Mathematics, 23.09.2021 14:00 campilk5
Twenty years ago a small town in Texas had a population of 10,000. The population has increased 8% each year since then. Predict what the population of the town will be in 10 more years. a. In 10 more years the population of this town will be approximately 21,589 b. In 10 more years the population of this town will be approximately 100,626 c. In 10 more years the population of this town will be approximately 123,794 d. In 10 more years the population of this town will be approximately 81,966
Answers: 1
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Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height
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In trapezoid abcd, ac is a diagonal and ∠abc≅∠acd. find ac if the lengths of the bases bc and ad are 12m and 27m respectively.
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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
Answers: 1
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