1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
love history [14]
3 years ago
11

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

t there are rotations about the center that will carry both a regular hexagon and a regular nonagon (9-sided polygon) onto itself. Determine whether each angle of rotation below can be used to support Nadia's claim. Select Yes or No for each angle of rotation
Mathematics
1 answer:
GalinKa [24]3 years ago
7 0

Answer:

\theta_1 \ n\ \theta_2 = 120, 240

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

Nonagon = 9\ sides

Hexagon = 6\ sides

Divide 360 degrees by the number of sides in each angle, then find the multiples.

<u>Nonagon</u>

\theta = \frac{360}{9} =40

List the multiples of 40

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

<u>Hexagon</u>

\theta = \frac{360}{6} =60

List the multiples of 60

\theta_2 = 60, 120, 180, 240, 300

List out the common angles

\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320

\theta_2 = 60, 120, 180, 240, 300

\theta_1 \ n\ \theta_2 = 120, 240

This means that, only a rotation of 120, 240 will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

You might be interested in
What is 43 x 34/ 28-14= <br> this /stands for a division sine
Sergio [31]
This is the answer 104.4285714285714
6 0
3 years ago
Please help find the probability that x &gt;25.
bija089 [108]

Answer

The total probability is one:

Total probability of being greater than 25 is 1 because the totals of all values less than 25 is 1.

5 0
3 years ago
Explain how you know what number is missing in the equation 3,947 = 3,000 + +40+7
gavmur [86]

Answer: 900

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
There are 24 basketball teams competing in a tournament. After each round half the teams are eliminated. This situation can be m
BaLLatris [955]

Answer:

b(x)=24(1/2)x

Step-by-step explanation:

3 0
3 years ago
You are given a problem that involves multiplying a positive number and a negative number. Which of the following are reasonable
crimeas [40]
First question:. A and D. Second question: B and C .
7 0
3 years ago
Read 2 more answers
Other questions:
  • in a group of 1,200 adults, there are 300 vegetarians. what is the ratio of nonvegetarians to vegetarians in the group?
    9·1 answer
  • Let f(x) = 3x2 - 6x + 2. Find f(2)
    5·2 answers
  • Amy can drive 22.8 miles on one gallon of gas. <br><br> How far can Amy drive on 5.3 gallons of gas?
    13·1 answer
  • What is the day of Christmas
    12·2 answers
  • Hurrry i need help nowwwwwwwwwwwwwwwww
    12·2 answers
  • The population of a city is 50,000. It is increasing at an annual rate of 3%. What is the
    11·2 answers
  • Find the sum of PQ<br> 8x-27
    13·1 answer
  • How did they get 72?
    11·2 answers
  • You can ride your bike around your block twice and the whole neighborhood once in 10 minutes. You can ride your bike around your
    7·1 answer
  • The point (–3, –5) is on the graph of a function. What equation must be true regarding the function?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!