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(answered) – 1. The equation of a plane in space is x + 3 y + 2 z = 6.DescriptionSolution downloadThe Question1. The equation of a plane in space is x + 3y + 2z = 6.Accurately sketch the plane on the set of axes, showing all your calculations below.The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and allcalculations below.?? see attachment for full test.? thank you!Graded AssignmentName:MTH203B/204B: Geometry | Unit 7 | Lesson 4: Semester TestDate:Graded AssignmentUnit Test, Part 2Answer the questions below. When you are finished, submit this test to your teacher by the due date for full credit.(9 points)1.The equation of a plane in space is x + 3y + 2z = 6.Scorea.)Accurately sketch the plane on the set of axes, showing all your calculationsbelow.b.)The three planes of the axes and the plane you have sketched create a triangular pyramid. Findthe volume of this pyramid, showing the formula you are using and allcalculations below.Answer:? 2010 K12 Inc. All rights reserved.Copying or distributing without K12?s written consent is prohibited.Page 1 of 4Graded AssignmentMTH203B/204B: Geometry | Unit 7 | Lesson 4: Semester Test(16 points)2.Study the diagram below:Scorea.)If D is a right angle and lines PN, FG, and BD are parallel to each other, proveSPN SFG SBD .b.)Use the diagram to solve this practical problem:A person who is 1.5 m tall casts a shadow of 8 m. The distance along the ground from the person (N)to the flagpole (G) is 32 m, and the distance from the flagpole (G) to the building (D) is 200 m. Findthe height of the flagpole (FG) and the height of the building (BD), showing all calculations.Answer:? 2010 K12 Inc. All rights reserved.Copying or distributing without K12?s written consent is prohibited.Page 2 of 4Graded AssignmentMTH203B/204B: Geometry | Unit 7 | Lesson 4: Semester Test(12 points)3.Given rectangles ABCD and PQRS, and given that rectangle ABCD is fully rotated aboutline BC, answer the following questions.a.)ScoreDescribe the figure generated by the rectangle rotating about line BC.b.)About which line could you rotate rectangle PQRS to generate a figure that is similar to the firstsolid?c.)What are the ratios of the surface areas and volumes of the solids generated from ABCD andPQRS?d.)Are ABCD and PQRS golden rectangles? Why or why not?Answer:? 2010 K12 Inc. All rights reserved.Copying or distributing without K12?s written consent is prohibited.Page 3 of 4Graded AssignmentMTH203B/204B: Geometry | Unit 7 | Lesson 4: Semester Test(23 points)4.The diameter of circle C is 18 cm. Chord AD is the same length as a radius. Use thisinformation, the diagram, and your experiences in geometry this semester to answer thesequestions. (Use 3.14 .)a.)AScoreWhat are the measures of angles BDAand DBA?b.)DWhat is the sine of angle DBA?c.)Find the length of arc AB to the nearesthundredth.Cd.)BFEHow does the length of arc ADcompare to the length of arc AB?e.)If EF =1BD, then what is the degree2measure of arc EF?Answer:Your Score? 2010 K12 Inc. All rights reserved.Copying or distributing without K12?s written consent is prohibited.___ of 60Page 4 of 4

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