Cynthia is mowing lawns for extra money. The amount of money she made after putting gas in the lawnmower is shown below. Cynthia's Mowing
Money Made in Dollars 37 77 117 157
Number of Lawns 2 4 6 8

A.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 minus 3.
B.
The amount of money Cynthia made is the 35 more than the number of lawns she mowed.
C.
The amount of money Cynthia made is the 35 less than the number of lawns she mowed.
D.
The amount of money Cynthia made is the product of the number of lawns she mowed and 20 plus 3.

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