Respuesta :

grayflames42

Answer:

x=34

Step-by-step explanation:

a^2 + b^2 = c^2

16^2 + 30^2 = c^2

256 + 900 = c^2

1156 = c^2

sqrt1156 = c

34 = c

34 = x

Checked work with a calculator. Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, be safe and wash your hands. Happy Holidays.

Space

Answer:

x = 34

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

Geometry

  • [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 side.

Step 2: Identify Variables

Leg a = 30

Leg b = 16

Hypotenuse c = x

Step 3: Solve for x

  1. Substitute [PT]:                     30² + 16² = x²
  2. Exponents:                            900 + 256 = x²
  3. Add:                                      1156 = x²
  4. Isolate x:                               34 = x
  5. Rewrite:                                x = 34

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