I'd appreciate someone me solve this geometry problem.

12, D

Step-by-step explanation:

There are a few general rules for special triangles, the 45-45-90 triangle among them.

If the value of one of the two sides that isn't the hypotenuse is x, the value of the hypotenuse is x times the square root of 2.

So basically, if x = 1, then the hypotenuse would be the square root of 2.

(We can use the Pythagorean Theorem to prove this. a^2 + b^2 = c^2, so if a and b are equal to 1, we square them - still leaving us with 1 - then add them to get 2, which is equal to c^2, meaning to get to c we have to take the square root of 2.)

In your case, the value of one of the sides is 6 times the square root of 2. All you have to do is multiply that value by the square root of 2 to get the value of x in your problem!

6 * sqrt(2) * sqrt(2) = 6 * 2 = 12. Which would be answer D in your selection.

2.   2 3/5.

3.   2 1/2.

step-by-step explanation:

6 - 3 2/5

= 6 -   17/5

= 30/5 - 17/5

= 13/5

= 2 3/5 (answer).

5 1/4 - 2 3/4

= 21/4 - 11/4

= 10/4

= 2 1/2 (answer).

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step-by-step explanation: