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11111nata11111 [884]
3 years ago
14

Simplify completely****​

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

\displaystyle \frac{x + 7}{3}

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Factoring

Step-by-step explanation:

<u>Step 1: Define</u>

<u />\displaystyle \frac{x^2 + 12x + 35}{3x + 15}<u />

<u />

<u>Step 2: Simplify</u>

  1. [Fraction] Factor numerator:                                                                          \displaystyle \frac{(x + 5)(x + 7)}{3x + 15}
  2. [Fraction] Factor denominator:                                                                       \displaystyle \frac{(x + 5)(x + 7)}{3(x + 5)}
  3. [Fraction] Divide:                                                                                             \displaystyle \frac{x + 7}{3}
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Answer:

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Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

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The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

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∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

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An equation has the following parts:
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4x - 3x + 8x ⇒ like terms ; they have identical variable parts, x.
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