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Answer:

x = 32 yd

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

Trigonometry

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

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

Step 1: Identify Variables

Leg a = x

Leg b = 24

Hypotenuse c = 40

Step 2: Solve for x

  1. Substitute in variables [Pythagorean Theorem]:                                          x² + 24² = 40²
  2. [Subtraction Property of Equality] Isolate x term:                                        x² = 40² - 24²
  3. Evaluate exponents:                                                                                      x² = 1600 - 576
  4. Subtract:                                                                                                          x² = 1024
  5. [Equality Property] Isolate x:                                                                          x = 32
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