So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
3,800
because the rectangle area is 40x70 plus the triangle area is 40x50 divided by 2
Question A: The per capita debt would be $43,888.75.
Per capita means the amount per person. To find this amount, we need to take the total debt and divide it by the number of people.
13,561,623 divided by 309 = 43,888.75
For Question B, you will need to have the other CPI value from the table.
It is A. Let me know if the answer is correct! :)
Answer:
Step-by-step explanation:
Given
See attachment for parallelogram
Required
What is the height?
The opposite sides of a parallelogram are equal and the height is the distance between the parallel sides.
From the question, we have:
Also from the question, the difference between the two parallel sides is 7in.
<em>Hence, the height of the parallelogram in 7in</em>
