I believe it is A.) 4 + (y / 11)
Answer:
Step-by-step explanation:
Sum of internal angles on same side of transversal =180
8x-14 +2x+54=180
combining like terms
10x=180-40
x=140/10 =14
so x=14 option D
<u>You have a total of 1/4 gallons of juice, but when you pour 3/5 of it out, you have how much left? </u>
<u>3/5 - 1/4 = 7/20</u>
Do you remember your unit circle? If sin ω = was -1/2, then it would be 7<span>π/6. If you're unfamiliar with the unit circle, we can derive it.
So, you know that sin is OPPOSITE/HYPOTENUSE, and it's in the third quadrant, where x and y would be negative. If sin </span>ω = -1/2, that means that ω = 1/sin*(-1/2), or sin^(-1)*(-1/2). Let's ignore the negative for now and plug sin^(-1)*(-1/2) into your calculator in radians. You get (1/6)π. But that's in Quadrant 1. We want it in Quadrant 3.
In one complete revolution, or 360°, there are 2π radians. That means, if you want to rotate it 180°, you need to add π to what you originally got.
π+(1/6)π=(7/6)π.
I highly recommend you memorize the unit circle if you haven't already, because you'll need it from Precalculus on.
