Maria claims that ΔABE ≅ ΔACD . Select two of the transformations or series of transformations that support Maria's claim and maps ΔABE to ΔACD.
A dilation with a scale factor of 3 about point A.
A dilation with a scale factor of 2 about point B.
A dilation with a scale factor of 2 about point A followed by a translation of 4 units downward.
A dilation with a scale factor of 3 about point B followed by a translation of 4 units downward.
A dilation with a scale factor of 3 about point A followed by a translation of 8 units to the right.
A dilation with a scale factor of 2 about point B followed by a translation of 8 units to the right.

Consider the set of all four-digit positive integers less than 2000 whose digits have a sum of 24. what is the median of this set of integers?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Find the area of the region that is inside r=3cos(theta) and outside r=2-cos(theta). sketch the curves.