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When a shape is rotated, it must be rotated over a line.
<em>The square must be reflected over line </em><em>, for it to be mapped onto itself.</em>
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<u>The points are given as:</u>
To map the square onto itself, it must be reflected over its diagonal
The diagonals of the square are: AC and BD
<u>Using AC, we have:</u>
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Start by calculating the slope (m)
So, we have:
The equation is then calculated as:
This gives:
Rewrite as:
So, the square must be reflected over line , for it to be mapped onto itself.
See attachment for square ABCD and its line of reflection.
Read more about reflections at:
Answer:
Devin will donate <u>$67.5</u> to charity.
Step-by-step explanation:
Given:
Devin made 30 custom t-shirts to sell.
He will donate 1/8 0f his total sales to a local charity.
He sold all 30 t-shirts for $18 each.
Now, to find the amount Devin donate to charity.
Total number of t-shirts = 30.
Each t-shirts sold at = $18.
So, total amount of 30 t-shirts sold:
As, Devin will donate of his total sales to a local charity.
Now, to get the amount he will donate to charity:
Therefore, Devin will donate $67.5 to charity.