Hey there!
<u><em>Supplementary angles</em></u> always equal 180° when combined. We have our ratio which is 4:2. When we combine them, we have six. This is on a different scale than 180, so we need to divide 180 by six to see how much bigger we need to make our ratio so we can find the angles.
180/6=30
As we can see, our parts of the ratio are 1/30 the size of our actual angle. To find our angles now, we multiply each number by 30.
4(30):2(30)=120:60
As you can see, if we add 120 and 60, it equals 80, and if you simplify the ratio it is still 4:2.
Your angles are 120° and 60°.
I hope this helps!
Answer:
y = 9x-8
Step-by-step explanation:
Find y values for x= -3 and x = 3. These will come out to -35 and 19 respectively.
Plug these numbers into the rise/run equation for slope m (y2-y1)/ (x2-x1). Plugging values in and simplifying you will get 54/6, which reduces to 9. This is your m value.
Apply your m value to x = 3 going backwards (x = 2 gives a y value of 10, 1 gives 1, and 0 gives -8). This will give you a y intercept of -8. This is your b value.
Plug the slope and y intercept into the mx + b equation. This will give you y = 9x-8.
There you go!
Taco meat is .268 cents per oz
$5.36/20 = .268
Answer:
23°
Step-by-step explanation:
We apply Pythagorean theorem to determine the missing length, Hypotenuse:

This hypotenuse corresponds to the right triangle and the tree's height, corresponds to the angle of elevation:
-We apply the law of Sines;

Hence, the angle of elevation is 23°
Answer:
1. x >= 5
2. x > -8
3. x < 4
4. x <= 8
Step-by-step explanation: