Step-by-step explanation:
If the tickets given to employees = 40
Then tickets given to listeners = 2 x no of employees tickets
= 2 x40 = 80
Total tickets = 40+ 80 = 120
Answer: -1/3
Step-by-step explanation:
Slope is the difference between the y coordinate points divided by the x coordinate points
We have (-1, 2) and (-4, 3)
Slope = 3 - 2/ -4 - (-1)
Slope = -1/3
Answer:
57.14
Step-by-step explanation:
12/21 = ?/100
12 time 100=1200
1200 divided by 21 = 57.14
Answer
Haven't done this for a bit but I think it's 19
Step-by-step explanation:
2 * 2 * 2 = 8
27 - 8 = 19
Answer:
All angles in this diagram are 51 or 129. See below for a specific angle.
Step-by-step explanation:
Parallel lines cut by a transversal have specific angle relationships.
- Alternate Interior Angles are angles across the transversal between pairs of parallel lines. These angles are congruent. Example: 3, 6, 7, and 10 are all congruent and are pairs of alternate interior angles. 4, 5, 8, and 9 are congruent as well.
- Alternate Exterior Angles are angles across the transversal outside of the parallel lines. These angles are congruent. Example 2 & 11 are congruent alternate exterior angles. 1 and 12 are another set.
- Supplementary angles are angles which form a line and add to 180. If angle 1 + angle 2 = 180 and angle 2 = 129, then Angle 1+ 129 =180. Angle 1 must be 51 degrees.
- Vertical angles are angles across a vertex. They are congruent. Example: Angle 2 and Angle 3 are both 129.
Using these relationships, the following angles have the following measures:
Angle 1 = 51
Angle 2 = 129
Angle 3 = 129
Angle 4 = 51
Angle 5 =51
Angle 6 = 129
Angle 7 = 129
Angle 8 = 51
Angle 9 = 51
Angle 10 = 129
Angle 11 = 129
Angle 12 = 51
