This table shows direct variation. Find k.

k=2/3

Step-by-step explanation:

As said, this table shows direct variation. The equation is y=kx.

we can solve the equation to isolate the variable to see what the equation is to find k.

divide by x on both sides

y/x=k

that means that k is y/x

so we can divide 2/3 for example. Or 4/6 and see it simplifies to 2/3. You can do this for the other numbers to see that they are all equal to 2/3

That means that k is 2/3

Hope this helps!

(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