Answer:
If A and B are vertical angles, then they are congruent, so their measures are equal.
This means
(5x + 5)º = (4x + 29)º
5x + 5 = 4x + 29
x = 24
Then angle A has measure (5*24 + 5)º = 125º.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
38,674.This area represents the increase in population over a 10-year period. 
Step-by-step explanation:
When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.
The birth rate is graphed in green and the death rate is graphed in blue.
To find the area, take the integral of the difference of the functions:
 
 
 
        
             
        
        
        
Answer:
We know
1 jar = 500 buttons
5 people bring 330 buttons EACH
We can find/solve by...
people x buttons = total buttons
total buttons / 500 = number of jars needed
So..
5 x 330 = 1650
1650 / 500 = 3.3
Your answer:
4 jars
Explanation
It's impossible to have 3.3 jars, so you must round up.
Step-by-step explanation:
 
        
             
        
        
        
-2x + 5 = -1
subtract 5 from both sides: -2x = -6
divide each side by -2: x = 3
plug in 3: 5(3)
multiply: 15
the value of 5x is 15.