Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. His wife will not set an initial amount aside but will add $485 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=485N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N . Simplify your answer as much as possible.\",[{""content"":""If A=750+135N; and B=485N

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general 9 months ago 8074

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 9 months ago 7484

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 9 months ago 9505