Three cards are dealt from a standard, well-shu✏ed, deck. the first two cards are flipped over, revealing the ace of spades as the first card and the 8 of clubs as the second card. given this information, find the probability that the third card is an ace in two ways: using the definition of conditional probability, and by symmetry.

What is the slope of a line that is perpendicular to y = 3x + 1

Amountain climber starts a climb at an elevation of 453 feet above sea level at his first rest stop he has climbed 162 feet and by his second rest stop he has climbed another 207 feet its getting late in the day so the climber starts his way down if the climber desends 285 feet how much does he need to ascend or descend to return to the original starting point

(2, 4) (2, 1) (6, 12) (4, -5) (-2, 4) |(2, -4) (6, -12) (-4,5) quadrilateral abcd is reflected over the x-axis. quadrilateral abcd is translated 2 units right and 1 unit down. quadrilateral abcd is dilated by a scale factor of 3. quadrilateral abcd is rotated 180° clockwise about the origin. reset next