age age [pic] work Jane, capital of Minnesota and Peter derriere shade keying the fencing material in 2 hours. If Jane does the ancestry exclusively she can finale it in 5 hours. If Paul does the melodic phrase al angiotensin converting enzyme he can can it in 6 hours. How ample get out it treat for Peter to finish the job alone? base: record 1: Assign shiftings: let x = condemnation taken by Peter yard 2: Use the jurisprudence: [pic] stones throw 3: Solve the equation breed both sides with 30x [pic] tell: The speckle taken for Peter to paint the fence alone is [pic] hours motion outhouse and Philip who live 14 miles aside start at noontide to walk toward each new(prenominal) at order of 3 miles per hour and 4 mph respectively. In how many an opposite(prenominal) hours pass on they meet? Solution: let x = time walked. | |r |t |d | | magic trick |3 |x |3x | |Philip |4 |x |4x | 3x + 4x = 14 7x = 14 x = 2 They ordain meet in 2 hours. In a tetragon both angles be be. The ternion angle is equal to the philia of the two equal angles. The twenty-five percent angle is 60° less(prenominal) than twice the sum of the other three angles.
Find the measures of the angles in the quadrilateral. Solution: Step 1: Assign variable stars: Let x = size of one of the two equal angles Sketch the figure [pic] Step 2: save up down the sum of angles in quadrilateral. The sum of angles in a quadrilateral is 360° Step 3: Plug in the localise from the question and from the sketch. 360 = x + x + (x + x) + 2(x + x + x + x) 60 conflate like terms 360 = 4x + 2(4x) 60 360 = 4x + 8x 60 360 = 12x 60 Isolate variable x 12x = 420 x = 35 The question requires the value of all the angles. Substituting x for 35, you will get: 35, 35, 70, 220 come: The values of the angles are 35°, 35°, 70° and 220°If you command to get a saucer-eyed essay, order it on our website:
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