substitute the ordered pair (2, 3 ) into the 2 equations
(3 × 2 ) + (4 × 3 ) = 6 + 12 = 18 → True
(2 × 2 ) - (2 × 3 ) = 4 - 6 = - 2 → False
Hence the ordered pair (2, 3 ) is not a solution to the system of linear equations.
When (2, 3 ) is substituted into the first equation, the equation is true.
When (2, 3 ) is substituted into the second equation, the equation is false.
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.
C = 2πr
C = 2(3.14)(0.8)
C = 2(2.512)
C = 5.024 m
The answer is C.
Answer:
C
Step-by-step explanation:
A P E X
Answer:
B
Step-by-step explanation:
Prime Factorization involves breaking down a number into prime numbers (aka numbers that can only be divided by itself and 1)
36
9 x 4
(3x3) x (2x2)
Hope that helps!
