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Andrews [41]
3 years ago
5

If the polygon shown below is a regular nonagon what is the value of x?

Mathematics
1 answer:
jeyben [28]3 years ago
3 0
The sum of the measures of the angles of a polygon is given by (<em>n</em> - 2)(180), where <em>n</em> is the number of sides.  In this case we would have (9-2)(180)=7(180)=1260.  This is the <u>sum</u> of the angles.  Since it is a regular nonagon, that means that all sides are congruent and all angles are congruent.  Therefore we find the measure of each individual angle by dividing the sum, 1260, by the number of sides, 9.  1260/9=140.  <em>x</em> forms a linear pair with one of the interior angles; that means that the interior angle, 140, added to <em>x</em> would give us 180.  Therefore we find <em>x</em> by subtracting 180-140. <em>x</em> = 40.
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Slav-nsk [51]

Answer:

C. 94.2 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

<u>Geometry</u>

  • Circumference: C = 2πr

Step-by-step explanation:

<u>Step 1: Define</u>

r = 15 cm

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

  1. Substitute [C]:                       C = 2π(15 cm)
  2. Multiply:                                 C = 30π cm
  3. Multiply:                                 C = 94.2 cm
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2 years ago
On monday 2/3 of the team practiced, Tuesday 7/8, wendsday 1/2 and Thursday 3/4 which is the most
dimulka [17.4K]
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6 0
3 years ago
Read 2 more answers
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NemiM [27]
51. I checked the comments but I still didn't understand it, sorry :/

54.

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3 years ago
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Kisachek [45]

Answer:

17.3

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7 0
2 years ago
Use the real zeros to factor f x^4 plus 10^3 minus 20x^2 minus 90x plus 99
Furkat [3]

Answer:

f(x) = (x + 11) (x + 3) (x − 1) (x − 3)

Step-by-step explanation:

f(x) = x⁴ + 10x³ − 20x² − 90x + 99

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By trial and error, the zeros are -11, -3, 1, and 3.

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