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2 answers:
Answer:
Ok, so the answer is 3.5
Step-by-step explanation:
From what I could see it says walked for 14 around her block 4 times so your answer is 3.5 because if (Let's call her Patricia) Patricia walked around her block 4 times in 14 minutes, we have to find the unit rate, therefore we have to divide 14 by 4 as shown below
Thus your only viable solution is 3.5
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Answer:
See below.
Step-by-step explanation:
The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.
We have the side lengths (x²-1), (2x), and (x²+1).
We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.
So, we can use the Pythagorean Theorem:
Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:
Square each expression:
Combine like terms:
Add:
We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.
And we're done!