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2 years ago

The sum of three consecutive even integers is 264. What are the integers? (show your work)

Mathematics

1 answer:

Anettt [7]2 years ago

4 0

Answer:

1 Expert Answer

X + Y + Z = 264. Since Y is 1 bigger than X, Y = X + 1. Since Z is 1 bigger than Y, Z = Y + 1. But Y = X + 1, so Z = (X + 1) + 1 = X + 2.

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Find the measure of the missing side. Round your answer to the nearest tenth. (PYTHAGOREAN THEOREM)

Burka [1]

Answer:

Rounded to the nearest tenth, the length of the missing side is 5.4 in.

Step-by-step explanation:

According to the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$ , where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):

$2^{2}+5^{2}=c^{2}$

This simplifies to $29=c^{2}$ . Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:

$\sqrt{29} =\sqrt{c^{2}}$

This simplifies to c≈5.4 in.

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Answer:

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