What system of linear inequalities is shown on the graph?

Step-by-step explanation:

Equation of line that passes two points (a,b) and (c,d) :

Dotted line passes through (0,2) and (-3,1).

Equation of Dotted line :

Inequality for dotted line (values on line is not included for dotted)

 (shaded below )

Solid line passes through (0,2) and (1,0)

Inequality for dotted line (values on line is included for solid line)

(shaded leftwards )

∴ System of linear inequalities is shown on the graph:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

the formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. if a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.