c) The ratio between an exterior angle and an interior angle of a polygon is 1:5.
i) Find the magnitude of an exterior angle.
ii) How many sides are there in this polygon?

Answers

Answer 1

Answer:

30° and 12

Step-by-step explanation:

The sum of the exterior angle and the interior angle = 180°

sum the parts of the ratio, 1 + 5 = 6 parts

Divide 180° by 6 to find the value of one part of the ratio

180° ÷ 6 = 30° ← value of 1 part of the ratio

(i)

The exterior angle = 30°

(ii)

The sum of the exterior angles of a polygon is 360°

To find the number of sides n divide 360 by 30 , that is

n = 360 ÷ 30 = 12


Related Questions

Can someone please help me with this it’s due tomorrow

Answers

Answer:

Table A, Table C, Table B

Step-by-step explanation:

f(x) = -4x - (-5)

f(0) = -4(0) - (-5) = 5

Table A

f(x) = -4x - (-1/5)

f(0) = -4(0) - (-1/5) = 1/5

Table C

f(x) = 4x + (2/5)

f(0) = 4(0) + (2/5) = 2/5

Table B

Answer:

Step-by-step explanation:

Find the perimeter of the parallelogram using the Pythagorean Theorem

Answers

Answer:

The perimeter of the paralellogram is [tex]24 + 2\sqrt{34}[/tex] units.

Step-by-step explanation:

We shall use the Pythagorean Theorem to determine the length of the two oblique line of the figure. From Geometry, we know that the perimeter of the parallelogram is the sum of the lengths of the four sides of the parallelogram.

First, we calculate the length of the oblique line, that is:

[tex]l_{O} = \sqrt{5^{2} + 3^{2}}[/tex]

[tex]l_{O} = \sqrt{34}[/tex]

Second, we determine the length of the vertical line by direct observation, that is:

[tex]l_{V} = 12[/tex]

Lastly, the perimeter is determined by the following formula:

[tex]p = 2\cdot (l_{O}+l_{V})[/tex]

[tex]p = 24+2\sqrt{34}[/tex]

The perimeter of the paralellogram is [tex]24 + 2\sqrt{34}[/tex] units.  

Answer: 35.7

(This is the answer squared by the way)

Step-by-step explanation:

De las soluciones de la siguiente ecuación: x2 + 8x − 30 = 18? Cual es el numero de mayor valor Entre.

Answers

Answer:

The correct answer is "x = 4" and "x = -12".

Step-by-step explanation:

The given equation is:

⇒  [tex]x^2+8x-30=18[/tex]

On subtracting "18" from both sides, we get

⇒  [tex]x^2+8x-30-18=18-18[/tex]

⇒  [tex]x^2+8x-48=0[/tex]

On applying factorization, we get

⇒  [tex]x^2+12x-4x-48=0[/tex]

On taking common, we get

⇒  [tex]x(x+12)-4(x+12)=0[/tex]  

⇒  [tex](x-4)(x+12)=0[/tex]

⇒                 [tex]x-4=0[/tex]

                          [tex]x=4[/tex]

or,

⇒               [tex]x+12=0[/tex]

                         [tex]x=-12[/tex]    


Find f(-2) for f(x) = 2 x 3x
O A. -18
O B. 2/9
O c. 1/18
O D. -36

Answers

Step-by-step explanation:

f(x) = 2 x 3x

2 x 3x

2 (-2) 3(-2)

-4-6=-10

Step-by-step explanation:

f(x)=2 x 3x

2 x 3x

2(-2) 3 (-2)

-4 - 6 = -10

PICTURES BELOW!!! PLEASE HELP!! XTRA POINTS TO CORRECT ANSWER!!!
Which graph best represents the solution to the system of equations shown below? (5 points)

y = −2x + 14
y = 2x + 2

Answers

Answer:

The second graph

Step-by-step explanation:

take x = 3 for instance, we can see that on the graph both lines intersect on y = 8

if we try it with our equations:

-2 * 3 + 14 = 8

2 * 3 + 2 = 8

Hope thi helps, please give brainliest thanks

The cost of a smartphone is $199. A newer model costs 10% more. Which choice is closest to the sale price of the newer model after a 20% discount? *

