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QUESTION IMAGE

s 3x - 13 r 2x t

Question

s
3x - 13
r
2x
t

Explanation:

Response
  1. Explanation:
  • Assume that in the triangle, the two - equal angles imply that the sides opposite to them are equal. If the angles at the base of the triangle (the angles adjacent to the non - equal sides) are equal, then the triangle is isosceles and the two non - base sides are equal. So, we set up the equation based on the equality of the two sides of the isosceles triangle.
  • We set \(3x−13 = 2x\) (since the sides opposite the equal angles are equal).
  • Step 1: Isolate the variable \(x\) terms on one side
  • Subtract \(2x\) from both sides of the equation \(3x−13 = 2x\).
  • \(3x−2x−13=2x - 2x\).
  • \(x−13 = 0\).
  • Step 2: Solve for \(x\)
  • Add 13 to both sides of the equation \(x−13 = 0\).
  • \(x=13\).
  1. Answer:
  • \(x = 13\)

Answer:

  1. Explanation:
  • Assume that in the triangle, the two - equal angles imply that the sides opposite to them are equal. If the angles at the base of the triangle (the angles adjacent to the non - equal sides) are equal, then the triangle is isosceles and the two non - base sides are equal. So, we set up the equation based on the equality of the two sides of the isosceles triangle.
  • We set \(3x−13 = 2x\) (since the sides opposite the equal angles are equal).
  • Step 1: Isolate the variable \(x\) terms on one side
  • Subtract \(2x\) from both sides of the equation \(3x−13 = 2x\).
  • \(3x−2x−13=2x - 2x\).
  • \(x−13 = 0\).
  • Step 2: Solve for \(x\)
  • Add 13 to both sides of the equation \(x−13 = 0\).
  • \(x=13\).
  1. Answer:
  • \(x = 13\)