Answer:
b = 4
Step-by-step explanation:
The given expression is
Cos (11b + 2) = Sin (12b - 4)
Since, Sin(θ) = Cos(90 - θ)
Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]
Where 0 < b ≤ 90°
11b + 2 = 90 - (12b - 4)
11b + 2 = 94 - 12b
11b + 12b + 2 = 94 - 12b + 12b
11b + 12b + 2 - 2 = 94 - 2
23b = 92

b = 4
Therefore, b = 4 will be the answer.
Answer:
x=13
Step-by-step explanation:
vertical opposite angles are equal.
Answer:
x=-27
Step-by-step explanation:
-0.57x+0.27x = 8.1
-0.3x = 8.1
x = -8.1/0.3
x = -27
Answer:
202.5 miles
Step-by-step explanation:
We find the unit rate of the mile per gallon
135/6
= 22.5
We multiply 22.5 by 9 to get the miles they can drive on 9 gallons
22.5 * 9
= 202.5
If you round it to the nearest hundredths the answer is .21