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Nikitich [7]
3 years ago
5

In the diagram below, m_MON = 1249, m _ MOP = 2x + 1, and m2 NOP = 2x

Mathematics
1 answer:
miv72 [106K]3 years ago
5 0

Answer:

The answer is below

Step-by-step explanation:

The Angle Addition Postulate states that the measure of an angle formed by two or more angles which are placed side by side is the sum of the measures of the two angles.

Therefore:

∠MON = ∠MOP + ∠NOP (angle addition postulate)

Substituting values gives:

124 = (2x + 1) + (2x + 1)

124 = 2x + 2x + 1 + 1

124 = 4x + 2

subtracting 2 from both sides of the equation:

124 - 2 = 4x + 2 - 2

4x = 122

Dividing through by 4:

4x / 4 = 122 / 4

x = 30.5

Therefore ∠MOP = 2x + 1 = 2(30.5) + 1 = 62°, ∠NOP = 2x + 1 = 2(30.5) + 1 = 62°

∠MOP = 62°, ∠NOP = 62°

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Answer:

We can conclude that on this case we have identical processes but excersise 17 use another way to present the probability distribution and as we can see the expected value can be viewed as a dot product of two vectors with one vector containing the outcomes and the other the probabilities for each possible outcome.

Step-by-step explanation:

Assuming this previous info:

Exercise 17. Suppose that we convert the table on the previous page displaying the discrete distribution for the number of heads  occurring when two coins are flipped to two vectors.

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3 years ago
Use two unit multipliers to convert 135 square miles to square feet
Inessa [10]

You only need one of them:

               (135 mile²)  x  (5,280 feet/mile)²

           =  (135 mile²)  x  (27,878,400 feet²/mile²)

           =      (135  x  27,878,400)  mile² - feet² / mile²

           =          3,763,584,000  feet²
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3 years ago
what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17
kodGreya [7K]

Answer:

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2 years ago
An elephant at the zoo maintains her weight by eating 2.5% of her body weight in food each day. If she maintains a constant weig
Lelu [443]

Answer:

  2100

Step-by-step explanation:

Multiply the rate by the time and the weight to find the amount per week.

  (2.5%/day)(6 tons)(2000 lb/ton)(7 days/week) = 2100 lb/week

7 0
3 years ago
Find the third side in simplest radical form:
larisa [96]

Answer:

x = √53

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

<u>Trigonometry</u>

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use PT to solve for the missing length.

<u>Step 2: Identify Variables</u>

Leg <em>a</em> = 6

Leg <em>b</em> = <em>x</em>

Hypotenuse <em>c</em> = √89

<u>Step 3: Solve for </u><em><u>x</u></em>

  1. Set up equation:                    6² + x² = (√89)²
  2. Isolate <em>x</em> term:                        x² = (√89)² - 6²
  3. Exponents:                             x² = 89 - 36
  4. Subtract:                                 x² = 53
  5. Isolate <em>x</em>:                                 x = √53
5 0
3 years ago
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