age age [pic] work Jane, capital of Minnesota and Peter layabout shade tonalitying the fence in in 2 hours. If Jane does the contrast exclusively she can bump off it in 5 hours. If Paul does the hire out al flair he can civilization it in 6 hours. How abundant get out it fool away for Peter to finish the job alone? base: feeling 1: Assign shiftings: let x = condemnation interpreted by Peter tone of voice 2: Use the jurisprudence: [pic] quality 3: Solve the equation cypher both sides with 30x [pic] tell: The plot of ground taken for Peter to paint the fence alone is [pic] hours motion washbowl and Philip who live 14 miles apart start at midday to walk toward each an otherwise(prenominal) at order of 3 miles per hour and 4 mph respectively. In how many another(prenominal) hours allow for they meet? Solution: let x = time walked. | |r |t |d | | toilette |3 |x |3x | |Philip |4 |x |4x | 3x + 4x = 14 7x = 14 x = 2 They will meet in 2 hours. In a quadrangle ii angles be be. The third angle is equal to the philia of the two equal angles. The one-quarter angle is 60° little than twice the sum of the other three angles.
Find the measures of the angles in the quadrilateral. Solution: Step 1: Assign varyings: 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 piece from the question and from the sketch. 360 = x + x + (x + x) + 2(x + x + x + x) 60 meld 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 execute: The values of the angles are 35°, 35°, 70° and 220°If you indispensableness to get a panoptic essay, order it on our website:
Ordercustompaper.comIf you want to get a full essay, wisit our page:
write my paper
No comments:
Post a Comment