Answers

Answer:

$199 + 10% - 20% = $175. 12  

hope this helped

Step-by-step explanation:

The height of the apple trees in an orchard are normally distributed with a mean of 12.5 feet and a standard deviation of 1.2 feet what percentage of the apple trees are taller than 14.9 ft

Answers

Answer:

2.275%

Step-by-step explanation:

z = (x-μ)/σ, where

x is the raw score = 14.9 ft

μ is the population mean = 12.5 ft

σ is the population standard deviation = 1.2 ft

We are to find the percentage of the apple trees are taller than 14.9 ft,

This means x > 14.9, x greater than 14.9

Hence,

z = (14.9 - 12.5)/1.2

z = 2

Probability value from Z-Table:

P(x<14.9) = 0.97725

P(x>14.9) = 1 - P(x<14.9) = 0.02275

Converting to Percentage

= 0.02275 × 100

= 2.275%

Therefore, the percentage of the apple trees that are taller than 14.9 ft is 2.275%

What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place. ​

Answers

Step-by-step explanation:

[tex] \frac{{x}^{2} \times \sqrt{3}}{4} [/tex]

for x=8, area=16*root(3)

Answer:

Let's find the height:

Half of 8 is 4.

4^2 + 8^2 = 80

80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80

Your new height is 8.944.

8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2

Formula of area of a triangle:

B(base)H(height) x 1/2(basically just dividing by 2)

In this case 8 is your base and 8.944 is your height.

HELP PLEASE!!!!!!!!!

Answers

Answer:

x-coordinate

Step-by-step explanation:

The answer is letter X

Irrelevant answers will be reported. DUE TODAY!!!

Answers

Answer:

C. Ferris wheel

Step-by-step explanation:

Circumference = pi x diameter

Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.

70.5 x 3.14 = 221.37

what is the area of the shaded portion of the figure above

Answers

Answer:

i need help too

Step-by-step explanation:

plese

A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time. What was its speed?

Answers

It was a constant velocity over 9.6 seconds so it’s speed was 72/9.6 or 7.5m/s

A barracuda swam directly toward a coral reef at a speed of 9.6 seconds. It swam 72 meters. so its speed was 7.5m/s.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

Speed = Distance/ time taken

A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time.

Distance = 72 meters

Time taken = 9.6 seconds

So,

Speed = Distance/ time taken

Speed = 72/ 9.6

           = 720/ 96

           = 7.5m/s

Learn more about speed here;

https://brainly.com/question/7359669

if (1,-7) is in the solution area of the inequality y ≤ 1x + b, what is the smallest value of b possible?

Answers

Check your solution by first checking the end point , in the related equation. Pick a value greater than , such as 2, to check in the inequality. Solve for x. Divide both sides by 3 to isolate the variable.

A coin is flipped three times, and the following list shows the possible outcomes.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

What is the probability of getting exactly at least two tails?

Answers

3/8
number of times getting tails twice over number of all possible combinations

On Friday, 55% of the students at Wilson Middle School bought a hot lunch and the rest packed their lunch. What fraction of students packed their lunch? Select TWO that apply. A. 11/20 B. 45/100 C. 55/100 D. 9/20

Answers

Answer: B. 45/100 & D. 9/20

Step-by-step explanation:

100-55=45

45/100 works

45/5 = 9

100/5 = 20

9/20 is a simplified 45/100

If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6

Answers

Answer:

A

Step-by-step explanation:

There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3

Donald has xxx twenty-dollar bills and 111 ten-dollar bill. How much money does Donald have? Write your answer as an expression.

Answers

Answer:

20x + 10

Step-by-step explanation:

Given that :

Number of $20 bill = x

Number of $10 bill = 1

Total amount of money can be expressed as :

Σ(Value of bill * number of bill)

Hence,

($20 * x) + ($10 * 1)

20x + 10

The expression for the amount of money Donald has is : 20x + 10

HELP ILL GIVE BRAINLIEST

Answers

a) 0.375

b) [tex]\frac{7}{8}[/tex]

A file that is 273 megabytes is being downloaded. If the download is 17.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

Answers

Answer:

47.8 MB

Step-by-step explanation:

17.5% = 0.175

273 * 0.175 = 47.775

Rounded

47.8 MB

There are 10 marbles in a bag .2 red, 5 green and 3 blue. Aron picks up 2 marbles without
replacing the first marble. What is the probability that both the marbles are blue.

