In the diagram of a gate, the horizontal bars are parallel and the vertical bars are parallel. Find x and y. Complete the explanation indicating which postulates and/or theorems were used to find the values. 165°
(15x + 6y)° gate4 75°
(5x + 6y)°

x =
y =

(15x + 6y)° =
° by the
(select)
and (5x + 6y)° =
° by the
(select)
.

Aman is 6 feet 3 inches tall. the top of his shadow touches a fire hydrant that is 13 feet 6 inches away. what is the angle of elevation from the base of the fire hydrant to the top of the man's head?

If a || b and e || f , what if the value of y ?

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.