How do I Factor -12 out of -24k + 120

Divide each piece by -12

(-24k)/(-12) = 2k

120/(-12) = -10

So we go from -24k+120 to -12(2k-10)

We can use distribution to check if we got the right answer

-12(2k-10) = -12*(2k) - 12(-10) = -24k + 120

So the answer is confirmed.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

(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