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
...6 and 10 are roots, so x – 6 and x – 10 are factors.
y = a(x – 6)(x – 10).....plug in the point (8, 2) and solve for a:
2 = a(8 – 6)(8 – 10)
2 = –4a
a = –1/2
...y = (–1/2)(x – 6)(x – 10)
...y = (–1/2)(x² – 16x + 60)
...y = (–x²/2) + 8x – 30 <<<------Answer, or:
...y = (–1/2)(x – 8)² + 2 <<<------Answer
Answer:
Greater
Step-by-step explanation:
A number must be greater that a small percentage of the number
Greater
---------------------
45% = 0.45
.45 x = 45
Divide both sides by .45
x = 100
Answer:
Many solutions
Step-by-step explanation:
5 ( n - 2 ) = 5n - 10
5 ( n ) + 5 ( - 2 ) = 5n - 10
5n - 10 = 5n - 10
The value of n can be any number.
So,
this equation has many solutions.
