Answer:
c = 6
Step-by-step explanation:
1/2 (2(4) + 4) = 3(4) - c
1/2 (8 + 4) = 12 - c
1/2 (12) = 12 - c
6 = 12 - c
-6 = -c
c = 6
Answer:
The measure of angle s is 22°
Step-by-step explanation:
Given:
- Horizontal lines A and B are parallel and are intersecting because a line is going through the both of them.
- Top right angle of line A is labeled to be 158°, while the top left angle in line B is labeled S° indicating this variable is the missing degrees.
To find:
- The angle of S, in degrees.
∠1 and 158° are both on a straight line and supplementary.
(Supplementary angles are those angles that sum up to 180 degrees. )
So solving,
⇒ ∠1=180°-158°=22° ....> Angles ∠1 and S are interior angles
Due to lines A and B being parallel, all interior lines are equal.
As a result, the answer is therefore 22°.
<h3>
Answer: 6</h3>
Work Shown:
E = exterior angle = 60 degrees
n = number of sides of the regular polygon
n = 360/E
n = 360/60
n = 6
The regular polygon has 6 sides.
The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:
- 17 x 83 = 1411
- 24 x 81 = 1944
- 31 x 79 = 2449
- 38 x 77 = 2926
- 66 x 69 = 4554
- 73 x 67 = 4891
- 80 x 65 = 5200
- 94 x 61 = 5734
- 101 x 59 = 5959
- 122 x 53 = 6466
- 129 x 51 = 6579
- 150 x 45 = 6750
- 157 x 43 = 6751
- 164 x 41 = 6724
Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Learn more in brainly.com/question/11663530
2(3x +x)=30
8x = 30
x =3.75 = width
3x = 11.25 = length
