Mary earns $16 an hour plus $20 an hour for every hour of overtime. overtime hours are any hours more than 30 hours for the week. part a: create an equation that shows the amount of money earned, m, for working x hours in a week when there is no overtime. (3 points) part b: create an equation that shows the amount of wages earned, t, for working y hours of overtime. hint: remember to include in the equation the amount earned from working 30 hours. (3 points) part c: mary earned $580 in 1 week. how many hours (regular plus overtime) did she work? show your work. (4 points)

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