Respuesta :

Space

Answer:

x ≈ 11.5

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Geometry

  • Pythagorean Theorem (Right triangles only): a² + b² = c²

Step-by-step explanation:

Step 1: Define

leg a = x

leg b = 6

hypotenuse c = 13

Step 2: Solve for x

  1. Substitute:                    x² + 6² = 13²
  2. Exponents:                   x² + 36 = 169
  3. Isolate x term:              x² = 133
  4. Isolate x:                       x = √133
  5. Evaluate:                      x = 11.5326
  6. Round:                          x ≈ 11.5
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