Let angle be x
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)
4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 = 3 1/3 x
x = 240 / 10/3 = 240 * 3/10 = 72 degrees Answer
Answer: It is a proportional relationship because a proportional relationship is known as a relationship between two quantities, in which the ratio of one quantity to the other quantity is constant.
Step-by-step explanation:
<h3>
Answer: Choice B</h3>
Explanation:
The general template of a sine function is
y = Asin(B(x-C))+D
The value of B is the only thing that determines the period T. We ignore every other term.
It turns out that T = 2pi/B which can be solved to B = 2pi/T
Plug in the given period of T = 8pi and compute to get
B = 2pi/T
B = (2pi)/(8pi)
B = 2/8
B = 1/4
This means that the term out front of the x is 1/4 and the equation must be
which matches with answer choice B.
Step-by-step explanation:
1. 3x + 4 = 19
3x = 15
x = 5
2. 7 + 2x = 15
2x = 8
x = 4