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Sveta_85 [38]
3 years ago
8

A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the nearest tenth.

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
8 0
<span><u>Answer </u>
A) 〖128.6〗^o

<u>Explanation </u>
The question requires us to find the interior angle of a regular heptagon.
To do this first calculate the exterior angle of that polygon.
The sum of exterior angles is 360o. A heptagon has 7 sides.
So, one exterior angle = 〖360〗^o/7=〖51.4〗^o
interior angle+exterior angle=〖180〗^o
exterior=180-51.4=〖128.6〗^o
</span>
weeeeeb [17]3 years ago
4 0

Answer: Measure of each angle on the sign is 128.6° .

Step-by-step explanation:

Since we have given that

A road sign is in the shape of a regular heptagon.

As we know that "Sum of exterior angles is always 360°":

And there is 7 sides in a regular heptagon.

So, Measure of each exterior angle is given by

\frac{360^\circ}{7}\\\\=51.42^\circ

so, we know that "Sum of exterior angle and interior angle is supplementary."

Interior\ Angle+Exterior\ Angle=180^\circ\\\\Interior\ Angle+51.42^\circ=180^\circ\\\\Interior\ Angle=180^\circ-51.42^\circ\\\\Interior\ Angle=128.58^\circ=128.6^\circ

Hence, Measure of each angle on the sign is 128.6° .

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skelet666 [1.2K]

Answer:

This is true.

Step-by-step explanation:

Step 1: see that √27 is the same as √3*3*3 and thus 3√3

Step 2: remove parenthesis so that 2(1-3√3) becomes 2 - 6√3

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Comment if there is any step that requires more details...

3 0
3 years ago
Read 2 more answers
If we wish to obtain a​ 95% confidence interval of a parameter using the bootstrap​ method, we determine the​ _______ percentile
BigorU [14]

Answer:

2.5th percentile and the 97.5th percentile.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

So we obtain the 0.025*100 = 2.5th percentile and the (1-0.025)*100 = 97.5th percentile.

So the answer is:

2.5th percentile and the 97.5th percentile.

8 0
2 years ago
HELPPPPPPP PLEASEEEE
PSYCHO15rus [73]
The answer is 8.778 cm

5 0
3 years ago
Juan has x apples and 8 oranges. How many fruits does he have? Give your answer in terms of x
zubka84 [21]
X apples and 8 oranges = x+8

The answer is x+8.

Hope this helped☺☺
3 0
3 years ago
How do we solve this?<br> (No need to find x)
Genrish500 [490]

Answer:

Hi,

Step-by-step explanation:

We can't solve that but reduce it to the same denominator.

\dfrac{x+5}{x}+\dfrac{x+8}{x-1}\\\\=\dfrac{(x+5)(x-1)+x(x+8)}{x(x-1)}\\\\=\dfrac{x^2+5x-x-5+x^2+8x}{x(x-1)}\\\\=\dfrac{2x^2+12x-5}{x(x-1)}\\

5 0
2 years ago
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