QUESTION IMAGE
Question
s
3x - 13
r
2x
t
Response
- 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 \(x−13 = 0\).
- \(x=13\).
- Answer:
- \(x = 13\)
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- 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 \(x−13 = 0\).
- \(x=13\).
- Answer:
- \(x = 13\)