Since its a linear pair,
(2x+4)° + (x+23)° = 180° (Since a linear pair = 180°)
2x+x+4+23 = 180°
3x+27 = 180°
3x = 180° - 27
3x = 153°
x =153/3
x = 51
Therefore, (2x+4)° = 2*51+4
= 106°
&
(x+23) = 51+23
= 74°
Hope you understood!
Answer:
Step-by-step explanation:
Let x be the price increase.
<u>Then the current price is: </u>
<u>Then the number of passengers is:</u>
<u>Then the revenue: </u>
- Revenue = Price * Number of Passengers
- R = (50 + x)(8000 − 100x) =
- - 100x² + 3000x+ 400000
This is a quadratic relationship. Maximum point is obtained at vertex.
<u>Vertex is determined by x = - b/2a, find the value of x:</u>
- x = - 3000 / (-2*100) = 15
<u>The maximum revenue is:</u>
- R = (50 + 15)(8000 − 100 * 15) = 424500
