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Mathematics, 16.02.2021 22:30 hard564
Which cube is a unit cube?
a cube that is 5 meters long, 5 meters wide, and 5 meters high
a cube that is 2 feet long, 2 feet tall, and 2 feet high
a cube that is 3 yards long, 3 yards wide, and 3 yards high
a cube that is 1 inch long, 1 inch wide, and 1 inch high
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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
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Which cube is a unit cube?
a cube that is 5 meters long, 5 meters wide, and 5 meters high
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