Kacey and her friends went out for lunch, and they wanted to leave a 15% tip. The receipt shown below lists the lunch total before tax and tip. The sales tax rate on food in Pleasantville is 5.6%. They intend to leave the 15%
tip on the entirety of the lunch including tax.
SAM'S WORLD FAMOUS BURGER
1522 OAK ROAD
PLEASANTVILLE, USA
BBQ BURGER W/CHEESE
CHICKEN FINGER BASKE
MUSHROOM BURGER
CHILI CHEESE FRIES
9.99
8.99
10.99
8.99
TOTAL: 336.96
THANKS FOR YOUR BUSINESS.
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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