<span>
<span>
</span><span><span>
Tour
Price
# of Customers
Tour Income
Operating Cost Profit or Loss
</span>
<span>
100
40 4000
6000
-2000
</span>
<span>
150 35 5250
6000
-750
</span>
<span>
200 30
6000
6000
0
</span>
<span>
250 25 6250 6000
250
</span>
<span>
300 20 6000 6000
0
</span>
<span>
350
15 5250 6000
-750
</span>
<span>
400 10 4000 6000
-2000
</span>
<span>
450 5
2250
6000
-3750
</span>
<span>
500
0 0
6000 -6000
The company should offer the tour price of 250 to earn a profit. any price less or more than 250 will either give them 0 profit or a loss.
</span></span></span>
Answer:
1. a. Q° = 95°
b. a = 20.3; b = 19.3
2. p = 36; q = 14.4
Step-by-step explanation:
Question 1:
Recall: The Exterior Angle Theorem of a Triangle states that the size of the exterior angle of a triangle equals the sum of the two sizes of the two opposite angles of the triangle.
a. Based on the theorem,
Q° = 41° + 54° = 95°
b.
✔️122° = 4a + 2a (exterior angle theorem)
122 = 6a
Divide both sides by 6
122/6 = a
a = 20.3
✔️122° + 3b = 180° (angles on a straight line)
3b = 180 - 122
3b = 58
b = 58/3
b = 19.3
Question 2:
Recall: Opposite angles of a parallelogram are equal while adjacent/consecutive angles are supplementary.
✔️2p + 3p = 180° (adjacent angles)
5p = 180
p = 180/5
p = 36
✔️2p = 5q (opposite angles)
Plug in the value of p
2(36) = 5q
72 = 5q
72/5 = q
q = 14.4
Answer:
hey
Step-by-step explanation:
By looking at the diagram, we see that angle C is 45 degrees, angle A is 90 degrees, and angle B is unknown
Given that the sum of all the triangle's angle is 180 degrees, angle B is also 45 degrees
This means that we have a 45-45-90 triangle, which has some special properties as shown in the diagram I uploaded.
Thus <u>BC in the simplest term is </u>
Hope that helps!
