Answer:
They will be at the same position after 2 hours.
Step-by-step explanation:
Here, it should be asked the time it will take for Anita to catch Brad.
Anita began riding at start of the path and is riding at rate of 18 mile per hour.
This means that, after t hours, her position will be given by:
![A(t) = 18t](https://tex.z-dn.net/?f=A%28t%29%20%3D%2018t)
Brad begin from a sport 10 mile ahead of her and I riding at rate of 13 mile per hour
This means that, after t hours, his position will be given by:
![B(t) = 10 + 13t](https://tex.z-dn.net/?f=B%28t%29%20%3D%2010%20%2B%2013t)
After how much time will they be at the same position?
This is t for which:
![A(t) = B(t)](https://tex.z-dn.net/?f=A%28t%29%20%3D%20B%28t%29)
So
![18t = 10 + 13t](https://tex.z-dn.net/?f=18t%20%3D%2010%20%2B%2013t)
![5t = 10](https://tex.z-dn.net/?f=5t%20%3D%2010)
![t = \frac{10}{5}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B10%7D%7B5%7D)
![t = 2](https://tex.z-dn.net/?f=t%20%3D%202)
They will be at the same position after 2 hours.
Hello.
In your question, we can see that the points Q, P, and R can be assumed that they are in a straight line, meaning that the angle measures will add up to 180 (think of half a circle, which is 360 degrees).
This means that every angle added up will add up to 180 degrees.
Meaning we can set up the below equation:
![(8b-12)+(b)+(2b+5)=180](https://tex.z-dn.net/?f=%288b-12%29%2B%28b%29%2B%282b%2B5%29%3D180)
![8b-12+b+2b+5=180](https://tex.z-dn.net/?f=8b-12%2Bb%2B2b%2B5%3D180)
![11b-7=180](https://tex.z-dn.net/?f=11b-7%3D180)
![11b=187](https://tex.z-dn.net/?f=11b%3D187)
![b=17](https://tex.z-dn.net/?f=b%3D17)
After finding
, we can plug it back in to each expression for each angle measure.
∠QPS = ![8b-12=8(17)-12=124](https://tex.z-dn.net/?f=8b-12%3D8%2817%29-12%3D124)
∠SPT = ![b=17](https://tex.z-dn.net/?f=b%3D17)
∠TPR = ![2b+5=2(17)+5=39](https://tex.z-dn.net/?f=2b%2B5%3D2%2817%29%2B5%3D39)
Hope this helps!
Answer:
dont worry im on it bro
Step-by-step explanation:
A whole number would be 3 and as a unit fraction 2/8