Jeff has a rectangular table top that is x feet wide. the length of the table top is 3 times its width.
can you me write two different expressions that represent the perimeter of the table top, and explain how each expression represents the perimeter of the table top.

The first equation is x+x+3x+3x. You know that the perimeter is w+w+l+l, so, you can simply substitute the width, x, and the length, 3x (Three times the width).

The second equation is 8x. This comes from the first expression. If you have three of something plus three of the same thing plus one of the same thing plus one of the same thing, you have 8 of that thing. In other words, combine like terms.

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exa:

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3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

you estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82 .the total height of the building is another 123 meters above the 86th floor.

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