What is the minimum angle of rotation (in degrees) that will carry the star onto itself?

What Is The Minimum Angle Of Rotation (in Degrees) That Will Carry The Star Onto Itself?

Answers

Answer 1

Answer:

Minimum angle = 108°

Step-by-step explanation:

From the figure attached,

Minimum angle to overlap the star onto itself is the angle of rotation from point A to B.

Let the angle between A and B measure a°.

If we complete a star pentagon by joining the vertices of the star,

Formula to measure the internal angle of a polygon is,

Measure of internal angle = [tex]180\times \frac{(n-2)}{n}[/tex]

Measure of ∠ABC = [tex]\frac{(5-2)}{5}\times 180[/tex]

                              = 108°

Since, one side star divides the interior angle into three equal parts,

Measure of interior angle = [tex]\frac{108}{3}[/tex] = 36°

From ΔAOB,

m(∠OAB) + m(∠AOB) + m(∠ABO) = 180° [Sum of interior angles of a triangle = 180°]

36° + a + 36° = 180°

a + 72° = 180°

a = 180 - 72

a = 108°

Therefore, by the minimum angle of rotation of 108° star will overlap onto itself.

What Is The Minimum Angle Of Rotation (in Degrees) That Will Carry The Star Onto Itself?

Related Questions

Point Y lies in between points X and Z on a given line. The length of XZ = 30, and the length of YZ = 10. Find the length of XY.

Answers

Answer: XY= 20

Step-by-step explanation:

i did 30 - 10 and got 20. it was correct , so the length of XY=20

heyy I need help and can you explain it as well so I can understand it or just put the answer :^)

Answers

Answer:

b = 1

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are already given a table of values and half the equation, we simply need to find y-intercept b:

Plug in a random coordinate to find b.

y = 1/4x + b

2 = 1/4(4) + b

2 = 1 + b

b = 1

y = 1/4x + 1

3. Mr. Hudson's class is taking a field trip. The students must share the $100 cost of
using a school bus. Tickets to the museum cost $8 per student. Mr. Hudson spent
$260. How many students went on the trip?

Answers

Answer:

I believe it's 32.

Step-by-step explanation:

Im assuming the teacher is paying for the students tickets and the students are paying for the bus.

So if the teacher spent 260$ and it costs 8$ per student you must divide.

260 ÷ 8 = 32.5 But you cant have half a person so it must be 32 students.

Question here

give answer in km/h​

Answers

Here is part of a travel graph of Sian's journey from her house to shops and back Graph is not representing Back journey a) What is the speed of Sian from 30 minutes to 45 minutes? Distance at 30 min = 20 km Distane at 45 min = 20 km Distance from 30 to 45 min = 20 - 20 = 0 km Time = 45 - 30 = 15 min = 1/4 hr Speed = 0/(1/4)  = 0 km/Hr b) What is the distance travelled by Sian in 15 minutes? Let say first 15 min Distance at 0 min = 0 km Distance at 15 min = 10 km Distnace Travelled in 15 min = 10 - 0 = 10 km Time = 15 min = (1/4) hr Speed = (10 - 0)/(1/4)  = 40 km/Hr c) Find out her average speed and express in km/h.​ Distance Tavelled = 20 km Time = 45 mins = (3/4) hrs Average Speed = 20/(3/4)  = 80/3 Km/HrHOPE IT HELPS (◕‿◕✿)

help please!!!!!!!!!​

Answers

Answer: 192,768

The sequence multiples by 4

Answer:

Part1:

[tex] \huge{ \boxed{\bold{ \tt{48 }}}}[/tex]

Part 2:

[tex] \huge{ \boxed{\bold{ \tt{768}}}}[/tex]

Explanation:

As we can see every next number is 4 times greater than The number before it.

proof:

[tex]3 \times 4 = 12[/tex]

Here we have multiplied 3 with 4 than we get our next number ie 12

[tex]12 \times 4 = 48[/tex]

When we again multiplied 12 with 4 than we get next number ie 48.

So next two numbers will surely be as follows:

part 1:

[tex]48 \times 4 = 192✓[/tex]

part 2:

[tex]192 \times 4 = 768✓[/tex]


PLEASE HELP ME ASAP!!!!!

