Meredith sorted all 36 pairs of her shoes by type. She had 9 pairs of sandals, 6 pairs of boots, 3 pairs of dress shoes, and the rest were tennis shoes. If - of her tennis shoes are , . Nike brand, how many pairs of Nike's does she own?

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step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus