Answer:
13
Step-by-step explanation:
So the concept is that co-interior angles add up to 180 in parallel line. This means:
3x + 9 + 9x + 15 = 180
So we solve for x.
12x + 24 = 180 ( What I did was simplifying the equation).
12x + 24 - 24 = 180 - 24
12x / 12= 156 / 12
x = 13
HOPE THIS HELPED
Answer:
there are 13 people in the group
Step-by-step explanation:
First step is to subtract the one-time fee from the cost
$60 - $8 = $52
Second step is to divide by the cost per person
⇒ $52/$4 = 13
Answer:
306
Step-by-step explanation:
6² = 36
36 - 2 = 34
Since 5+1+3 is in parenthesis, it comes before multiplication (remember PEMDAS or Order of Operations)
5+1+3 = 9
34 x 9 = 306
Answer:
Step-by-step explanation:I believe it’s A sorry if I’m wrong.
The area of a shape is the amount of space on it:
The shaded area is 314 square centimeters
<h3>How to determine the shaded area</h3>
Start by calculating the area of sectors OFG and OAD using:
![A = \frac{\theta}{360} * \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%7B%5Ctheta%7D%7B360%7D%20%2A%20%5Cpi%20r%5E2)
So, we have:
![OFG = \frac{40}{360} * \pi * 18^2](https://tex.z-dn.net/?f=OFG%20%3D%20%5Cfrac%7B40%7D%7B360%7D%20%2A%20%5Cpi%20%2A%2018%5E2)
![OFG = 36\pi](https://tex.z-dn.net/?f=OFG%20%3D%2036%5Cpi)
Also, we have:
![OAD = \frac{40}{360} * \pi * 18^2](https://tex.z-dn.net/?f=OAD%20%3D%20%5Cfrac%7B40%7D%7B360%7D%20%2A%20%5Cpi%20%2A%2018%5E2)
![OAD = 36\pi](https://tex.z-dn.net/?f=OAD%20%3D%2036%5Cpi)
Next, calculate the area of the sectors BOE and COH
Note that the radius of these sectors is 6 cm.
So, we have:
![COH =BOE = \frac{140}{360} * \pi * 6^2](https://tex.z-dn.net/?f=COH%20%3DBOE%20%3D%20%5Cfrac%7B140%7D%7B360%7D%20%2A%20%5Cpi%20%2A%206%5E2)
![COH = BOE = 14\pi](https://tex.z-dn.net/?f=COH%20%3D%20BOE%20%3D%2014%5Cpi)
The shaded area is then calculated as:
![Shaded = OFG + OAD + COH + BOE](https://tex.z-dn.net/?f=Shaded%20%3D%20OFG%20%2B%20OAD%20%2B%20COH%20%2B%20BOE)
This gives
![Shaded =36\pi + 36\pi + 14\pi + 14\pi](https://tex.z-dn.net/?f=Shaded%20%3D36%5Cpi%20%2B%2036%5Cpi%20%2B%2014%5Cpi%20%2B%2014%5Cpi)
![Shaded =100\pi](https://tex.z-dn.net/?f=Shaded%20%3D100%5Cpi)
The equation becomes
![Shaded =100 * 3.14](https://tex.z-dn.net/?f=Shaded%20%3D100%20%2A%203.14)
![Shaded = 314](https://tex.z-dn.net/?f=Shaded%20%3D%20314)
Hence, the shaded area is 314 square centimeters
Read more about areas at:
brainly.com/question/14989383