Pq and rs are two lines that intersect at point t, as shown below: two lines pq and rs intersect at point t. angles ptr and stq are shown congruent. which fact is used to prove that angle ptr is always equal to angle stq? if two angles are equal to the same measure, then the angles are congruent. if two angles are equal to the same measure, then the angles are supplementary. lines pq and rs have a fixed length. lines pq and rs intersect at right angles.

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Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =