Answer:
Figure 5
Step-by-step explanation:
Figure 5, if you draw a line down the middle it is the same on both sides
Parameterize the lateral face

of the cylinder by

where

and

, and parameterize the disks

as


where

and

.
The integral along the surface of the cylinder (with outward/positive orientation) is then




Based on the definition of congruent angles, the value of x is: 23.
<h3>What are Congruent Angles?</h3>
Congruent angles have the same measure. Examples of angles that are congruent are:
- Alternate interior angles
- Alternate exterior angles
- Corresponding angles
Thus:
(5x + 16) = (6x - 7) -- congruent angles
Combine like terms
5x - 6x = -16 - 7
-x = -23
x = 23
Therefore, based on the definition of congruent angles, the value of x is: 23.
Learn more about congruent angles on:
brainly.com/question/1675117
Answer:
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223
Step-by-step explanation:
Given that :
2 point goals
Number of 3 point goals = x
Number of 2 point goals = 3x - 62
Number of free throws = 3x - 62 - 30 = 3x - 32
3x + 2(3x - 62)+ 3x - 32= 864.
3x + 6x - 124 + 3x - 32 = 864
12x = 864+ 124 + 32
12x =1020
x = 1020 / 12
x = 85
Number of 3 point goals = 85
Number of 2 point goals = 3(85) - 62 = 193
Number of free throws = 3(85)- 32 = 223