Answer:
Both equal 121 degrees
Step-by-step explanation:
Vertical angles are equal, and and 2 are indeed vertical angles. They are the "top" and "bottom" of the x formed. So you can use this.
angle 1 = angle 2
20x + 21 = 30x - 29
50 = 10x
5 = x
So just plug this in.
20x + 21
20(5) + 21
121
30x - 29
30(5) - 29
121
So both are 121.
<span>The answer is 0.06325. The probability of detecting the true presence is 98% = 0.98. The probability of not detecting the true presence is: 100%-98% = 2% = 0.02. The probability of detecting the true absence is 97% = 0.97. The probability of not detecting the true absence is: 100%-97% = 3% = 0.03. The probability of having the disorder is: 3.5% = 0.035. The probability of not having the disorder is 100% - 3.5% = 96.5% = 0.965. The probabilty of having a disorder and detecting the true presence is: 0.035 * 0.98 = 0.0343. The probability of not having the disorder and detecting the true absence is: 0.965 * 0.03 = 0.02895. The probability that a randomly chosen person tests positive is: the probabilty of having a disorder and detecting the true presence + the probability of not having the disorder and detecting the true absence = 0.0343 + 0.02895 = 0.06325.</span>
(2x-1)(2x-1)
(4x^2+2x+1)(2x-1)
(2x-1) cancels out so
2x-1
4^2+2x+1