two-step eQUATION Mazel Directions: Use your solutions to navigate through the pure SHOW ALL STEPS Starti 4x + 10 = -26 + 10 - 15 9 - 2x - 35 2 * 15-17 15 9 9 8 -2 22 5x - 10 10 x-7 -2 2x+1 2 + 9-27 13-9 4 14 O -14 24 11 19 * +11 -12x - 17 = -89 5 2 34 --8 8 16 -2 1 3 -5 5 6 48 -6 4 -72 -24 -6 17 28 - 32x = 92 5-x = 12 3 13- X = 37 2 END! -16 -7 7. Gina Wilson (All Things Algebra, 0,201​

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