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SpyIntel [72]
2 years ago
10

Since m∠E=90∘, △DEF is a right triangle and the Pythagorean theorem applies. Write an equation representing the relationship bet

ween the sides of △DEF. Use D⁢E, D⁢F, and E⁢F to represent the lengths of the sides.
Mathematics
2 answers:
Troyanec [42]2 years ago
7 0

Step-by-step explanation:

Since ∠E is right angle, its opposite side is DF and the legs are DE and EF.

<u>Pythagorean applied:</u>

  • DF^2 = DE^2+EF^2
loris [4]2 years ago
7 0

As per we know according to Pythagorean theorem

  • H^2=P^2+B^2

Here

  • H=DF
  • P=DE
  • B=EF

\\ \tt\hookrightarrow DF^2=DE^2+EF^2

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Please help! which of the following is closest to the mean of the data set shown?
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The volume of a cube is 512 cm on the side length of the cube and drag the correct length to the empty box
ddd [48]

Answer:

a = 8 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Geometry</u>

Volume of a Cube Formula: V = a³

  • <em>a</em> is a side length

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>V</em> = 512 cm³

<u>Step 2: Find </u><em><u>a</u></em>

  1. Substitute in variables [Volume of a Cube Formula]:                                    512 cm³ = a³
  2. [Equality Property] Cube root both sides:                                                      8 cm = a
  3. Rewrite:                                                                                                             a = 8 cm
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3 years ago
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