"from the graph of g, state the intervals on which g is continuous. select all that apply.

(-infinity, -4]
(-infinity, -4)
[-4,-2]
[-4,-2)
[-2,2]
(-2,2)
[2,4]
[2,4)
[4,6]
(4,6)
[6,8]
(6,8)
[8,infinity)
(8,infinity)"

the answer is c.

for continuous functions, they continue in the same pattern and you have to find that pattern kinda like slope

(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