Answer:
Angles of rotation that produce symmetry are the angles that we can rotate the image, and the end result will be the starting image. (the angles are always measured from the x-axis)
Here we can clearly see that in each quadrant we have a petal of the flower.
Then the angles that change one quadrant into other quadrant will produce symmetry.
Those angles are:
90°, 180°, 270°, 360°, etc.
We can define the set of those angles as:
A {n*90° I n ∈ Z}
Answer:
$12
Step-by-step explanation:
The best way to do this is with a simple ratio. If you pay $3 for one meter, then for 4 meters, you’d pay $12. You BOUGHT 4 times more cord, which means you’d PAY 4 times more. Thus, 3 x 4 = 12!
Or with ratios:
1 meter : $3
multiplying both sides by 4
4 meters : $12
This is the same as showing the following system of equations doesn't have a solution:
or in matrix form,
The quickest way to check if there is a solution is to check whether the coefficient matrix is invertible. If its determinant is 0, then it is not invertible.
And the quickest way to show that the determinant is 0 is by observing that the third row is a linear combination of the first two rows:
(-2, 9, 6) - (-3, 2, 1) = (-2 + 3, 9 - 2, 6 - 1) = (1, 7, 5)
So there are indeed no such scalars <em>c₁</em>, <em>c₂</em>, and <em>c₃</em>.
Let n be the sum of all 6 numbers:
In the 1st case n/6 = 41 ==> n =246
in the 2nd case n'/5 = 46===> n' =230, the unknown number is n-n' =246-230
= 16
