Respuesta :

Space

Answer:

x = 6√7

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 solve the missing length.

Step 2: Identify Variables

Leg a = √27

Leg b = 15

Hypotenuse c = x

Step 3: Solve for x

  1. Substitute [PT]:                    (√27)² + 15² = x²
  2. Exponents:                          27 + 225 = x²
  3. Add:                                     252 = x²
  4. Isolate x:                              6√7 = x
  5. Rewrite:                               x = 6√7

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