Spencer wrote the following paragraph proof showing that rectangles are parallelograms with congruent diagonals according to the given information, quadrilateral rect is a rectangle. by the definition of a rectangle, all four angles measure 90' segment er is parallel to segment ct and segment ec is parallel to segment rt by the quadrilateral rect is then a parallelogram by definition of a parallelogram. now, construct diagonals et and cr because rect is a parallelogram, opposite sides are congruent. therefore, one can say that segment er is congruent to segment ct segment tr is congruent to itself by the reflexive property of equality. the side-angle-side (sas) theorem says triangle ert is congruent to triangle ctr. and because corresponding parts of congruent triangles are congruent (cpctc), diagonals et and cr are congruent which of the following completes the proof? alternate interior angles converse of the alternate interior angles theorem converse of the same side interior angles theorem same side interior angles theorem

What value is equivalent to 5 + [5 × (4 + 2)]? a) 35 b) 45 c) 60 d) 110

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

The total ticket sales for a high school basketball game were $2,260. the ticket price for students were $2.25 less than the adult ticket price. the number of adult tickets sold was 230, and the number of student tickets sold was 180. what was the price of an adult ticket?