pool the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5. If the number of people not wearing sunscreen was 30, then how many people were wearing sunscreen?

Answers

Answer:

42 people are wearing sunscreen

Step-by-step explanation:

Step one:

given data

We are given that the ratio of those wearing sunscreen to those not wearing sunscreen was 7 to 5.

i.e 7:5

number of people not wearing sunscreen is 30

let us use part to part method to solve this problem

let the number of people wearing sunscreen be x

so,

7/5= x/30

cross multiply we have

5x=210

divide both sides by 5

x= 210/5

x=42 people are wearing sunscreen

Answer:

I think the answer is 42 to 30. 42 kids wearing sunscreen and 30 kids were not. 30 divided by 5 is 6. 6 x 5 is 30. so 6 x 7 is 42. Hence 42 to 30. :)

Beth has had her car for a while and knows that it gets pretty good gas mileage On a recent business trip she used 16.25 gallons of gas and drove 471 miles. To the nearest tenth of a mile, what was her gas mileage? OA) 29 0 mpg OB) 30 0 mpg OC) 28.5 mpg OD) 270 mpg​

Answers

Answer:

A) 29.0 mpg

you divide 471 by 16.25

The following set of coordinates represents which figure? (1,1), (5,3), (7,7), (3,5)

Answers

Answer:

1×1÷11. 5×3=15. 7×7=49 3×5=15 I'm not really sure but is there's anything else

Can someone help me ASAP please. I'll give extra points if right fr

Answers

Answer:

y = -1/4x + -6

Step-by-step explanation:

After swimming 55 feet below the surface of the water, a
fish swims up 30 feet. Use a number line to help you create
an equation that shows the new location of the fish in
relation to the water's surface.
-80 -70 -60 -50 40 -30 -20 -10 0
10
Interpret the sum in the context of the problem.

Answers

Answer:

c.

Step-by-step explanation:

when the fish swam down 55, you moved 55 to the left of zero. then when he swam 30 up, you take that 55 and move it 30 towards to the right. since -55 is greater than 30, your answer is still negative. -55+30=-25.

Answer:

C

Step-by-step explanation:

What is the measure of the missing angle?

Answers

23.3 is the exact answer

Select the correct answer.
The function fx) = 2x + 3x + 5, when evaluated, gives a value of 19. What is the function's input value?
OA 1
OB-1
О с 2
OD. -2
OE-3

Answers

It’s C but I’m not entirely sure

The input value that gives an output of 19 is not listed in the answer choices. None of the options are correct.

What are the factors?

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
We can start by setting up the equation:

2x² + 3x + 5 = 19

Subtracting 19 from both sides:

2x² + 3x - 14 = 0

(2x - 7)(x + 2) = 0

Using the zero product property, we can solve for x:

2x - 7 = 0 or x + 2 = 0

2x = 7 or x = -2

x = 7/2 or x = -2

Therefore, the input value could be either 7/2 or -2.

The answer choices do not include 7/2, but we can check both input values to see which one gives an output of 19:

f(7/2) = 2(7/2)^²+ 3(7/2) + 5 = 19.25

f(-2) = 2(-2)² + 3(-2) + 5 = 3

Thus, the input value that gives an output of 19 is not listed in the answer choices.

Learn more about Factors here:

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please help!
"a line intercepts the point (3, -4) and has a slope of 17. what is the slope-intercept equation for this line?"
then it has the partially filled out equation:
y=17x+__

Answers

Answer:

-55 = b

Step-by-step explanation:

If you fill in the x and the y with the equation you have below, you would get:

-4 = 17(3)+b

Multiply 17 and 3

-4 = 51 + b

-55 = b

Answer:

y=17x-55

Step-by-step explanation:

4 = 17(3)+b

-4 = 51 + b Subtract 51 both sides

-55 = b

Hope this helps :)

Please Help ASAP!!!!!!!!!!!!

Answers

Answer:

1. 5b-3

2. 6-b

3. 7-5b

4. 6+4b

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
105
(7-10)

Answers

Answer:

x=5

Step-by-step explanation:

Angles in a triangle adds up to 180 degrees

so 105 + (6x+20) + (7x-10) = 180

simplify

115+13x=180

subtract 115 to each side

13x=65

divide by 13

x=5

check work

105 + (6(5) + 20) + (7(5) -10)

105 + (30 +20) +(35 - 10)

105 + 50 + 25 = 180

solve for x enter the number that belongs in the green box

(you will have to right-click on the image and open it in a new tab to be able to see it)

Answers

Answer:

fwufuhwwhfwfweofwefwef

Step-by-step explanation:

Do it please..............h

Answers

Answer:

False

Step-by-step explanation:

-x^2+x is the same as x-x^2.

Only difference is the way it's written.

false , if it was opposite the signs would have switched
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