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gizmo_the_mogwai [7]
3 years ago
6

Find the measure of the arc indicated. Assume that lines which appear tangent are tangent.

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

Minor Arc AC = 360 - 235 = 125°

mABC = \frac{Major \ arc - Minor \ arc}{2} = \frac{235 - 125}{2} = \frac{110}{2}  = 55

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3 years ago
Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression
Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

1 row has x slots

3 rows has y slots

on cross multiplication we get y = 3x

ie there are a total of 3x slots in the 3 rows

Given that out of these 3x slots 5 . of the slots are broken

Therefore the total number of working slots = total number of slots - number of slots which are broken

total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

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8 0
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Simora [160]
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3 years ago
x^2-8x+15=0 solve the equation by completing the square. Round your solutions to the nearest hundredth, if necessary.
zaharov [31]

Answer:

x = 3, 5

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
  • Subtract Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients/Degrees
  • Standard Form: ax² + bx + c = 0
  • Multiple Roots
  • Factoring
  • Completing the Square: -b/(2a)

Step-by-step explanation:

<u>Step 1: Define</u>

x² - 8x + 15 = 0

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 15 on both sides:                     x² - 8x = -15
  2. Complete the Square [Addition Property of Equality]:                                 x² - 8x + 16 = -15 + 16
  3. [Complete the Square] Simplify:                                                                   (x - 4)² = 1
  4. [Equality Property] Square root both sides:                                                  x - 4 = ±1
  5. [Addition Property of Equality] Add 4 on both sides:                                   x = 4 ± 1
  6. Evaluate:                                                                                                          x = 3, 5
7 0
3 years ago
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