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31-07-2017
Mathematics

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STVU is an isosceles trapezoid. If SV= 3x - 11 and TU = x + 13, find the value of x.

STVU is an isosceles trapezoid If SV 3x 11 and TU x 13 find the value of x class=

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mathmate mathmate

31-07-2017

In an isosceles trapezoid, the two diagonals are congruent.
Therefore SV=TU, or 3x-11=x+13
Solve for x in
3x-11=x+13
subtract x-11 from either side to isolate x,
3x-x=13+11
2x=24
x=12

Check: SV=3(12)-11=25 = (12)+13 = TU, ok.

Answer: x=12

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