Determine the missing information in the paragraph proof. given: line pq contains points (w, v) and (x, z) and line p'q' contains points (w + a, v + b) and (x + a, z + b). lines pq and p'q' are parallel. prove: parallel lines have the same slope. since slope is calculated using the formula , the slope of both lines is equivalent to it is given that the lines are parallel, and we calculated that the slopes are the same. therefore, parallel lines have the same slopes.

Me with geometry ! in this figure, bc is a perpendicular bisects of kj. dm is the angle bisects of bdj. what is the measure of bdm? •60° •90° •30° •45°

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.

4+(2+x) can you me solve this problem