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• consider the paragraph proof. given: d is the midpoint of ab, and e is the midpoint of ac. prove:de = bc it is given that d is the midpoint of ab and e is the midpoint of ac. to prove that de is half the length of bc, the distance formula, d = , can be used to determine the lengths of the two segments. the length of bc can be determined with the equation bc = , which simplifies to 2a. the length of de can be determined with the equation de = , which simplifies to ________. therefore, bc is twice de, and de is half bc. which is the missing information in the proof? a 4a a2 4a2
  
• the purpose of the potsdam declaration was to prevent further aggression by japan during world war ii. the declaration stated that japan could no longer have a standing
  
• vexed with having such a bad haul, when he had mended his nets, which the carcase of the ass had broken in several places, he threw them a second time. in drawing them in he again felt a great weight, so that he thought they were full of fish. but he only found a large basket full of rubbish. he was much annoyed.""o fortune,"" he cried, ""do not trifle thus with me, a poor fisherman, who can hardly support his family!""so saying, he threw away the rubbish, and after having washed his nets clean of the dirt, he threw them for the third time. but he only drew in stones, shells, and mud. he was almost in despair.–“the story of the fisherman,”andrew langewhich group of words from the passage appeal to sight?
  
• which of the following items helped president johnson persuade congress to pass kennedy’s civil rights legislation? proposed income tax cuts economic depression civil rights protests public sympathy
  
• which sentence best uses a split infinitive to clearly emphasize the message of safe driving? before getting behind the wheel, young drivers must remember not to text. young drivers must remember to narrow their focus fully when they get behind the wheel. young drivers must remember to always turn off cell phones before getting behind the wheel. when driving a car, young drivers need to most importantly remember to completely ignore their phones.
  
• ben and his housemates signed a lease for an apartment for 12 months for $563 per month of which ben agreed to pay $215 per month. which of the following statements best gives the reasons that ben’s rent payment is an essential (fixed) expense? a. it cannot be eliminated in a later budget, in order to save money. b. living expenses have a higher priority than any other type of expense. c. the spender controls the amount of the rent by choice of apartment. d. he agreed to pay the same amount every month.
  
• moving from being the biggest and oldest in elementary school to being the youngest in middle school is best described by which term?
  
• solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 what equation is the result of adding the two equations? what is the solution to the system?
  
• mara carried water bottles to the field to share with her team at halftime. the water bottles weighed a total of 60x2 + 48x + 24 ounces. which factorization could represent the number of water bottles and weight of each water bottle?
  
• which statement best reflects the united states' reluctance to accept the angolan government after its independence?