The angle relationship and their reasons are:
- m∠HED = m∠FEJ ---> Vertical angles theorem
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
- m∠LFG + m∠GFK = 180 ---> linear pair
The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:
∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.
- m∠HED = m∠FEJ ---> Vertical angles theorem
∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.
- m∠KFE = m∠DEH ---> Alternate interior angles theorem
∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.
- m∠LFG = m∠DEH ---> Alternate exterior angles theorem
∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.
- m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem
∠DEJ and ∠EFL are corresponding angles, therefore, they are equal based on the corresponding angles theorem.
- m∠DEJ = m∠EFL ---> Corresponding interior angles theorem
∠LFG and ∠GFK are angles on a straight line, therefore the sum of both angles will equal 180 degrees because they are a linear pair.
- m∠LFG + m∠GFK = 180 ---> linear pair
Learn more about angle relationship on:
brainly.com/question/12591450
Answer:
Step-by-step explanation:
- Initial amount = 2112 g
- Time = 188 days
- Half-life = 47 days
188 days / 47 days = 4 periods
<u>Mercury left after 188 days:</u>
- 2112 * (1/2)^4 =
- 2112* 1/16 =
- 2112/16 =
- 132 g
Answer:
Step-by-step explanation:
1. -35, 2
2. -72, -6
3. -16, 0
4. 40, 13
5. -15, 2
6. -30, 7
7. 30, 11
8. 42, -13
9. -3, -24
10. -4, 20
11. 7, 1
12. 4, -24
13. -7, -70
14. 4, 9
15. 7, -3
16. 9, 3
17. -10, 11
18. 6, -5
19. 11, 6
20. 1, -9
21. -9, 4
22. -8, 7
23. 6, 4
24. -7, -5
25. 11, 4
26. 10, 3
27. -8, 5
28. -9, 0
