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Monica [59]
3 years ago
13

Hakeem is training for a long-distance race he ran six 1/4 miles on Monday 5 3/4 miles on Wednesday and 5 1/4 miles on Friday ab

out how many miles did he run
Mathematics
1 answer:
Anit [1.1K]3 years ago
6 0
Answer: 6.25 miles
On Friday Hakeem ran 6.25 miles.
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Since we have two possible pieces of information and 2 items to solve for, we know this is a system of equations.
Our first piece of information is that our shorter leg (s) is 2 feet shorter than our longer leg (l). This can be written as s=l-2.
Our second piece of information is that using the Pythagorean theorem that our shorter leg squared plus our longer leg squared is equal to our hypotenuse squared. This can be represented by s^2+l^2=10^2. Now we can solve.
We have already isolated for s in our first equation, so we can substitute l-2 in.
(l-2)^2+l^2=10^2
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2l=12
l=6
Now we can substitute in for s in our simpler equation
s=6-2
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We now know that using our knowledge of systems of equations, the side lengths of this right angle triangle are 6 and 4.
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