Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Let y be the unknown number
The other number is x - 12
Answer:
Step-by-step explanation:
Answer :c
I think sorry if it’s not correct
Answer:
range: {y: y ≥ 0} ⇒ h(x)
decreasing over(-∞ , 1) ⇒ h(x)
increasing over (-∞ , 0) ⇒ g(x)
range: {y: y ≤ 1} ⇒ g(x)
increasing over (1 , ∞) ⇒ h(x)
decreasing over(0 , ∞) ⇒ g(x)
Step-by-step explanation:
∵ h(x) = (x - 1)²
∴ Its vertex is (1 , 0)
∴ The parabola is opened upward
∴ The range: {y: y ≥ 0}
∴ It's decreasing over (-∞ , 1)
∴ It's increasing over (1 , ∞)
∵ g(x) = -(x - 1)(x + 1) = -(x² - 1) = -x² + 1
∴ Its vertex is (0 , 1)
∴ The parabola is opened downward
∴ The range: {y: y ≤ 1}
∴ It's increasing over (-∞ , 0)
∴ It's decreasing over (0 , ∞)
