Which of the following gives the best statement of the pythagorean theorem? a. in a right triangle, the square of the length of the hypotenuse equals the sum of the square of the lengths of the legs. b. in a right triangle, the square of the length of the hypotenuse equals the difference of the squares of the lengths of the legs. c. if the square of the length c of one side of a triangle equals the sum of the square of the lengths of the legs, then it is a right triangle with the hypotenuse of length c. d. if the square of the length c of one side of a triangle equals the difference of the square of the lengths of the legs, then it is a right triangle with hypotenuse of length c.

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!