Cyclozocine was an alternative to methadone for treating heroin addiction. The following data came from 14 males who were chronic heroin addicts. After cyclozocine had removed the addicts’ dependence on heroin, they were asked a battery of questions to assess their psychological dependence. The test scores are called Q-scores, and high values represent less psychological dependence. The Q scores were as follows: 51 53 43 36 55 55 39
43 45 27 21 26 22 43
Estimate the average Q score for heroin addicts treated with cyclozocine with 95% confidence.

equal to

step-by-step explanation:

a: inscribed angles

step-by-step explanation:

i reviewed this question with a peer and teacher, seems to be correct, me later

  b:   ∠x = 28.6°, ∠y = 31.2°, ∠z = 120.2°

step-by-step explanation:

this is one of those questions where "test taking skill" is all you need. the only answer that has angles that sum to 180° is the one shown above. the remaining choices do not describe the angles of a triangle.

if you want to do more work than simply adding the offered numbers, you can also check them against the law of sines. it should be true that

  x/sin(x) = y/sin(y) = z/sin(z)

and all of these ratios must be greater than 15, the longest side length.

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if you want to solve the triangle from scratch, i'd suggest solving for the largest angle using the law of cosines.

  z² = x² +y² -2xy·cos(z)

  z = arccos((x² +y² -z²)/(2xy)) = arccos(-75.11/149.4) = 120.182°

now you can find y from the law of sines

  y = arcsin(y/z·sin(z)) = 31.242°