Answer:
Explained below.
Step-by-step explanation:
Complementary angles are angles that sum up to 90°.
Here,
Then,
Angle P + Angle Q = 90°
2x + 7x = 90°
9x = 90°
x = 90/9
x = 10°
Therefore,
- Measurement of Angle P = 2x = 2*10 = 20°
- Measurement of Angle Q = 7x = 7*10 = 70°

Answer:
Putting up Christmas lights around the house
(a) We use product rule here. P'(x) = F'(x)G(x) + F(x)G'(x).P'(2) = F'(2)G(2) + F(2)G'(2). Looking at the graph: F'(2) = 0, F(2) = 3, G'(2) = 1/2, G(2) = 2. Hence, P'(2) = (0)(2) + (3)(1/2) = 1.5.
(b) Using the quotient rule here. Q'(x) = (G(x)F'(x) - F(x)G'(x))/G(x)^2. Looking at the graph: F'(7) = 1/4, F(7) = 5, G'(7) = -3/2, G(7) = 1. Q'(7) = (1*1/4-5*(-3/2))/1^2 = 31/4 = 7.75.
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Answer:
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Step-by-step explanation: