Jason has 75 feet of wallpaper border. He wants to put up a wallpaper border around his rectangular bedroom that measures 12 feet by 14 feet. He multiplies 12 x 14 = 168 to get an exact answer of how much border he needs. He concludes that he does not have enough border for the whole job.1. Tell how you can critique Jason’s reasoning.2. Critique Jason’s reasoning3. Jason uses an overestimate to decide how many rolls of wallpaper he needs for another’s room. Explain why his reasoning to use an overestimate does or does not make sense

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general 4 months ago 5713

Need help please. Just need my answers checked. Thanks in advance. My answers are in brackets.1. The coordinates of the vertices of ΔJKL are J(-5, -1) , K(0, 1) , and L(2, -5). Which statement correctly describes whether ΔJKL is a right triangle?a. ΔJKL is a right triangle because JK is perpendicular to JL.b. ΔJKL is a right triangle because JL is perpendicular to KL.c. ΔJKL is a right triangle because JK is perpendicular to KL.[ d. ΔJKL is not a right triangle because no two of its sides are perpendicular. ]2. The coordinates of the vertices of ΔJKL are J(0, 2) , K(3, 1) , and L(1, -5). Drag and drop the choices into each box to correctly complete the sentences.The slope of JK is [ -¹/₃ ], the slope of KL is [ 3 ], and the slope of JL is [ -7 ]. ΔJKL [ is ] a right triangle because [ two of these slopes have a product of -1 ].answer choices: -3 ; 3 ; -7 ; -¹/₃ ; ¹/₇ ; is ; is not ; two of these slopes have a product of -1 ; no two of these slopes have a product of -13. The coordinates of the vertices of quadrilateral DEFG are D(-2, 5) , E(2, 4) , F(0, 0) , and G(-4, 1). Which statement correctly describes whether quadrilateral DEFG is a rhombus?a. Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.[ b. Quadrilateral DEFG is not a rhombus because there is only one pair of opposite sides that are parallel. ]c. Quadrilateral DEFG is not a rhombus because opposites sides are parallel but the four sides do not all have the same length.d. Quadrilateral DEFG is not a rhombus because there are no pairs of parallel sides.The slopes of the sides are:DE = -¹/₄EF = 2FG = -¹/₂GD = 2I'm debating between A and B.4. The coordinates of the vertices of quadrilateral ABCD are A(-4, -1) , B(-1, 2) , C(5, 1) , and D(1, -3). Drag and drop the choices into each box to correctly complete the sentences.The slope of AB is [ 1 ], the slope of BC is [ -¹/₆ ], the slope of CD is [ 1 ], and the slope of AD is [ -²/₅ ]. Quadrilateral ABCD [ is not ] a parallelogram because [ only one pair of opposite sides is parallel ].answer choices: -²/₅ ; -¹/₆ ; 1 ; ³/₂ ; is ; is not ; both pairs of opposite sides are parallel ; only one pair of opposite side is parallel ; neither pair of opposite sides is parallel5. The coordinates of the vertices of quadrilateral PQRS are P(-4, 2) , Q(3, 4) , R(5, 0) , and S(-3, -2). Which statement correctly describes whether quadrilateral PQRS is a rectangle?a. Quadrilateral PQRS is not a rectangle because it has only two right angles.b. Quadrilateral PQRS is a rectangle because it has four right angles.c. Quadrilateral PQRS is not a rectangle because it has only one right angle.d. Quadrilateral PQRS is not a rectangle because it has no right angles.I'm not sure about this one.Thanks again.

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general 4 months ago 8968

1. Marco and Drew stacked boxes on a shelf. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed 8 lb less than the boxes Marco lifted.Let m represent the weight of the boxes that Marco lifted.Which expression represents the total number of pounds Drew lifted?A. 9(m+8)B. 112mC. m−8D. 14(m−8)2. Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.Let p represent the refrigerator’s original price.Which equation models this situation?A. 0.15p=p−150B. 0.15p=p+180C. 0.85(p−150)=pD. 0.85p=p−1503. Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2 h, and Car B traveled the distance in 1.5 h. Car B traveled 15 mph faster than Car A.How fast did Car B travel?(The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.)Enter your answer for the box.? mph4. Louann and Carla received equal scores on a test made up of multiple choice questions and an essay. Louann got 14 multiple choice questions correct and received 24 points for her essay. Carla got 16 multiple choice questions correct and received 14 points for her essay.How many points was each multiple choice question worth?Enter your answer in the box.? points5. In May, Liam and Charlie had the same amount of money in their savings accounts. In June, Liam deposited $140 into his account. Charlie said he increased the money in his account by 5%. When they compared their balances, they found that they were still equal.How much money did they both have in their accounts in May?Enter your answer in the box.$?

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general 4 months ago 6332