You approach this by identifying the line that bounds the shaded area and the side of the line the shaded area represents.
The line that has positive slope has a slope of 1 (it goes 1 square up for 1 square to the right), and it has a y-intercept of -2. Thus its equation is
y = x - 2
The shaded area is below this solid line, so corresponds to the solution to
y ≤ x - 2
Only one answer selection includes this inequality—the last one. You answer this by making the selection of that system of inequalities.
y ≤ x - 2
y ≤ -3x -6
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Had there been more choices that included the inequality we found, you would then look at the other line. It has a slope of -3 (down 3 squares for each square to the right) and it intersects the y-axis at y = -6. Thus its equation is
y = -3x - 6
Again, the shaded area is below the line (y values are less than those defined by the line), so the shaded area corresponds to the solution of
y ≤ -3x - 6
Now, you have both of the inequalities in the system of inequalities. The shaded area is the area that belongs to the solution sets of both of them.
Answer:
Step-by-step explanation:
Since we know the line passes through the point , we can plug this point into the equation and solve for :
Answer:
I really cant see the picture that well or, i would help.
Step-by-step explanation:
The measure of angle 2 is
<em><u>Solution:</u></em>
Given that angle 1 and angle 2 are congruent
The angle 1 measures
<em><u>To find: measure of angle 2</u></em>
Congruent angles are two or more angles that have the same measure
In other words, Congruent Angles have the same angle
Therefore, if angle 1 and angle 2 are congruent, then they both have same measure of angle
Measure of angle 1 = measure of angle 2
= measure of angle 2
Thus measure of angle 2 is