Answer: 30 degrees
This is the minimum amount of rotation.
Why this value? Well because 360/12 = 30
Consider a triangle with 3 sides. Specifically I mean an equilateral triangle. We can rotate it 120 degrees to have it line up with itself. Now notice that 360/3 = 120.
For a square, we can rotate it 90 degrees and we can say 360/4 = 90
So the general rule is that the minimum angle of rotation is 360/n, where n is the number of sides. This rule only works for regular polygons. Regular polygons have the same side length and the same angle measure (the side and angle measure won't necessarily be equal).
So going back to this 12 sided dodecagon, we have n = 12 and 360/n = 360/12 = 30 as the minimum angle of rotation. Each 30 degree rotation will have the polygon match up perfectly with its old image. The preimage and image will be identical.
To solve this, we would need to figure out the values of 
for which an absolute value is negative. From basics, you should know that an absolute value is always greater than or equal to 0.
If we rearrange this equation a little bit, we get,
So 
<em>cannot </em>be negative. So,
For this to <em>have </em>a solution, k needs to be greater than or equal to 
.
For <em>no solution</em>, k is less than -5. So, values of k which will make the equation to <em>not </em>have any solution is 
.
ANSWER:
Answer: 20x+12
Step-by-step explanation:
Distribute the three: 3(7x+4) will be changed to 21x+12-x
Next group like terms, -x+21x=20x
The new equation will be 20x+12
Answer:
4 and 1/3
Step-by-step explanation:
3 can go into 13 4 times with one left over
my rank is expert
hope this helps
Answer:
A, She added before multiplying.
Step-by-step explanation:
First, start off by using GEMDAS.
Grouping
Exponents
Multiply
Divide
Add
Subtract
You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.
Not sure if this made sense,
