Parallel lines have the same slope. So in point slope form:
(y-2)=-3(x-1)
y=-3x+3+2
y=-3x+5
Answer A
Answer:
<em>Scott will take 221 minutes to run 52 km</em>
Step-by-step explanation:
<u>Speed</u>
The speed of an object can be calculated with the formula:
![\displaystyle v=\frac{d}{t}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%3D%5Cfrac%7Bd%7D%7Bt%7D)
Where d is the distance traveled and t is the time taken.
Scott can run d=20 km in 85 minutes. Thus, his speed is:
![\displaystyle v=\frac{20}{85}\ km/min](https://tex.z-dn.net/?f=%5Cdisplaystyle%20v%3D%5Cfrac%7B20%7D%7B85%7D%5C%20km%2Fmin)
Now he wants to know how many minutes it will take him to run d=52 km. Solving the formula for t:
![\displaystyle t=\frac{d}{v}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7Bd%7D%7Bv%7D)
Since the speed has been already determined:
![\displaystyle t=\frac{52}{\frac{20}{85}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D%5Cfrac%7B52%7D%7B%5Cfrac%7B20%7D%7B85%7D%7D)
Multiplying by the reciprocal of the denominator:
![\displaystyle t=52*\frac{85}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20t%3D52%2A%5Cfrac%7B85%7D%7B20%7D)
t = 221 min
Scott will take 221 minutes to run 52 km
Answer:
x=11
y=70°
Step-by-step explanation:
I dont know how to explain it
The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. A theorem is a proven statement or an accepted idea that has been shown to be true.