Mathematics, 12.11.2019 01:31 katy1110
The county water department charges a service fee of $10.15 plus $0.005 for each gallon of water used. the inequality shown is used to
determine the number of gallons of water, x, used by customers whose monthly charges range from $35 to $55.
35 < 10.15 + 0.0051 < 55
vi
which statement best describes the gallons of water used by the customers with charges represented by the inequality above?
a. these customers use more than 4,970 gallons but less than 8,970 gallons of water per month.
b. these customers use at least 4,970 gallons but no more than 8,970 gallons of water per month.
c. these customers use more than 6,990 gallons but less than 10,990 gallons of water per month.
these customers use at least 6,990 gallons but no more than 10,990 gallons of water per month
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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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The county water department charges a service fee of $10.15 plus $0.005 for each gallon of water use...
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