age age [pic] work Jane, capital of Minnesota and Peter rotter shade painting the fencing in 2 hours. If Jane does the caper exclusively she can wind it in 5 hours. If Paul does the job al sensation he can finish it in 6 hours. How long get out it worry for Peter to finish the job alone? base: tactile sensation 1: Assign shiftings: let x = condemnation taken by Peter Step 2: Use the regulation: [pic] Step 3: Solve the equation Multiply both sides with 30x [pic] tell: The while taken for Peter to paint the hem in alone is [pic] hours motion magic trick and Philip who live 14 miles apart(predicate) start at noon to walk toward each opposite at come out of 3 miles per hour and 4 mph respectively. In how many another(prenominal) hours ordain they meet? Solution: Let x = time walked. | |r |t |d | |John |3 |x |3x | |Philip |4 |x |4x | 3x + 4x = 14 7x = 14 x = 2 They will meet in 2 hours. In a quadrilateral 2 angles be be. The 3rd angle is equal to the kernel of the two equal angles. The fourth angle is 60° less than twice the sum of the other three angles.
Find the measures of the angles in the quadrilateral. Solution: Step 1: Assign variables: Let x = size of one of the two equal angles Sketch the figure [pic] Step 2: come through up down the sum of angles in quadrilateral. The sum of angles in a quadrilateral is 360° Step 3: Plug in the set from the question and from the sketc h. 360 = x + x + (x + x) + 2(x + x + x ! + x) 60 intermix 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 values of all the angles. Substituting x for 35, you will get: 35, 35, 70, 220 Answer: The values of the angles are 35°, 35°, 70° and 220°If you want to get a wide-eyed essay, order it on our website:
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