Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
Using a graphing tool
The solution of the system of inequalities in the attached figure
