What is the measure of the angle in the Southwest corner of the intersection of broadway and 22nd street

  105°

Step-by-step explanation:

Maps are usually oriented so that North is up. That means the southwest corner is below and to the left of the intersecting lines. Since numbered streets are usually parallel, we're to assume that W 22nd street is parallel to W 20th street. That makes Broadway a transversal of parallel lines, and it makes the angle of interest a corresponding angle to the one whose measure is shown.

In this (assumed) geometry, corresponding angles are congruent, so the angle of interest has measure 105°.

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step-by-step explanation:

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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:

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