Point P is on line segment \overline{OQ} OQ
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. Given OP=x-3,OP=x−3, PQ=1,PQ=1, and OQ=3x-10,OQ=3x−10, determine the numerical length of \overline{OP}.
OP
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Astandard deck of cards contains 52 cards. one card is selected from the deck. (a) compute the probability of randomly selecting a seven or king. (b) compute the probability of randomly selecting a seven or king or jack. (c) compute the probability of randomly selecting a queen or spade.

What dimensions can créate more than one triangle ?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?