Answer: a = 65° b = 78° c = 37°
Steps:
(2x - 9) + (2x + 4) + x = 180°
5x - 5 = 180 °
5x = 185°
x = 37
(2x + 4)
2(37) + 4
74 + 4 = 78
(2x - 9)
2(37) - 9
74 - 9 = 65
Check:
65° + 78° + 37° = 180°
180° = 180°
Answer:
c or the first one, second one is B, and third one is D
Step-by-step explanation:
Answer:
Point of tangency is
or ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
![x^2=2x-1](https://tex.z-dn.net/?f=x%5E2%3D2x-1)
![x^2-2x+1=0](https://tex.z-dn.net/?f=x%5E2-2x%2B1%3D0)
![(x-1)(x-1)=0](https://tex.z-dn.net/?f=%28x-1%29%28x-1%29%3D0)
![x=1](https://tex.z-dn.net/?f=x%3D1)
Therefore, the point of tangency is
or ![(1,1)](https://tex.z-dn.net/?f=%281%2C1%29)
Answer:
Original cost = $16.40
Tax=9℅
Tip=20℅
Total cost is,
=16.40+ 16.40×9℅+ 16.40×20℅
=16.40 +16.40×9 /100+16.40×20 /100
= 16.40+1.476+3.28
=$21.156