Answer:
FOR QUESTION 2
1. Segment addition postulate
2. Substitution
3. Substitution
4. Addition property of equality
5. Division property of equality
6 symmetric property
FOR QUESTION 3
1. given
2. Definition of complementary angles (complementary angles add upto 90)
3. Substitution
4. Subtraction property of equality
FOR QUESTION 4
1. Given
2. Definition of supplementary angles (supplementary angles add upto 180)
3. Definition of supplementary angles
4. Substitution
5. Subtraction property if equality
6. Definition of congruent angles (congruent angles are equal)
Step-by-step explanation:
Answer: The waiting time will be 32 minutes when 240 people in line.
Step-by-step explanation:
Let us assume that the waiting time is directly proportional to the number of people in the queue.
Equation of direct proportion between variables x and y : 
Put
to find
.

Hence, the waiting time will be 32 minutes when 240 people in line.
Answer:
d≈3.5
Step-by-step explanation:
d= C/π =11/π≈3.50141
Brainliest plz
The equation of the rotating light is an illustration of a secant function
The equation that represents the distance between the center of the circle and the light source is 
<h3>How to determine the equation</h3>
The equation is a secant function represented by

Where:
A represents the amplitude
So, we have:
--- the distance of the light from each square wall
B represents the period, and it is calculated as:

The light completes its full rotation every 6 seconds.
This means that,
T = 6
So, we have:

Simplify

Substitute values for A and B in 

Rewrite as a function

Hence, the equation that represents the distance between the center of the circle and the light source is 
Read more about trigonometry functions at:
brainly.com/question/1143565
<span>6 km × 1 hour/(b-4 km) = 12 km × (1 hour/(b+4 km)
6/(b-4) hours = 12/(b+4) hours
6(b+4) = 12(b-4)
6b + 24 = 12b - 48
72 = 6b
b = 12
The boat's speed in still water is 12 km/hour.</span>