Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. folacin is the only b vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. consider the accompanying data on folacin content for randomly selected specimens of the three brands of green tea. brand a: 7.9 7.2 6.6 8.6 8.9 10.1 9.6 8.2 6.9 7.8brand b: 5.2 7.5 9.2 6.1 8.4 6.8brand c: 5.5 5.9 4.1 6.3 6.1 3.8 7.1 4.9does this data suggest that true average folacin content is the same for all brands? carry out a test defining suitable hypotheses and creating a anova table. consider α = 0.05.

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality