In a quadrilateral abcd, the diagonals intersect at point t. jasmine has used the alternate interior angles theorem to show that angle dac is congruent to angle bca and that angle adb is congruent to cbd.

which of the following can jasmine use prove that triangle atd is congruent to triangle ctb?

ab congruent to dc
ac congruent to db
da congruent to bc
ta congruent to tc

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.