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Bad White [126]
3 years ago
11

The sum of all but one interior angle of a heptagon is 776°. The final angle must have a measure of

Mathematics
2 answers:
Irina18 [472]3 years ago
7 0

Answer:

The final angle must have a measure of  124 degrees.

Step-by-step explanation:

Heptagon is polygon with seven sides.

Sum of angles of heptagon = 900°

Given:Sum of all angles and one interior angle of a heptagon is 776°.

Let the measure of interior angle be x

776° + ∠x = 900°

∠x = 900° - 776° = 124°

The final angle must have a measure of  124 degrees.

shutvik [7]3 years ago
5 0
A heptagon has 7 sides.

Sum of all interior angles = (7 - 2) x 180 = 900°

900 - 776 = 124°

Answer: The final angle must be 124°
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If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?
zalisa [80]

Answer:

B. angle 5

Step-by-step explanation:

7 0
2 years ago
A small town has 2000 families. The average number of children per family is mu = 2.5, with a standard deviation sigma = 1.7. A
Nikitich [7]

Answer:

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

Let X the random variable that represent the number of children per fammili of a population, and for this case we know the following info:

Where \mu=2.5 and \sigma=1.7

We select a sample of n =64 >30 and we can apply the central limit theorem. From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And for this case the standard error would be:

\sigma_{\bar X} = \frac{1.7}{\sqrt{64}}= 0.2125

6 0
3 years ago
What is the slope of 2x+3y=15
Fynjy0 [20]

Note that the slope-intercept form is: y = mx + b

First, set the equation as such

2x (-2x) + 3y = (- 2x) + 15

3y = -2x + 15

Isolate the y. Divide 3 from both sides

(3y)/3 = (-2x + 15)/3

y = (-2/3)x + 5

-2/3 is your slope

hope this helps

5 0
3 years ago
Im not so sure about this. I need help making a proof that is 9 steps long. (See image)
Leona [35]

Step-by-step explanation:

Not entirely sure, but I believe something like this:

∠1 + ∠2 = 180° since they are a linear pair;

Since ∠1  = ∠2, we can say:

∠1 + ∠1 = 180°

2(∠1) = 180°

∠1 = 90°

And since:

∠1 = ∠2

∠2 = 90°

So the angle between t and s is 90°;

An angle of 90° means t and s are perpendicular (⊥)

8 0
2 years ago
PLEASE HELP!!! WILL GIVE BRAINLIEST AWARD FOR BEST EXPLAINED! PLEASE HELP
Arada [10]

Answer:

[1]

Given: (5x^3 + 3x^2 - 7x + 10) - (3x^3 - x^2 + 4x - 1)

Remove the parenthesis, we get;

(5x^3 + 3x^2 - 7x + 10) - (3x^3-x^2+ 4x -1)

5x^3 + 3x^2 - 7x + 10- 3x^3 + x^2- 4x + 1

Like terms are the those terms with same variable and powers.

Combine like terms;

2x^3 + 4x^2 - 11x + 11

To write this polynomial in standard form, you write starting with the term with the highest degree, or exponent(i.e x^3), and then in decreasing order .

Standard form: 2x^3 + 4x^2 - 11x + 11

To, classify a polynomial by degree, you just look at the highest exponent, or degree.

Since, 3 is the highest degree (x^3), it is a cubic.

Now, classify a polynomial by the number of terms, count how many terms are in the polynomial( 2x^3 + 4x^2 - 11x + 11)

Number of terms: 4 (so this is polynomial)

[2]

Similarly,

for  (9w - 4w^2 + 10) + (8w^2 + 7 + 5w)

Remove the parenthesis, we get;

9w - 4w^2 + 10+ 8w^2 + 7 + 5w

Combine like terms; we have

14w + 4w^2 + 17

Standard form: 4w^2 + 14w + 17

Degree of the polynomial is, 2

Number of terms: 3 ( so, this is trinomial)



8 0
3 years ago
Read 2 more answers
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