Answer:
- rotate CCW 90°, reflect across the x-axis
- (x, y) ⇒ (-y, -x) . . . . . both transformations together
Step-by-step explanation:
The vertex order ABC is clockwise in the original figure and also in the first image: A'B'C'. The altitude from AC to B is up in the original and left in the first image, indicating a rotation 90° CCW.
The first transformation is a rotation 90° CCW.
The vertex order of A''B''C'' is CCW, indicating a reflection. The direction of the altitude from A''C'' to B'' is still to the left, so the reflection must be over a horizontal line. We find the x-axis bisects the segments A'A'', B'B'', and C'C'', confirming that it is the line of reflection.
The second transformation is reflection across the x-axis.
_____
Algebraically, the transformations are ...
1st: (x, y) ⇒ (-y, x)
2nd: (x, y) ⇒ (x, -y)
Both together: (x, y) ⇒ (-y, -x).
If there are 4 marbles left over each time, then we can forget about them for now.
So the question is, what is the smallest number than can be divided into 6,7 and 8?
the numbers have only one non-1 divisor in common: both 6 and 8 are divisible by 3.
so for our purposes we can "delete" one 2 and ask:
what is the smallest number than can be divided into 3,7 and 8 ?
There are no more divisors in common, so we just have to multiply them: 3*7*8=21*8=168
and the 4 marbles "extra"? We add them to this sum.
the the smallest possible number in the box is 168+4=172.
Answer:
27 inches hopes this helps
Step-by-step explanation:
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Answer:
225 x 0.15 = 33.75 profit
Step-by-step explanation:
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