A company makes 140 bags 30 of the bags buttons but no zips.

27 of the bags have zips but no buttons.

20 of the bags have neither zips or buttons.

How many bags have zips on them

90 bags have zips on them.

Step-by-step explanation:

140 bags - total

30 bags - no zips + buttons

27 bags - zips + no buttons

20 - no zips + no buttons

140 - 30 = 110

110 - 20 = 90

(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