Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
- of the ASA congruence theorem.
-of the AAS congruence theorem.
- of the third angle theorem.
-all right triangles are congruent.

Do graduates from uf tend to have a higher income than students at fsu, five years after graduation? a random sample of 100 graduates was taken from both schools. let muf be the population mean salary at uf and let mufsu be the population mean salary at fsu. how should we write the alternative hypothesis?

Ablock of wood is a cube whose side is x in. long. you cut off a 1-inch thick piece from the entire right side. then you cut off a 3-inch thick piece from the entire top of the remaining shape. the volume of the remaining block is 2,002 in3. what are the dimensions of the original block of wood?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.