The sum of the interior angles of a polygon is 14 × 180 . Work out the number of sides of the polygon.

Answers

Answer 1

Answer:

Number of sides of the polygon = 16

Step-by-step explanation:

Sum of the interior angle of a polygon = (n - 2) × 180°

Here, n = Number of sides of the polygon

If sum of the interior angles = 14 × 180°

Therefore, (n - 2) × 180° = 14 × 180°

(n - 2) = 14

n = 14 + 2

n = 16

Number of sides of the polygon = 16


Related Questions

Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1

Answers

Answer:

f(y) = 4y2 - 4v

f(y) = 4y² - 4(-4) = 4y² + 16

f(y) = 4y² - 4(-3) = 4y² + 12

f(y) = 4y² - 4(-2) =4y² + 8

f(y) = 4y² - 4(-1) = 4y² + 4

Step-by-step explanation:

which quotient is greatest ?
A. 24.6 / 0.6
B. 2.46 / 0.06
C. 24.6 / 0.006
D. 2.46 / 0.006

Answers

Answer:

Step-by-step explanation:

Remark

The larger the numerator and the smaller the denominator, the bigger the quotient. Try and get the answer using that rule.

C

24.6 / 0.006 = 4100 Nothing is bigger than that.

Try D

2.46/0.006 =410

5 x / 3 > 5 Fill in the blank with a numerator or denominator to make the number sentence
true.

Answers

Answer:

Any number above 4 will make this true.

Step-by-step explanation:

(5 x 4)/ 3 = 20/3 = 6.67 > 5

Answer:

Any number greater than 3.

Step-by-step explanation:

If you multiply 5 by any number greater than 3 and then divide it by 3 it will result in a number bigger than 5.

If you multiply the 5 by a number less than three, and then divide it by 3 it will result in a number less than 5 which makes the equation false.

You also can't multiply 5 by 3 and then divide it by 3 because it will make the answer equal to 5. This makes the equation false.

Please help I will mark you brainlest and give you 30 point!!

Answers

Answer:

im not sure but i think its x=6

Help pls !!!! Math is fun

Answers

Answer:

16

Step-by-step explanation:

The ratio fo the lengths of the sides of a 30-60-90 triangle is

short leg  :  long leg  : hypotenuse

      1        :    sqrt(3)    :         2

In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).

The length of the short leg is 8 cm.

The length of the hypotenuse is twice the length of the short leg.

g = 2 * 8 cm = 16 cm

Someone help me please ASAP

Answers

Answer:

false, should be left instead

Step-by-step explanation:

negative numbers on the left of zero, positive on the right

Answer:

False

Step-by-step explanation:

Negative numbers are to the left of zero (0) on a number line.

^

|

|     type that in the box below

brainliest please

Pls help Brainelist if correct

The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.

Answers

I would help if there was a picture, but there isn’t a picture attached

enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.

Answers

Answer:

False your answer will 4x-16

Step-by-step explanation:

you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.

3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!

Answers

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

Answer:

3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3

Step-by-step explanation:

20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS

Answers

Answer:

145?

Step-by-step explanation:

Circle A is defined as (x-5)^2+(y-6)^2=16, and circle B is defined as (x+3)+(y+2)^2=9. Which transformation of circle A shows that circle B is similar?

Answers

Answer: The answer is D

Step-by-step explanation:

Circle A has translated 2 units to the right and  8 units up to produce circle B ad circle B was reduced by a factor of 3/4

Transformation of coordinates

Given the equation of circles A and B defined as  (x-5)^2+(y-6)^2=16 and (x+3)+(y+2)^2=9

The scale factor of a dilation is given as:

k = √9/√16

k = 3/4

From the centers, we can see that circle A has translated 2 units to the right and 8 units up to produce circle B

Learn more on translation here: https://brainly.com/question/1046778

x is a 2 digit whole number how many digits does the number 10 x

Answers

Answer:

3

Step-by-step explanation:

Lets take 45 as an example, 10(45) = 450

450 is a 3 digit

answer

3

explanation

let's say X=99

99×10 =990

basically any two digit number multiplied by 10 will result in a 3 digit figure

hope it helps

radical form. ooooooooooo

Answers

Answer:

by using Pythagoras law

h²=p²+b²

7²=4²+b²

b²=49-16

b=√33=5.744

third side is 5.744

Answer:

missing length = 5.74

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 7^{2} - 4^{2}[/tex]

[tex]a^{2} = 49 - 16[/tex]

[tex]a^{2} = 33[/tex]

[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]

[tex]a = 5.74[/tex]

Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
hours of work. Her neighbor, Roy hired the same agency and paid them $225 for their services.
How many hours did they take to complete the job at Roy's home?

