Polygon L'U'M'B'E'R'J'A'C'K' is the image of polygon LUMBERJACK after a translation (x, y) + (x + 12, y +8).

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Two numbers have a sum of -19. one number is x. what expression represents the other number?

Nicole is making carrot bread she needs 5 cups of carrots for 2 cups of sugar.what is the ratio of cups of sugar to cups of carrots that nicole will need? write the ration in three different ways