Answers

Answer:

It would be 0.09

Step-by-step explanation:

First, note the original Probability for picking a blue marble in the first try:

0.3

Now, if this were to happen again, knowing that no marbles would be taken out, it would be another chance of 0.3 for Aron to pick up a blue marble on his second pick up.

Due to these being independent events, you can do:

0.3*0.3 = 0.09

To get your answer, 0.09.

Answer:

27/90 = 3/10

Step-by-step explanation:

Calculate the probability that neither is blue

7/10 * 6 / 9

63/90

Now the remainder of the choices are what the probability is when both are blue

1 - 63 / 90

27/90 is the probability of choosing 2 blues.

using three pieces of matchsticks form polygon a.hiw many sides does it have? b.how many vertices does it have? c.how many interior angles does it have?​

Answers

Answers:

a) 3 sidesb) 3 verticesc) 3 interior angles

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

Explanation:

3 is the magic number here, and this applies to any triangle of any shape.

Each matchstick is one side of the triangle. Having three of them forms the three sides. When you intersect any pair of sides, you form a vertex which is a corner point of the triangle. Each vertex corresponds directly to an interior angle.

Side note: the 3 interior angles of any triangle always add to 180 degrees.

“Match the graph to the correct function” Please help! will mark brainliest.

Answers

Answer:

C

Step-by-step explanation:

I graphed it

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

Answers

Answer:

Everything seems correct, I'm assuming you wanted confirmation

Please, quickly. Sorry for the poor picture quality.

Answers

Answer:

<2 is 50º

Step-by-step explanation:

you first want to find what x is, so you would put the two equations in an (equation)=(equation) and get x and the number across from each other, that would be x=15º. you then plug in the 15 to the equation, and solve that, resulting in 130º. The angle is going to be 180 in total, so subtract the 130º from 180º and you would get 50º

Q4. Renna went on a journey that took 712 hours. The journey started at 22 48 on Monday. At what time and day did the journey finish?

Answers

Answer:

14:48 on wednesday

Step-by-step explanation:

divide 712 by 24 to get the total number of days. you should get 29.66666667. remember that 1/3 of a day is 8 hours, so you would have 16 hours left. you can subtract 2 hours from the 16 to add to the 22:48 to get it on an 12-hour period, which in this case would be midnight, and when you do this you need to add another day to the 29 you have. then you put the remaining 14 to the 00:48, giving you 14:48. to get the day she finished on, you should honestly do it on your fingers, counting out the days until you hit the 30th day, which should give you wednesday.

help please give me the answer and no links please

Answers

Answer:

x= 69°

Step-by-step explanation:

First find the inner angle of the 159°

so you would do 180-159=21

next you add 21 ° to the 90° from the right angle

that gives you 111°

last you do 180-111 and you get 69

Answer:

x = 69

Step-by-step explanation:

180 - 159 = 21

The sum of the three angles of any triangle is equal to 180 degrees, so:

21 + 90 + x = 180

111 + x = 180

180 - 111 = x

x = 69

Have a nice day!

A bakery sells yesterday's bagels for a discounted rate of $2.64/dozen. What is the price per bagel?​

Answers

Answer:

$0.22 per bagel

Step-by-step explanation:

A dozen is 12:

2.64/12 = 0.22

Use a ~ 3.14 and round your answer to the nearest hundredth.

Answers

19200 is the answer to this

please help me find the answer

Answers

Answer:

use calculator

Step-by-step explanation:

Answer:

-21 i think

Step-by-step explanation:

Between -10 and -16 has to be -13, because -13 is three apart from -10, and three apart from -16. That means that the numbers decrease by 3. So, the number line would be:

-10

-13

-16

-19

-21

Hope this helps!

(2x + 3) (3x + 4) it says to solve that in box method

Answers

x 2x 3
3x 6x^2 9x
4 8x 12

6x^2 + 17x + 12
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