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• most executive departments, such as the department of defense, are headed by which of the following?
  
• δjkl has j = 7, k = 11, and m∠j = 18°. complete the statements to determine all possible measures of angle k. triangle jkl meets the criteria, which means it is the ambiguous case. substitute the known values into the law of sines: startfraction sine (18 degrees) over 7 endfraction = startfraction sine (uppercase k) over 11 endfraction. cross multiply: 11sin(18°) = . solve for the measure of angle k, and use a calculator to determine the value. round to the nearest degree: m∠k ≈ °. however, because this is the ambiguous case, the measure of angle k could also be °.
  
• the sum of a number and its square is 42. which equation can be used to find the two numbers for which this is true? x2 + x = 42 x2 + 2x = 42 x2 + x + 42 = 0 x2 + 2x + 42 = 0
  
• a coordinate grid with 4 lines. line a passes through (0, 5) and (4, 3.75). line b passes through (3.75, 0) and (0, negative 5). line c passes through (0, negative 5) and (negative 3.75, 0). line d passes through (negative 3.75, 0) and (0, 5). which line represents the linear equation –3y = 15 – 4x? the equation –3y = 15 – 4x rewritten in slope-intercept form is . the y-intercept is and the slope of the line is . line is the graph of the line –3y = 15 – 4x.
  
• given: ab = 12 ac = 6 prove: c is the midpoint of ab. proof: we are given that ab = 12 and ac = 6. applying the segment addition property, we get ac + cb = ab. applying the substitution property, we get 6 + cb = 12. the subtraction property can be used to find cb = 6. the symmetric property shows that 6 = ac. since cb = 6 and 6 = ac, ac = cb by the property. so, ac ≅ cb by the definition of congruent segments. finally, c is the midpoint of ab because it divides ab into two congruent segments.
  
• which of the following statements about using supporting materials in your speeches is not true? a. each piece of support should be clearly relevant to the point it is used to support. b. each piece of support needs to be developed to the point that audience members can both understand the item of support and see how the item backs up the point it is used to support. c. each piece of supporting material should meet the demands that the audience and the occasion place on the kind of material that is likely to be received favorably. d. the presentation should rely excessively on one type of support (such as examples). please select the best answer from the choices provided a b c d
  
• who painted the image above? a. jean-francois millet b. gustave courbet c. thomas eakins d. honore daumier
  
• which word does wordsworth use to create an upbeat tone? bay crowd twinkle stretched
  
• what was the aim of the mikhail gorbachev's perestroika? a to move the soviet union closer to communism b to move the soviet union closer to capitalism c to move the soviet union closer to socialism d to move the soviet union closer to republicanism
  
• which of the following instruments are traded in the capital markets? check all that apply.