[Classical Geometries] How do you solve this question? Thank you 16.1 If II is the plane over an ordered field F, show that (C3), congruence of added linesegments, holds. Do not assume that F is Pythagorean. DefinitionAn ordered field is a field F, together with a subset P, whose elements are calledpositive, satisfying:(i) If a, b e P, then a + b e P and ab € P.(ii) For any a € F, one and only one of the following holds: a e P; a = 0; −a = P.Here are a few elementary properties of an ordered field.Proposition 15.1Let F, P be an ordered field. Then:(a) 1 € P, i.e., 1 is a positive element.(b) F has characteristic 0.(c) The smallest subfield of F containing 1 is isomorphic to the rational numbers Q.(d) For any a #0 € F, a² € P.

Given: Π is the plane over an ordered field F.

Answered: If II is the plane over an ordered…

Advanced Engineering Mathematics

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Geometry CC Fall 2022 Performance Exam must complete ALL parts to receive full credit. Unit 3: Right Triangles Jeffrey is determining the height of a building. He takes advantage of a nearby fire hydrant and the shadows that are cast on the ground. 2h f 3g. Shadow Building 25 ft- 26 = xx Name: Date: 26 in. 17 25 Scoring Rubric Content Fire Hydrant Reasoning/Problem Solving Communication Shadow K-17 in.- Period: The fire hydrant is 26 inches tall, and the shadow cast by it is 17 inches long. The shadow cast by the building is 25 feet long, as shown above. Part A Determine the height of the building, h. Round your answer to the nearest foot. Show your work and explain how you found your answer. 660 Total Points Points 123456 1 2 3 4 5 6 123456 17x = 650 KA X= 38.2 Part B. What is the value of z, the measure of the angle of elevation to the Sun? Round your answer to the nearest e degree. Show your work and explain your answer. tan 2= 56.3 tanz 38.2 25 = 56.8 26 17
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Project: Thales and determining the height of an Egyptian Pyramid Published Edit ⠀ The Greek Mathematician, Thales of Miletus (c. 548/545 BCE) was said to have determined the height of the pyramids of Egypt using just geometry. Tests your skills to see if you can do the same. Below is a of an upright obelisk 20 meters in height, whose shadow as cast by the sun extends 27 meters to the left. The pyramid also casts a shadow that extends 198.45 meters to the left from the center of the pyramid. 27 meters 20 meters 198.45 meters X Answer the following questions by uploading an PDF document, or turn your work in on class on the date due (late class- room submissions are not allowed). (A) What method or relationship between geometric figures might Thales have used to determine the height of the pyramid? (B) What is the height of the pyramid according to the figure above? (include the correct unit of measurement in your answer)
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Illuminate ← → × 0 | Geometry - Circle Assessment Question 2 Tools - Question 2 Use the diagram to solve for x. O ©2024 +45 A B C D 55° 90 1 0 P+ 45 Illuminate Education TM, Inc. Pause Q Zoom 145°
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If II is the plane over an ordered field F, show that (C3), congruence of added line segments, holds. Do not assume that F is Pythagorean.