Opposite angle of a quadrilateral add up to 180 degrees.
This means Angle A plus Angle C equal 180.
We can solve for X using that, then solve for Angle B.
2x-7 + x +4 = 180
Simplify:
3x -3 = 180
Add 3 to each side:
3x = 183
Divide both sides by 3:
x = 183 /3
x = 61
Now we know x, replace x with 61 in the equation for Angle B:
Angle B = 2x+3 = 2(61) +3 = 122 +3 = 125 degrees.
Answer:12 Protein bar and 3 magazines
Step-by-step explanation:
Given
Tom purchases Protein bars 3 times as much as magazine
Each bar cost ![\$ 0.7](https://tex.z-dn.net/?f=%5C%24%200.7)
Each magazine costs ![\$ 2.50](https://tex.z-dn.net/?f=%5C%24%202.50)
Sales tax is 6.5 %
suppose Tom buy x magazines so
Price of magazine is ![2.5 x](https://tex.z-dn.net/?f=2.5%20x)
Price of bars is ![3\times 0.7x=2.1 x](https://tex.z-dn.net/?f=3%5Ctimes%200.7x%3D2.1%20x)
Total Price![=2.5 x+2.1 x=4.6 x](https://tex.z-dn.net/?f=%3D2.5%20x%2B2.1%20x%3D4.6%20x)
After sales tax ![=4.6x(1+0.065)=4.899 x](https://tex.z-dn.net/?f=%3D4.6x%281%2B0.065%29%3D4.899%20x)
This must be less than ![\$ 20](https://tex.z-dn.net/?f=%5C%24%2020)
so ![4.899x < 20](https://tex.z-dn.net/?f=4.899x%20%3C%2020%20)
![x< 4.082](https://tex.z-dn.net/?f=x%3C%204.082)
thus ![x=4](https://tex.z-dn.net/?f=x%3D4)
so he but 4 magazines and 12 protein bars
Answer:
O 14
Step-by-step explanation:
hope it is helpful :)
Answer:
4 hours
Step-by-step explanation:
Cost of renting a bike at Oceanside Bike Rental Shop = 18 + 8x
Where,
x = number of hours for renting the bike
Alyssa paid 50 dollars to rent a bike.
How many hours did she pay to have the bike checked out ?
C = 18 + 8x
50 = 18 + 8x
Subtract 18 from both sides
50 - 18 = 18 + 8x - 18
32 = 8x
Divide both sides by 8
32 / 8 = 8x / 8
4 = x
x = 4 hours