When a triangle is rotated, it must be rotated through a center of rotation.
Assume the coordinate of LMN is



The rule of 180-degree rotation is:

So, we have:



See attachment for the graphs of LMN and L'M'N
<u>(a) Describe the transformation</u>
When triangle LMN is rotated 180 degrees across the origin, the x and y coordinates of LMN are negated to form triangle L'M'N'
<u>(b) Lines LL' and MM'</u>
The distance between point L and the center of origin is the same as the distance between point M' and the center of origin
Similarly, the distance between point L and the center of origin is the same as the distance between point M' and the center of origin
<u>(c) Line NN'</u>
Line NN' will assume the same characteristics as lines LL' and MM'
Read more about transformations at:
brainly.com/question/11707700
8-22a
2(4-11a)
Take the largest number you can factor out of 8&22
a. Only a Hamiltonian path
One such path is
1 → 2 → 0 → 4 → 3
which satisfies the requirement that each vertex is visited exactly once.
There is no Hamiltonian circuit, however, since it is impossible for any Hamiltonian path on this graph to visit vertex 0 exactly once.
The weight of each fish would be multiplied by 10.
Assume the first time, the weight was 800 lb. Since there were 100 fish caught, the weight of each fish would be 800/100 = 8 lb.
This time, however, only 10 fish were caught. The weight would be 800/10 = 80 lb.
80 = 8(10), so the weight is 10 times more.