Answers

Answer:

Step-by-step explanation:

Find the rate that was charged for Lara's time

       rate = dollars / hour

The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same.  Solve for hours.....

      rate for Lara = dollars / hour        =  $150 / 3 hour   =     $50 / hour

     rate for Roy = dollars / hour         Solve for hours

                                                            multiply both sides by hours

     (rate for Roy) (hour) = (dollars / hour) (hour)

     (rate for Roy) (hour) = (hour) (dollars / hour)       right side hours cancel

     (rate for Roy) (hour) = (dollars)     divide both sides by (rate for Roy)

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

                       now the rate for Roy on the leftside cancel

     (rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)

     (hour) = (dollars) / (rate for Roy)           Plug in $225 charged to Roy

                                                                     and the $50 / hour rate

   

       hour = $225 / ($50/hour)             ( 1 over 1 / hour )  = hour  

                = $(225/50) hour            think about  1 / (1/2)  = 2  the same with units

      hour =  4.5 hours

     

pls helpppp!!
Its a math question i suck at math please help!

Answers

I believe it is the first one

John is planning a vegetable garden in the shape of a square. The area of the garden is 100 square feet. What will be the length of each side? Which explanation would be correct? A) 50 feet because you divide 100 by 2 B) 10 feet because you take the square root of 100 C) 25 feet because you have 4 sides of a square D) None of the above

Answers

Answer:c

Step-by-step explanation:

Bc if it’s a square there will be 4 corners and each will have the same number count so u have to put even numbers in each corner and that’s 25 25+25=50 25+25=50 50+50=100

I need help seventh please question 3

Answers

Answer:

2) n=11

Step-by-step explanation:

Answer(2) n = 11

[tex]2n - 6 < 16 \\ 2n - 6 + 6 < 16 + 6 \\ 2n < 22 \\ \frac{2n}{2} < \frac{22}{2} \\ answer = n < 11[/tex]

I hope it helps ^_^

An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?

a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00

Answers

Answer:

The cost of the material for the full-sized pad is;

d) 222,750.00

Step-by-step explanation:

The parameters of the steel pad and the scale model are;

The volume of the deck = 18 yd³

The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick

The weight of the sample, m₂ = 75 lbs

The cost of the steel, P = $55/lb

The dimensions of the sample in yards are;

6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards

The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. =  (1/3) yd.³

The density of the sample material, ρ = m₂/V₂

∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³

Therefore, the density of the material of the pad, ρ = 225 lbs/yd³

The mass of the steel  pad, m₁ = ρ × V₁

∴ The mass of the steel  pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs

The cost of the material for the full-sized steel pad, C = m₁ × P

∴ C = 4,050 lbs × $55/lb = $222,750


8
z
5
+
4
y

4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z

Answers

Answer:

What???

Step-by-step explanation:

Cant see it?????

Find slope of line that passes through the points (2,-5) and (3,4).

Answers

Answer:

The slope is 9/1 or just 9.

Step-by-step explanation:

I used the y1-y2/x1-x2 slope formula.

Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2

Answers

Answer:

I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.

Step-by-step explanation:

translated 7 units right and 2 units up.

Answers

Answer:

where was the starting point?

if the starting point was the origin then the translated point is (7, 2)

Answer:

are you talking about a graph? If it's from (0,0) then (7,2)

Step-by-step explanation:

Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?

Answers

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Multiply o binomial by a trinomial
(x-1) (x²+x+1)

Answers

Answer:

Is this helpful or wrong?

Answer:

hey there, the product is x³ - 1

What is the slope of the line that passes through the points (25, 50) and (80, 110)?


PLs HELP I WILL DO ANYTHING

Answers

Answer:

12/11

Step-by-step explanation:

the formula to find the slope of a line is:

where  is the slope and  and  are the points where the line passes.

in this case we have that the first point is: (25,50)  thus⇒  and

and the second point: (80,110) thus ⇒  and

substituting this values into the formula for the slope:

the slope of the line is 12/11

Write an expression showing five less than the number A

Answers

Answer: A-5

Step-by-step explanation:

"A" the number and 5 which should be less than the number

You make the equation

A-5

Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm

Answers

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

Solve for x solve for x

Answers

All the angles added up = 360°

46 + 4x - 2 + 9x + 6 + 8x - 5 = 360
21x + 45 = 360
21x = 315
x = 15

Let me know if you have questions.

Answer:

15

Step-by-step explanation:

The sum of angles around a point is added up to 360°.

Accordingly,

4x - 2 + 9x + 6 + 8x - 5 + 46 = 360

Combine like terms.

21x + 45 = 360

Subtract 45 from both sides.

21x = 360 - 45

21x = 315

x = 15

Give the solution to the system

Answers

Answer:

f(x)=x+2g(x)=-1(x-4)

f(x) represents the red line

g(x) represents the green line

if the variable x = 1

1+2=-1(1-4)

3 = -1(1×(-3))

3 = -1×(-3)

3 = 3

Find the slope of the line. Write your answer in simplest form.

Answers

Answer:

Slope = -3/5

Step-by-step explanation:

slope (m) = y2 - y1 / x2 - x1

m = -2 - 1 / 1 - -4

m = -3 / 1 + 4

m = -3 / 5

You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)

Answer:

-3/5

Step-by-step explanation:

The line is y=-3/5x-1.4

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