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STU is an equilateral triangle. If ST is one less than twice x, SU is 37 less than five times x, and TU is 11 more than x, find x and the measure of each side.

Please help meSTU is an equilateral triangle If ST is one less than twice x SU is 37 less than five times x and TU is 11 more than x find x and the measure of e class=

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mhanifa

Answer:

  • x = 12
  • Side = 23 units

Step-by-step explanation:

STU is an equilateral triangle. And:

  • ST = 2x - 1
  • SU = 5x - 37
  • TU = x + 11

All sides are equal. Then take one pair and solve for x:

  • 2x - 1 = 5x - 37
  • 3x = 36
  • x = 12

Substitute x to find the side length:

  • 2x - 1 = 5x - 37 = x + 11 = 23

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