Answer:
y = 81°
Step-by-step explanation:
let the 5 th angle in the pentagon be x
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 5, then
sum = 180° × 3 = 540°
sum the angles and equate to 540
x + 95 + 125 + 116 + 105 = 540
x + 441 = 540 ( subtract 441 from 540 )
x = 99°
x and y are adjacent angles and supplementary, sum to 180° , that is
x + y = 180°
99° + y = 180° ( subtract 99° from both sides )
y = 81°
The answer would be A. 198 cm. To find the circumference of a circle you take c=2piR. You would find the circumference of the bigger wedges and divide by 2 since it makes up 1/2 the circle. Then you would do the same for the smaller wedges and it would be approximately 198 cm
The hypothesis of the statement is I can join an orchestra.
The hypothesis refers to a presumption or statement which may hold true or not pending the outcome of an experiment or study.
Here, the hypothesis will be that, the subject can join an orchestra.
However, before validating this hypothesis, we need to establish that the subject can play the clarinet, which is the test which would be carried out.
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Log w (x^2-6)^4
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)