Question2 Explain what a line of symmetry is.
2 answers:
A line of symmetry is a line that divides a figure into two parts such that each part is the mirror image of the other. In other words, if we flip one side of the figure over the line of symmetry, it should match up <em>exactly</em> with the other side.
Let's look at a 2 examples.
In the first image provided, notice that if we flip the left side of the figure over the right side, the two sides will not match up so this is not a line of symmetry.
In the second image, if we flip the left side of the line on to the right side, it matches up exactly so it's a line of symmetry.
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Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = which simplifies to
₁₈P₅ =
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.