Sorry, it's late, and I'm a bad explainer.
The error is adding (2x-12) with x and 30. This is wrong because you are adding the angles inside the triangle and you are assuming that (2x - 12) is the unlabeled angle INSIDE the triangle, when it is the exterior angle/outside of the triangle.
A straight line is also 180°.
(2x - 12) + ? = 180
30 + x + ? = 180
If you look at the equations, and put parentheses around 30 + x, (30 + x) and (2x - 12) should be the SAME NUMBER. So you could set them equal to each other to find x. (or you could also look at the picture and see that they both need/are missing the same angle)
2x - 12 = 30 + x
x = 42
Now you plug 42 into the exterior angle equation
2(42) - 12 = 84 - 12 = 72°
Answer:
A. because 3.7 ×2 is 7.4. so the full answer would be 7.4 ×10^4
Answer:
3x^2−8x−3
Step-by-step explanation:
(3x+1)(x−3)
=(3x+1)(x+−3)
=(3x)(x)+(3x)(−3)+(1)(x)+(1)(−3)
=3x^2−9x+x−3
=3x^2−8x−3
Paul can run 10m per 1 second
Steve can run 8.333m per 1 second
Answer:
4,200 liters
Step-by-step explanation:
The flow rate is given by:
Integrating the flow rate expression from t=0 to t=30 minutes, yields the total volume that flows out of the tank during that period:
4,200 liters of water flow from the tank during the first 30 minutes.
