Answer: 281
Step-by-step explanation:
Answer:
Part a) 
Part b) 
Part c) 
Part d) 
Part e) 
Part f) 
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
A <u><em>centroid</em></u> of a triangle is the point where the three medians of the triangle meet. A median of a triangle is a line segment from one vertex to the mid point on the opposite side of the triangle.
The centroid is located two thirds of the distance from any vertex of the triangle
Part a) Find ML
we have

we know that

substitute the given value


Part b) Find HM
we have

we know that

substitute the given value


Part c) Find JM
we have

we know that

substitute the given value


Part d) Find MI
we have

we know that

substitute the given value


Part e) Find GM
we have

we know that

substitute the given value


Part f) Find MK
we have

we know that

substitute the given value


Answer:
Alan: 200 m/min
Brian: 150 m/min
Step-by-step explanation:
Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.
To find : What are their rates, in meters per minute?
Solution :
Let n represent the number of laps that Alan completes in 9 minutes.
Then n-1 is the number of laps Brian completes.
45 seconds = 3/4 minutes.
The difference in their lap times in minutes per lap is

Solving the equation we get,








Neglecting n=-3
So, n=4
Then Alan's speed in m/min is



Brian completes 3 laps in that 9-minute time, so his rate is


Therefore, Alan: 200 m/min
Brian: 150 m/min