At which angle will a hexagon rotate onto itself
2 answers:
Answer:
Step-by-step explanation:
- A shape has a rotational symmetry if it moves onto itself under rotation of some angle about its center.
We know that a hexagon is a regular polygon having all its sides and all its angles are equal.
For a regular polygon , the order of rotation of the figure is same as the number of sides .
When we rotate hexagon up to 360° , we will get 6 times the figure such that it looks exactly the same as the original figure.
Let x be the angle at which hexagon rotate onto itself, then we have
Hence, a hexagon will rotate onto itself at every .
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3(2m+12) -4m = 20 -3(3m+5)
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
______
Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
____
Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.
Step 1. Distribute 3 to (2m+12) and -3 to (3m+5)
Distribution property:
When you are distributing, you multiply the outside number by the numbers inside. For example,
-1(4-2)
-1 times 4, -1 times -2
-4, 2 (negative times negative =positive)
Then you would get
-4+2. You do not distribute with multiplication and division. So then we would do this with our numbers.
6m+36 -4m = 20 -9m-15
______
Step 2. Simplify by adding like terms.
Like terms:
Terms are separated by operation symbols (+,-,*,➗). Like terms are terms with the same variable next to it. 5a and 6a are like terms. Terms with no variables at all are also like terms. 5 and 6 are like terms. 8a and 7 are not like terms. 9a and 9b are not like terms.
6m+-4m= 2m. 20+(-15)=5
_____
2m+36=5-9m
Step 3. Add 9m to both sides
11m+36=5
____
Step 4. Subtract 36 from both sides
11m=-31
____
Step 5. Divide by 11
m=-31/11
If you can please provide brainliest. I took 30 minutes doing this.