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.
Answer:
$29.4
Step-by-step explanation:
I assume the question is based on simple interest since you didn't specify
Using simple interest
Simple interest=P×R×T
Where,
P=principal=$1470
R=interest rate=4%=0.04
T=time=6 months=0.5 year
Simple interest=P×R×T
=1470×0.04×0.5
=29.4
Interest earned=$29.4
Answer:
x = -1/5y + 3/5
Step-by-step explanation:
y = 3 - 5x
Subtract 3 from both sides;
y - 3 = -5x
Divide both sides by -5
-1/5y + 3/5 = x
Answer:
D
Step-by-step explanation:
The slope is 2/5 and the slope of the new line will be -5/2 because the negative reciprocal creates a perpendicular line. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--2)=-5/2(x-2)
y+2=-5/2x+10/2
y=-5/2x+5-2
y= -5/2x+3
Answer:
Larger number(x)=20
Step-by-step explanation:
They're saying that the larger number 3 times is EQUAL(the same) to 4 times the smaller number.
The smallest number=35-x.
The larger number= x.
3 times the larger number=3x
4 times the smaller number=4(35-x)
Now, input it into an equation and solve:
3x=4(35-x) Distribute by multiplying 4 with 35 and x.
3x+4x=140-4x+4x Get 140 by itself by adding 4x.
7x/7=140/7 Divide.
x=20
Since x= the larger number, x=20.
