Nolan's Bank Account 40-1
35
Q
30
Error Analysis Nolan began with $35 in his bank
account and spent $5 each day. The line models
the amount of money in his bank account. He
incorrectly wrote an equation for the line in
slope-intercept form as y= -5x + 7. What is the
correct equation for the line in slope-intercept
form? What mistake might Nolan have made?
What is the correct equation for the line in
slope-intercept form?
Number of Dollars
25
20
15
10-
5-
0
12
14
10
Number of Days

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