Answer:
![average\ speed = 36\ mi/hr](https://tex.z-dn.net/?f=average%5C%20speed%20%3D%2036%5C%20mi%2Fhr)
Step-by-step explanation:
Given:
Each city is exactly 120 miles from the other two.
Average rate from city A to city B = 60 mi/hr
Average rate from city B to city C = 40 mi/hr
Average rate from city c to city A = 24 mi/hr
We need to find the Dale's average rate for the entire trip.
Solution:
First we find the total time and total distance by following way.
Time taken to travel from A to B = ![\frac{Distance}{Speed} = \frac{120}{60}= 2\ hr](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BSpeed%7D%20%3D%20%5Cfrac%7B120%7D%7B60%7D%3D%202%5C%20hr)
Time taken to travel from B to C = ![\frac{Distance}{Speed} = \frac{120}{40}= 3\ hr](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BSpeed%7D%20%3D%20%5Cfrac%7B120%7D%7B40%7D%3D%203%5C%20hr)
Time taken to travel from C to A = ![\frac{Distance}{Speed} = \frac{120}{24}= 5\ hr](https://tex.z-dn.net/?f=%5Cfrac%7BDistance%7D%7BSpeed%7D%20%3D%20%5Cfrac%7B120%7D%7B24%7D%3D%205%5C%20hr)
So, total time taken = ![2+3+5=10\ hr](https://tex.z-dn.net/?f=2%2B3%2B5%3D10%5C%20hr)
Total distance = 120 + 120 + 120 = 360 miles
Using average speed formula.
![average\ speed = \frac{Total\ distance}{Total\ time\ taken}](https://tex.z-dn.net/?f=average%5C%20speed%20%3D%20%5Cfrac%7BTotal%5C%20distance%7D%7BTotal%5C%20time%5C%20taken%7D)
![average\ speed = \frac{360}{10}](https://tex.z-dn.net/?f=average%5C%20speed%20%3D%20%5Cfrac%7B360%7D%7B10%7D)
![average\ speed = 36\ mi/hr](https://tex.z-dn.net/?f=average%5C%20speed%20%3D%2036%5C%20mi%2Fhr)
Therefore, the average rate for the entire trip ![average\ speed = 36\ mi/hr](https://tex.z-dn.net/?f=average%5C%20speed%20%3D%2036%5C%20mi%2Fhr)
Step-by-step explanation:
5x-3x=-8-2
2x=-10
x=-10/2
x=-5
Lunch
Step-by-step explanation:
she eats 900 cals at lunch, but at dinner she has 800 and breakfast she has 600. 900 is the most cals so lunch is the meal with the most calories.
Step-by-step explanation:
we know about vertical angels that are equal
so <2=<4
(in fact they are congruent angles)
we found those only from the definition of vertical angles.