For ABC:
The interior angle of C is 180 - 142 = 38
The three interior angles add up to 180°
(2x - 15) + (x - 5) + 38 = 180
3x - 20 + 38 = 180
3x + 18 = 180
3x = 162
x = 54
The measure of angle ABC = x - 5 = 54 - 5 = 49
For JKL:
The interior angle of L is 180 - 100 = 80°
The 3 interior angles add up to 180°
(2x + 27) + (2x - 11) + 80 = 180
4x + 16 + 80 = 180
4x + 96 = 180
4x = 84
x = 21
The measure of angle JKL is 2x - 11 = 2(21) - 11 = 42 - 11 = 31°
Answer:
⅖ is the slope
Step-by-step explanation:
To find slope:




Answer:
1 theater
Step-by-step explanation:
Given
--- Popcorn
--- Movie
See attachment for the table that shows ticket and popcorn prices at five movie theater chains
Required
The number of theaters that supports the given inequality
The given inequality can be combined to give:

From the table entries, only one theater supports this inequality.
Where
--- Movie
--- Popcorn
Which gives:

-18/8 = -2.25
therefore C is less than -2.25
The "cylinder" has a diameter of 6, and therefore its radius is half that, or 3, thus