Answer:

Step-by-step explanation:




3

Separate the solutions:


12 is the answer
12 goes into all threee
Five divided by the difference of a number and 12 equals the quotiene of 10 and the sum of the number and five
The expression that is not a variation of the Pythagorean identity is the third option.
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What is the Pythagorean identity?</h3>
The Pythagorean identity can be written as:

For example, if we subtract cos^2(x) on both sides we get the second option:

Which is a variation.
Now, let's divide both sides by cos^2(x).

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.
Concluding, the correct option is the third one.
If you want to learn more about the Pythagorean identity, you can read:
brainly.com/question/24287773