okay so
117° + angle a = 180° (supplementary angle)
angle a = 180 - 117
= 63°
then angle a + angle b + 81° = 180° ( angle sum property)
so... 63° + angle b + 81° = 180
144 + angle b = 180°
angle b = 180 - 144
= 36°
hope this helps.
Answer:
$65.00
Step-by-step explanation:
$60 +$ _ = $125.00
Answer:
300 would be
Step-by-step explanation:
To find the remaining amount of money on the gift card you would substitute 8 in for the variable 't' and solve for g.
g= -9(8) + 100
g = -72 + 100
g = $28
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 , ∞)
