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Determine the dimensions of the first rectangle.
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3 stepsDetermine the dimensions of the first rectangle.
The top-left corner of the first rectangle is .
The top-right corner of the first rectangle is .
The width of the rectangle is the difference in x-coordinates:The point is given, which is the bottom-right corner of the first rectangle.
The height of the rectangle is the difference in y-coordinates:Determine the coordinates of point A.
Point A is the bottom-right corner of the first rectangle. From the given information, this point is .
Determine the coordinates of point B.
The problem states that the two rectangles are identical. This means the second rectangle also has a width of 7 units and a height of 6 units.
Point A is the top-left corner of the second rectangle.
To find the coordinates of point B, which is the bottom-right corner of the second rectangle:
The x-coordinate of B will be the x-coordinate of A plus the width:The y-coordinate of B will be the y-coordinate of A minus the height (since the rectangle extends downwards from A):
So, the coordinates of point B are .
The coordinates are:
A is
B isFor the second part of the question:
n stands for a whole number.
n is greater than 30, which means .
n is less than 100, which means .
Combining these conditions, we have .
Since n is a whole number (non-negative integer), the possible values for n are integers strictly between 30 and 100.
The numbers that n stands for are .
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