If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true?
A. ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
B. segment DE ~ segment AB because corresponding parts of similar triangles are similar
C. ΔABC ~ ΔFDE because of the AA similarity postulate
D. segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations

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.

Asap its important using the information in the customer order, determine the length and width of the garden. enter the dimensions. length: feetwidth: feet

Write the pair of fractions as a pair of fractions with a common denominator