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What is the value of x 5,2.5,7.5,10

Jeremy Wood

in Mathematics

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Nicholas Rivera on April 24, 2018

This question refers to two similar triangles.A triangle has sides x and x - 2.The other triangle has the respective sides x + x + 5 and x - 2 + x + 1Then can establish a relationship of proportionality between the sides>[x + x + 5] / x = [x - 2 + x + 1] / [x - 2]=> [2x + 5] / x = [2x - 1] / [x - 2]=> (2x + 5)(x - 2) = (2x - 1)x=> 2x^2 - 4x + 5x - 10 = 2x^2 - x=> x - 10 = - x=> 2x = 10=> x = 10 / 2=> x = 5Answer: x = 5


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