base of an isosceles triangles are produced both ways‚ show that the exterior angles so formed are equal. 5. In the figure‚ AD= AE‚ BD= CE and ∠AEC=∠ADB. Prove that AB = AC. 6. In the figure‚ ΔABC and ΔDBC are both isosceles triangles. Prove that‚ ΔABD = ACD. 7. Show that the medians drawn from the extremities of the base of an isosceles triangle to the opposite sides are equal to one another. 8. Prove that the angles of an equilateral triangle are equal to one another. 10.2 1. In the ΔABC
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washers are on the protractor and mark down on a piece of paper would angle it was at. These steps were repeated until three sub trials were conducted. A new trial would be conducted‚ adding 25 milliliters and would follow steps 1-8. Until three trials were conducted with 9 sub trials in total. Once all the trials were completed‚ I subracted the observed angles from 90 degrees. After that was done I found the tangents of all the new angles and multiplied them by the distance‚ 5.969 meters. The solutions
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In the Gerome work‚ the use lines in a vertical angle on the head gear flow onto the soldier’s jacket. Whereas Cranach’s use of edge line on the soldier’s headgear is more in a horizontal angle blending into the background horizon. Cranach use of white paint in a circular motion on top of the soldier’s headgear mimics clouds which blend into the blue sky background.
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Computer Workstation Ergonomics INF 103: Computer Literacy Winter 2009 Computer Workstation Ergonomics As we spend increasing amounts of time at our computer workstation‚ we need to be aware of how the design and arrangement of our equipment can impact our comfort‚ health‚ and productivity. WORK AREA The work area should be large enough to accommodate you‚ allow the full range of motions involved in performing required tasks‚ and provide room for the equipment and materials that make
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vibration direction angle is 45°‚ under this circumstance the performance parameters of sieve machines are justice configuration‚ the machine will have high operation speed‚ high capacity and high screening efficiency. However the linear vibrating screen can also be placed on an angle‚ usually 5°or 10°according to the requirements of individual process and the special needs. Linear vibrating screen is mainly used for fine material grading and dehydration deliming. So the too large angle may result in poor
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remaining cardboard sheet?. 1. 32 - 8 π 2. 32 - 4 π 3. 32 - π 4. 32 - 2 π 8. In which of the following cases a triangle ABC‚ with base BC given‚ can be constructed? 1. ∠ B 2. ∠ B 3. ∠ B and ∠ C and ∠ C and ∠ C acute angles right angles obtuse angles 4. ∠ B obtuse and ∠ C right angles 9. In the figure A F‚ BG‚ C H‚ D I‚ E J are straight lines. What is the sum of ∠ A‚ ∠ B‚ ∠ C‚……..∠ J 1. 6000 2. 7200 3. 9000 4. 3600 22 Solution/Rationale for Mathematics Questions Q. No. Answer
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65 Comparing Fractions 66 Order of Operations 67-68 Percentage 69-70 On Geometry Classifying Angles 71 Naming Angles and Vertices 72 Naming Relationships of Angles 73 Finding Measures of Angles 74 Angle Measure 75 Drawing Angles 76 Points in an Angle 77 Find the missing angle measurement using the angle addition postulate 78 Find the
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on her computer. (a) She wants to draw this triangle. She needs to know angles a‚ b and c. a 8.1 80º 40º b 6 9.2 NOT TO SCALE c Calculate angles a‚ b and c. a = .............................. º b = .............................. º (1) c = .............................. º (b) (1) (1) Sharon draws a rhombus: 10 d 50º 10 NOT TO SCALE e 10 10 Calculate angles d and e. d = .............................. º e = ...................
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which it has on the pendulums time to complete one whole swing (from where it starts‚ to the opposite end‚ and back again). This will give me an insight into what will effect the time of the swinging of the pendulum‚ be it weight‚ string length‚ the angle‚ or the swinging point. Planning my investigation I will set up my investigation by having a 30cm length of string. This will be cut six times as I am measuring six different lengths of string. These will include lengths of: 30‚ 25‚ 20‚ 15‚ 10
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Trigonometry Trigonometry uses the fact that ratios of pairs of sides of triangles are functions of the angles. The basis for mensuration of triangles is the right- angled triangle. The term trigonometry means literally the measurement of triangles. Trigonometry is a branch of mathematics that developed from simple measurements. A theorem is the most important result in all of elementary mathematics. It was the motivation for a wealth of advanced mathematics‚ such as Fermat’s Last Theorem
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