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alex41 [277]
2 years ago
12

Solve for x. x = [?] 5x - 7/3x + 27 ..​

Mathematics
1 answer:
ArbitrLikvidat [17]2 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

the angles shown are supplementary

supplementary angles add up to 180°

hence, 5x - 7 + 3x + 27 = 180

==> combine like terms

8x + 20 = 180

==> subtract 20 from both sides

8x = 160

==> divide both sides by 8

x = 20

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1, 1, 2, 4, 7, 8, 10, 15, 20

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What is the common difference in the sequence 5, 10, 15, 20, 25,...?
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284

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3 years ago
What is the volume of the cone below? ):
svetoff [14.1K]

Answer:

A. 112π units³

General Formulas and Concepts:

<u>Symbols</u>

  • π (pi) ≈ 3.14

<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>Geometry</u>

Volume of a Cone Formula: \displaystyle V = \frac{1}{3} \pi r^2h

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

Radius <em>r</em> = 4

Height <em>h</em> = 21

<u>Step 2: Find Volume</u>

  1. Substitute in variables [Volume of a Cone Formula]:                                      \displaystyle V = \frac{1}{3} \pi (4)^2(21)
  2. Evaluate exponents:                                                                                         \displaystyle V = \frac{1}{3} \pi (16)(21)
  3. Multiply:                                                                                                             \displaystyle V = \frac{16 \pi}{3}(21)
  4. Multiply:                                                                                                             \displaystyle V = 16 \pi \cdot 7
  5. Multiply:                                                                                                             \displaystyle V = 112 \pi
8 0
3 years ago
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