6. Quadrilateral KATE has vertices K(1,5), A(4,7).
T(7,3), and E(1,-1).
a) Prove that KATE is a trapezoid. [The use of
the accompanying grid is optional.
b) Prove that KATE is not an isosceles
trapezoid.
s
:50

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

Determine the fraction of total interest owed. after the fourth month of a 12-month loan: the numerator is: {(n + ) + (n + ) + (n + ) + (n + )} = , and the denominator is: {(n) + (n + 1) + + (n + )} = . therefore, the fraction is numerator/denominator (to the nearest tenth) =

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