BRAINLIEST TO CORRECT! Martin purchased a condo below market value in 2001. He paid $92,500 for the condo even though the market value of the condo was much higher. In 2014, Martin transferred to another city for work and had to sell his condo. The market value of his condo increased over time, as shown in the graph below, where the y-axis represents the market value of the condo, in dollars, and the x-axis represents the number of years since 2001. The initial market value of the condo is $ . The percent increase per year of the market value of the condo is %. The interval on which Martin owned the condo is ≤ x ≤ .

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