Given: \overline{AC} \cong \overline{BD} AC
≅
BD
and \overline{DA} \cong \overline{CB}.
DA
≅
CB
.

Prove: \triangle ABC \cong \triangle BAD△ABC≅△BAD.
Step Statement Reason
1
\overline{AC} \cong \overline{BD}
AC
≅
BD

\overline{DA} \cong \overline{CB}
DA
≅
CB

Given

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) =