SOLUTION: An isoceles triangle has two side lengths of 9x+3. The perimeter of the triangle is 30x+10. a) Determine the ratio of the base to the perimeter, in simplified form. State the re

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: An isoceles triangle has two side lengths of 9x+3. The perimeter of the triangle is 30x+10. a) Determine the ratio of the base to the perimeter, in simplified form. State the re      Log On


   

Question 1051300: An isoceles triangle has two side lengths of 9x+3. The perimeter of the triangle is 30x+10.
a) Determine the ratio of the base to the perimeter, in simplified form. State the restriction.
Answer by stanbon(75887) About Me  (Show Source):
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An isoceles triangle has two side lengths of 9x+3. The perimeter of the triangle is 30x+10.
a) Determine the ratio of the base to the perimeter, in simplified form. State the restriction.
base = 30x+10 - 2(9x+3) = 30x-18x + 10-6 = 12x+4
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Ratio of base to perimeter = (12x+4)/(30x+10) = [4(3x+1)/(10(3x+1)] = 4/10 = 2/5
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Restriction:: 3x+1 cannot be zero ; x cannot be -1/3.
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Cheers,
Stan H.
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