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The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Step-by-step explanation:
We have to calculate his unit rate for both type of races
So,
<u>Unit rate for 400m race:</u>
Distance = 400m
Time = 43 sec

<u>Unit rate for 300m Race:</u>
Distance = 300m
Time = 31 sec

The difference between both unit rates is:

Hence,
The difference between both unit rates rounded off to the nearest tenth is: 0.4 meters per second
Keywords: Unit rate, Speed
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General form of a linear equation is ax+by+c=0 where a,b, and c are three real numbers.
So, we can shift all the terms in one side of the equation. Hence, first step is to remove y from the left side. So, subtract y from each sides.
y-y=3x+2-y
0= 3x - y +2 (By simplifying)
So, the general form of the given equation is 3x-y+2=0.
Let the measure of the second angle be x.
The first angle has measure 3x - 34.
The sum of the measures is 180.
x + 3x - 34 = 180
4x - 34 = 180
4x = 214
x = 53.5
The second angle has measure 53.5 deg.
3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5
The measure of the first angle is 126.5 deg.
Answer: The measures are 126.5 deg and 53.5 deg.