Draw the shaded triangle after: a) It has been translated −7 horizontally and +1 vertically. Label your answer A.
b) It has been reflected over the x-axis. Label your answer B.
c) It has been rotated 90° clockwise around the origin. Label your answer C.
d) It has been reflected over the line y = x. Label your answer D

Describe fully the single transformation that:
a) Takes the shaded triangle onto the triangle labeled E.
b) Takes the shaded triangle onto the triangle labeled F.

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.

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)

3x + 4y = 5 x- 3y = -7 solve by substitution