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Artemon [7]
4 years ago
6

The legs of a right triangle have the lengths of 8 centimeters and 15 centimeters. What is the length of the hypotenuse, in cent

imeters? [Hint: Use the Pythagorean Theorem.]
Mathematics
1 answer:
Anastasy [175]4 years ago
4 0

Answer:

Step-by-step explanation:

WeknowthatsinceABCisarightangledtriangle,  

AB2+BC2=AC2

82+152=AC2

64+225=AC2

AC2=289

AC=289−−−√=17

Hypotenuse=17cm

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<h3>Answer:   -a > -b</h3>

Explanation:

Let's go over an example.

We'll have a = 1 and b = 7 which makes a < b true. Feel free to pick your own favorite pair of numbers such that b is larger than 'a'.

The corresponding opposites are:  -a = -1 and -b = -7

The relationship flips because the opposites of each number are flipped. So instead of saying -a < -b, we have -a > -b

Sure enough, -1 > -7 is a true statement. Use a number line to see this. I recommend a vertical number line.

In short, going from a < b to -a > -b means we flip the signs of each term, and we flip the inequality sign as well.

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