The table contains the proof of the relationship between the slopes of two perpendicular lines. What is the reason for statement 2? A. Parallel line segments that meet a common perpendicular line are proportional in length. B. The lengths of vertical and horizontal sides in congruent triangles are in a common ratio. C. Trigonometric identities determine the lengths of the legs in a right triangle. D. Corresponding side lengths in similar triangles are proportional in length.

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!

exactly you go it

step-by-step explanation:

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step-by-step explanation: