I'd hate to give you a definition like, "Related pairs of numbers are pairs of numbers that are related" so let's just go with an example. Let the first number of a pair represent a quantity of bicycles. Let the second number represent the number of tires per bicycle. With 1 bicycle you would have 2 tires, with 2 you would have 4 and so on.
(1,2)(2,4)(3,6)(4,8) are related pairs of numbers.
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Number of factor pairs = number of rectangles
Yes. Factor pairs are always repeated across pairs since factor pairs are certain kinds of pairs.
An analogy is a relationship between two words. Then, a third word is given to find a a word that is related to the third word in the same way the first two words are related.
3 pairs
A cube has six pairs of intersecting line segments. These six pairs will total 72 lines in a cube.