Respuesta :

Space

Answer:

x ≈ 9.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Trigonometry

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to find the missing length.

Step 2: Identify Variables

Leg a = 9

Leg b = x

Hypotenuse c = 13

Step 3: Solve for x

  1. Substitute [PT]:                   9² + x² = 13²
  2. Isolate x term:                     x² = 13² - 9²
  3. Exponents:                          x² = 169 - 81
  4. Subtract:                              x² = 88
  5. Isolate x:                              x = 2√22
  6. Evaluate:                              x = 9.38083
  7. Round:                                 x ≈ 9.4

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