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How do you find the sides of a rectangle when you know the diagonal?
You can use Pythagoras theorem except for the fact that there's lots of problems with this. Lots of different rectangles can have a same length of diagonal. So I guess you should be a bit more specific.
Can two rectangular prisms have the same surface area but different volume?
Yes, they can. They can also have the same surface area, but different volume.
How can two items have the same shape and size have different densities?
It doesn't have the same density because the two items can be different masses.
Is two distinct lines with same x intercept parallel?
No. In order to be parallel, two lines would have to have the same slope, and different intercepts.Why? Two lines with different slopes, but the same intercepts would result in two intersecting lines. Two lines with the same slope, and the same intercept would result in the same line. Two lines with the same slope, and different intercepts would be parallel.
Identify the orientation where the image has same orientation as the preimage?
The answer is in the question! The orientation is the same as the preimage! Same = Not different.
