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seraphim [82]
3 years ago
5

in a certain pentagon, the interior angles are a,b,c,d,e where a,b,c,d,e are integers strictly less than 180. ("Strictly less th

an 180" means they are "less than and not equal to" 180.) If the median of the interior angles is 61 and there is only one mode, then what are the degree measures of all five angles?
Mathematics
2 answers:
agasfer [191]3 years ago
6 0

Answer:

61,61,61,178,179

Step-by-step explanation:

your welcome. :)

guajiro [1.7K]3 years ago
3 0

Answer:

  least to greatest: {61, 61, 61, 178, 179}

Step-by-step explanation:

If the third-largest angle is 61°, the smallest three angles cannot be larger than 183°. Since the total of all angles must be 540°, and the total of the largest two cannot be greater than 179°×2 = 358°, the sum of the smallest three must be at least 540° -358° = 182°.

So, the possible sets of angles with the smallest 3 totaling 182° or 183° are (in degrees) ...

  {60, 61, 61, 179, 179} . . . . two modes

  (61, 61, 61, 178, 179} . . . . . one mode -- the set you're looking for

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Step-by-step explanation:

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3 years ago
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8 0
2 years ago
Determine whether the series is convergent or divergent. [infinity] n = 1 1 n√9 the series is a ---select--- p-series with p =
inna [77]

The series is a convergent p-series with p = 3

<h3>How to know it is a divergent or a convergent series</h3>

We would know that a series is a convergent p series when we have ∑ 1 np. Then you have to be able to tell if the series is a divergent p series or it is a convergent p series.

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The value of \sqrt{9}= 3

The formular for this is

∑\frac{1}{n^p} \\

where n = 1

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Read more on convergent series here:

brainly.com/question/337693

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6 0
1 year ago
A rectangle is 3.5 cm long and 5 cm wide. A similar rectangle is 4.9 cm long. Find the width of the similar rectangle.
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Answer:

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Step-by-step explanation:

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3 years ago
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We want to find the zeros of this polynomial:<br> p(x) = (x+2) (2x^2 + 3x-9)
lorasvet [3.4K]

Answer:

x = - 2, x = - 3, x = \frac{3}{2}

Step-by-step explanation:

to find the zeros equate p(x) to zero , then

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2 years ago
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