Answers

Answer:

it is used to subtract 10 from both sides

Answer:

Definitely D

As seen in the equation both sides is being subtracted by 10

40 boys and 16 girl possible ratios ​

Answers

Answer:

40:16, 16:40, 40/16, 16/40

What is the area of the figure ?? Plz help ASAP !!!!

Answers

Answer:

800

Step-by-step explanation:

Area of square:

20 × 20 = 400

Area of triangle:

B × H = A20 × 20 = 400

Combine the areas:

400 + 400 = 800

I hope this helps!

-2(x + 5) = -2x - 10
A) Identity Property for Multiplication
B) Multiplication Property of Equality
C) Associative Property of Multiplication
D) Distributive Property

Answers

Answer:

i think its distributive, sorry if it's wrong

- 2x + 5 = 13
what the x

Answers

The answer is x=-4 because you subject 5 on both sides and than divide -2 both sides and it leaves you with x=-4.

Answer:

The answer is x = - 4

Step-by-step explanation:

- 2x + 5 = 13

1.Subtract 5 from both sides

- 2x + 5 - 5 = 13 - 5

- 2x = 8

2. Divide both sides by - 2

- 2x/- 2 = 8/- 2

x = - 4

Free Poits im posting alot of these stay tuned!!!

Answers

Answer:

b        fbgrbrbrgsbtrsthank youuuuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Answer:

Thank you so much! This the only question I'm taking so other can get them too. Enjoy the rest of your day!

Simplify 3 times 2x. What is the coefficient?
1. x
2. 2
3. 6
4. 3

Answers

Answer: 6

Step-by-step explanation: 2 times 3 equals 6

The answer is 6 because if it’s 3-2x then the coefficient of x is 2 and if it’s 3(2x) is 6x as the coefficient

What happens to the median of the data set
{10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set?
A. The median increases by 2.
B. The median decreases by 1.
C. The median does not change.
D. The median increases by 1.

Answers

Answer: C

Explanation:

The median of the data set increases by 1

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

To find the median of the data set {10, 2, 8, 9, 5, 2, 6}, we need to first arrange the data in order from smallest to largest:

2, 2, 5, 6, 8, 9, 10

The median is the middle number, which is 6.

If we add 12 to the data set, the new data set becomes {10, 2, 8, 9, 5, 2, 6, 12}.

We again arrange the data in order:

2, 2, 5, 6, 8, 9, 10, 12

The median is still the middle number, which is now 7 (the average of 6 and 8).

Hence , the median increases by 1

To learn more about median click :

https://brainly.com/question/28687994

#SPJ2

6 + x/3 = -5

Brainly

Answers

Answer:

[tex]\boxed {x = -33}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]6 + \frac{x}{3} = -5[/tex]

-Multiply both sides by [tex]3[/tex]:

[tex]3 \times 6 + \frac{x}{3} = -5 \times 3[/tex]

[tex]18 + x = -15[/tex]

-Subtract [tex]18[/tex] to both sides:

[tex]18 - 18 + x = -15 - 18[/tex]

[tex]\boxed {x = -33}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]-33[/tex].

The answer is:

6 + x/3 = -5

X/3 = -5 - 6

X/3 = - 11

X = -11 * 3

X= -33


I hope this helps!!

I’m sort of new to this app so Idk how to give extra points, but I would appreciate it if you could help

Answers

answer: no solution

explanation:
first, use distributive property so 3(n+4)=1/2(6n+4) becomes 3n+12=3n+4

secondly, subtract 12 on both sides to get 3n=3n-8

then, subtract 3n on both sides to get 0= -8

this is false because 0 does NOT equal -8. therefore, the answer is no solution

ab + ac = d
> solve for a​

Answers

Answer:

The value of a is d/(b+c)

14. Which two sets of ordered pairs are functions?
A
(-3,-1), (-3,0), (-3,3), (-3,5)
B (-2, -1), (-1,0), (0,0), (2,1)
C (-1,-1), (-1,0), (0,0), (0,1)
D (0,0), (3,0), (3,3), (4,0)
E (1, 1), (2,2), (3,3), (4,4)

Answers

A is NOT a function because the x value input (-3) has multiple y value outputs (-1, 0, 3, 5).

