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:
1cm = 320 km?
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Answer:
2. 
3.
- definition of perpendicular
4.
- all right angles are congruent
6.
7.
Step-by-step explanation:
<u>Given: </u>Point P is the perpendicular bisector of AB
<u>Prove: </u>P is equidistant from the endpoints AB
<u>Proof.</u>
1. Point P is on the perpendicular bisector of AB - given
2.
- definition of bisector
3.
- definition of perpendicular
4.
- all right angles are congruent
5.
- reflexive property of congruence
6.
- SAS congruency postulate
7.
- corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB - definition of equidistant