Polly surveyed 850 teenagers to find out their favorite type of music. she found that 32% of the teenagers surveyed like hard rock.

part a: how many teenagers surveyed like hard rock? show your work. (4 points)

part b: in another survey, damian found that 75% of the total number of teenagers surveyed like pop music. if 150 teenagers like pop music, what is the total number of teenagers that damian surveyed? show your work. (4 points)

part c: give an example of a situation in which a percentage is greater than 100%. (2 points

Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?

Which rectangle if translated 6 units right and 16 units down and the rotated 90° clockwise about the point (4, -11) will result in rectangle e?

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