The coordinates of the vertices of △def△def are d(2,−1)d(2,−1) , e(7,−1)e(7,−1) , and f(2,−3)f(2,−3) .

the coordinates of the vertices of △d′e′f′△d′e′f′ are d′(0,−1)d′(0,−1) , e′(−5,−1)e′(−5,−1) , and f′(0,−3)f′(0,−3) .

what is the sequence of transformations that maps △def△def to △d′e′f′△d′e′f′ ?

question

what is the value of the third quartile of the data set represented by this box plot? a. 19 b. 21 c. 26 d. 29

answer

c

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47