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EleoNora [17]
3 years ago
15

Given a regular octagon, in how many ways can we color one diagonal red and another diagonal blue so that the two colored diagon

als cross (in the interior)? Consider rotations and reflections distinct.
Mathematics
1 answer:
Zina [86]3 years ago
7 0

Answer:

Rotation = 1.

Reflection = 5 or 4.

Step-by-step explanation:

A regular octagon is the octagon that has eight, 8 sides and all these eight sides are equal.

So, if we are going to consider rotation and reflection distinct in order to color one diagonal red and another diagonal blue so that the two colored diagonals cross (in the interior) we can do that by following the steps Below;

=> Make sure that the first diagonal with the red color is drawn first.

=> to another make fixing to another end.

=> Determine the possibilities.

The numbers of times can be gotten by using Burnside Lemma which gives Rotation = 1 And Reflection = 5 or 4.

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What is the greatest common factor of 32a and 48b
SpyIntel [72]

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.

5 0
2 years ago
Madison needs to buy enough meat to make 1,000 hamburgers for the company picnic. Each hamburger will weigh 0.25 pound. How many
Lelechka [254]

Answer:

Madison needs to buy 250 pound of meat

Step-by-step explanation:

6 0
2 years ago
Helpp me with this please!
Dmitry [639]
It’s CED hope this helps
6 0
3 years ago
If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angles....what is measurement of angle B?​
atroni [7]
<h3>Supplementary Angles:</h3>

Angles which adds up to 180°.

<h3>Given:</h3>

A = 2x + 8

B = 2x + 8

<h3>To Find:</h3>

The measurement of B.

<h3>Solution:</h3>

A + B = 180°

or, 2x + 8 + 2x + 8 = 180°

or, 4x + 16 = 180°

or, 4x = 180 - 16 = 164°

or, x = 164/4 = 41°

<h2>Answer:</h2>

B = 2x + 8 = 2(41) + 8 = 82 + 8 = 90°

<u>B</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>°</u>

7 0
2 years ago
Read 2 more answers
Which options could be the next step in simplifying this expression?
zubka84 [21]
C and D
5·(2+4) is 30, because u need to add parenthesis first. 2+4 is 6
6·5 is 30.
C is 5·6 and that is 30
D is 5·2 which is 10, then 5·4 which is 20. 10+ 20 is 30.
:)
4 0
3 years ago
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