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• triangle xyz was translated up 2 and right 3 units, creating triangle cab. which relationship between the parts of the two triangles must be true? ∠x ≅ ∠a zx ≅ ca yz ≅ ab ∠z ≅ ∠c
  
• which angle allows the soil to receive the most direct light from the lamp? 0 degrees 20 degrees 45 degrees 90 degrees
  
• in a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π5 radians. what is the arc length? use 3.14 for π and round your final answer to the nearest hundredth. enter your answer as a decimal in the box.
  
• when does government regulate producers in a mixed-market economy? always as needed as requested never
  
• the following chart shows a store?s records of sales of stuffed toys for two months. which of the following are accurate assessments of trends displayed in this graph? i. sales of teddy bears decreased by about 2.9% between september and october. ii. the change in sales of rabbits is roughly equal to the change in sales of all toys. iii. roughly 24.1% fewer horses were sold in october than in september. a. i and ii b. ii only c. i and iii d. iii only please select the best answer from the choices provided a b c d
  
• on a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 1) and (0, 3). everything below and to the right of the line is shaded. which linear inequality is represented by the graph? y ≤ 2x + 4 y ≤ one-halfx + 3 y ≥ one-halfx + 3 y ≥ 2x + 3
  
• polydactylism occurs _______. a. only in cats b. only in humans c. in less than one in 1000 children d. more commonly in certain populations, such as the amish.
  
• you have four fixed-volume containers at stp. container a has 0.5 mol of gas in 11.2 l. container b has 2 mol of gas in 22.4 l. container c has 1 mol of gas in 22.4 l. container d has 2 mol of gas in 11.2 l. which containers have equal pressures?
  
• the more we reflect upon this question, the harder it is to answer. it involves a study of the human heart which leads us through devious mazes of passion, out of which it is difficult to find our way. think of it, fair reader, not as if the decision of the question depended upon yourself, but upon that hot-blooded, semi-barbaric princess, her soul at a white heat beneath the combined fires of despair and jealousy. she had lost him, but who should have him? —“the lady, or the tiger?” frank r. stockton what is the main question the author is building through suspense? will the citizens demand that the princess’s lover be allowed to live? will the king let the princess marry her lover, or make him marry a courtier? will the princess choose to let her lover live, or send him to his death? will the tiger kill the princess, or will it kill her lover?
  
• apply the distributive property to factor out the greatest common factor. \[56+32=\]