A music competition on television had five elimination rounds. After each elimination, only half of the contestants were sent to the next round. The table below shows the number of contestants in each round of the competition: x 1 2 3 4 5 f(x) 64 32 16 8 4 Compute the average rate of change of f(x) from x = 3 to x = 5 and describe what it represents. −6 contestants per round, and it represents the number of contestants who will reach the final round −28 contestants per round, and it represents the number of contestants who will reach the final round −6 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round −28 contestants per round, and it represents the average rate at which the number of contestants decreased from the third round to the fifth round

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general 10 months ago 1145

Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates to the vertices of a rectangle as shown.Which sentence describes what Erika should do to prove that the diagonals of the rectangle are congruent? Show that the slope of KM¯¯¯¯¯¯¯ is ba and the slope of JL¯¯¯¯¯ is −ba. Show that the diagonals intersect at (a2, b2) . Show that JL=KM=a2+b2−−−−−−√. Show that JL¯¯¯¯¯ and KM¯¯¯¯¯¯¯ have the same midpoint.

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general 10 months ago 9505

Two supporting reasons are missing from the proof. Complete the proof by dragging and dropping the appropriate reasons into each of the empty boxes.Given: m∥nm∠1=120°Prove: m∠6=60°The figure shows what appear to be parallel lines n and m rising from left to right with line m above line n. Line p rises slightly from left to right first intersecting line n, then line m. The angles formed by the intersection of lines p and m are numbered from 1 through 4 in a clockwise direction starting with angle 1 which is located above line m and to the left of line p. The angles formed by the intersection of lines p and n are numbered 5 through 8 in a clockwise direction with angle 5 above line n and to the left of line p.Statements Reasons​ m∥nm∠1=120° ​ Given∠5≅∠1 m∠5=m∠1 Angle Congruence Postulatem∠5=120° Substitution Property of Equalitym∠6+m∠5=180° m∠6+120°=180° Substitution Property of Equalitym∠6=60° ​ Subtraction Property of EqualityLinear Pair PostulateAlternate Interior Angles TheoremSubstitution Property of EqualityCorresponding Angles Postulate

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general 10 months ago 7484