Answer:
The answer to your question is ∠FSH = 42°; ∠NSF = 78°; ∠NSH = 120°
Step-by-step explanation:
Data
∠ FSH = 5x - 8
∠NSF = 9x - 12
∠NSH = 10x + 20
Process
1.- Write a equation to solve this problem
∠NSH = ∠NSF + ∠FSH
2.- Substitute values
10x + 20 = 9x - 12 + 5x - 8
3.- Solve for x
10 x - 9x - 5x = - 12 - 8 - 20
10x - 14x = - 12 - 28
- 4x = - 40
x = -40 / -4
x = 10
4.- Find the measure of all three angles
∠FSH = 5(10) - 8
= 50 - 8
= 42°
∠NSF = 9x - 12
= 9(10) - 12
= 90 - 12
= 78°
∠NSH = 10(10) + 20
= 100 + 20
= 120°
5.- Check the answers
120° = 78° + 42°
120° = 120°
The answers are correct
4.5 quarts per minute is 1.125 gallons per minute using the quarts-to-gallons conversion ratio. 1.125 gallons per minute is equal to .01875 when divided by 60, so we have .01875 gallons per hour.
Answer:
A = P x r^t
Step-by-step explanation:
A = Amount (e.g. number of organisms in population after certain period of time)
P = Principal/ Initial Value (e.g. the starting population)
r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)
t = time in whichever units you need.
Example of problem using formula:
A population of 2000 decreases by 20% every year, find the population size after 5 years.
A = ?
P = 2000
r = 0.8
t = 5
A = Pxr^t
A = 2000 x 0.8^5
A = 655.36
Hope this helped!
(b)
i do not know number 2 sorry
3. (A)
hope it helps have a great day :D
Answer:
should be 20
Step-by-step explanation:
yes
