Use the relationship between the angles in the figure to answer the question. which equation can be used to find the value of x? drag and drop the equation into the box. x=180−31+40x=90−40x=180−(31+40)x=90 −(31+40) two lines intersecting creating four angles with the left most angle at thirty one degrees, the right most angle at forty degrees and the angle between them at x degrees

Point r divides in the ratio 1 : 3. if the x-coordinate of r is -1 and the x-coordinate of p is -3, what is the x-coordinate of q? a. b. 3 c. 5 d. 6 e. -9

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.

Are the corresponding angles congruent? explain why or why not.