Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.
Answer:
9r
Step-by-step explanation:
1.5r - 3r + 10.5r
10.5r + 1.5r = 12r
12r - 3r = 9r
Final Answer = 9r
Answer:
48
Step-by-step explanation:
Angle A plus AC and that adds up too 48
Answer:
x =12
Step-by-step explanation:
The two angles add to 90 degrees
4x+4 + 5x-22 = 90
Combine like terms
9x - 18 = 90
Add 18 to each side
9x -18+18 = 90+18
9x = 108
Divide each side by 9
9x/9 = 108/9
x =12
Answer:
Step-by-step explanation:
You know an angle, the side opposite the angle, and the side between them.
Use the Law of Sines.
j3 = arcsin(2.7sin(j1)/4.2) ≅ 27.0°
j2 = 180°-j1-j3 ≅ 108.0°
x = distance from j1 to j2
= 4.2sin(j2)/sin(j1)
≅ 5.7 miles