B is a function because each input has only one output.

C is NOT a function because the inputs (-1 and 0) both have more than one output.

D is NOT a function because the input 3 has more than one output.

E is a function because each input has only one output.

a line has a slope of 2 and passes through the point of 3,9. wat is the equation of the line in slope intercept form​

Answers

The equation for a line that passes through the point of (3, 9) and has a slope of 2 in slope intercept form is y=2x+3

If a turtle can move 1/7 of a km every hour, then how many hours would it take for a turtle to go 5 km?

Answers

Answer:

it take 1/7 km in 1 hour then,

1 km it take 7 hours

so, it cover 5 km in 35 hours

1/7 km ------- 1 hour

1km ------- 7 hour

5km -------( 5*7) == 35 hours

Luke likes running. He runs 2.5 miles every 0.5 hour. How far does Luke run in 1 hour?

Answers

He would run 5 miles in one hour :)

A golfer is aiming for a hole that is 120 feet away
and, when he hits the golf ball off the ground, its
highest point reaches 80 feet up in the air.

Answers

Answer:

yes, the ball will go into the whole

Step-by-step explanation:

How could you use this information to determine the erosion after 10 years? *

Answers

i had the same question a day ago or two. hopefully you answered yours correctly because this was posted 4 weeks ago :/

3x + 2x2 - 4x + 3x2 - 5x
Simply step by step

Answers

Answer:

9 + 4 - 16 + 6 - 25

I think this is what u need

Answer:

let's say x is equivalent to 3. now all x values are 3 so we can now we can solve the equation 3*3+2*3 squared -4*3+3*3 squared - 5*3, that equals 27.

Step-by-step explanation:

-2/6 ÷ 5/8 answer should be in fraction form​

Answers

Answer:

The answer is -8/15

Step-by-step explanation:

Answer:

-5/24  

Step-by-step explanation:

-5/24 = -0.20833  Both are the answer but, you asked for it in fraction form so,

the one you need is -5/25.

Hope I helped.

         

Complete the statement. The sum of -1 7/8 and 1 11/12 is

A. Negative
B. Zero
C. Positive

Answers

The s um is positive because 11/12 is greater than 7/8
C. positive

when you input the numbers into a calculator, you get 0.041666666666667, meaning the answer is positive

Write the slope-intercept form of the given line. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.


Can someone tell me what the points are at least? I suck at reading graphs

Answers

your points are (1.5,0) and (0,3.5) The equation for slope-intercept is y2-y1 over x2-x1 3.5-0 over 0-1.5 3.5 over -1.5HOPE IT HELPS (◕‿◕✿)

Answer:

y = -1/4x + 1

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

[tex]m=\frac{0-1}{4-0}[/tex]

[tex]m=\frac{-1}{4}[/tex]

y = -1/4x + b

Step 2: Find y-intercept

From the graph: (0, 1)

Step 3: Write linear equation

y = -1/4x + 1

Will GIVE BRAINLIEST TO CORRECT ANSWER
Find the measure of 23 if m 1= 23º.

Answers

The answer would be 30 if m=2

Answer:

1=23, 2=157, 3=23

Step-by-step explanation:

1 is alternate to 3 so if 1 is 23 then 3 is also 23 . as you know angles on a straight line add up to 180° and 2 and 3 are angles on a straight line. so subtract 23 from 180 to get 157°

Which of the following shows the numbers in the
box below in increasing order?

A. -1, 0, 1/2, 1.7
B. -1, 0, 1.7, 1/2
C. 0, 1/2, -1, 1.7
D. 1.7, 0, 1/2, -1

Answers

Answer:A

Step-by-step explanation:

Answer:

A. -1, 0, 1/2, 1.7

Step-by-step explanation:

-1 is a lesser amount than 0

0 is a lesser amount than 1/2

1/2 is a lesser amount than 1.7

can someione help me with atoms?????

Answers

The answer is The first one

Which is the most reasonable way to estimate 26% of 88?

Answers

Answer:

88 x 0.26 = 22.88% or 23%

do 25% and then divide 88 by 100 to find 1% then add them
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