Respuesta :

Space

Answer:

x = √47

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 have a right triangle. We can use PT to solve for the missing side length.

Step 2: Identify Variables

Leg a = 5

Leg b = x

Hypotenuse c = √72

Step 3: Solve for x

  1. Substitute [PT]:                    5² + x² = (√72)²
  2. Exponents:                           25 + x² = 72
  3. Isolate x term:                      x² = 47
  4. Isolate x:                               x = √47