The vertices of δabc are a (1, 5), b (3, 9), and c (5, 3). the vertices of δdef are d (−3, 3), e (−2, 5), and f (−1, 2). which conclusion is true about the triangles? the ratio of their corresponding sides is 1: 3. they are congruent by the definition of congruence in terms of rigid motions. the ratio of their corresponding angles is 1: 3. they are similar by the definition of similarity in terms of a dilation.

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) =