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Answer:
Inequality Form: -5 < x < 2
Step-by-step explanation:
Move all terms not containing x from the center section of the inequality.
Inequality Form: -5 < x < 2
Interval notation: (-5,2)
Answer:
1) 2x + 3x - 10 + 50 = 180
5x = 180 - 50 + 10 = 140
x = 140/5 = 28°
2) 3x + 15 + 4x + 5 + x = 180
8x = 180 - 15 - 5 = 160
x = 160/8 = 20°
Angle A = 3 (20) + 15 = 60 + 15 = 75°
3) x + 3x + 5x = 180
9x = 180
x = 20°
4) 48 + 2x = 180
2x = 180 - 48 = 132
x = 132/2 = 66°
5) 110 + 6x + 8x = 180
14x = 180 - 110 = 70
x = 70/14 = 5°
Angle C = 8 * 5 = 40°
Image: Attached
Given:
The two statements.
To find:
The probability of an impossible event.
The probability of a certain event.
Solution:
Formula for probability is:

For an impossible event, the possible favorable outcomes is 0. So,


For a certain event (sure event), the possible favorable outcomes is equal to total number of outcomes. So,


Therefore, an event that is impossible has probability 0 and an event that is certain has probability 1.