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ivanzaharov [21]
3 years ago
6

Given a regular hexagon, what are the measures of the angles formed by (a) two consecutive radii and (b) a radius and a side of

the polygon?

Mathematics
1 answer:
UkoKoshka [18]3 years ago
6 0

Answer:

a)  60°

b)  60°

Step-by-step explanation:

A regular hexagon can be broken down into 6 equilateral triangles.

*** Note: Attached picture shown.

a)

The angle between two consecutive radii would be taken as EO and OD.

Since all of these 6 angles (of 6 triangles) create a circle, the sum is 360. So each angle (between two radii) would be 360/6 = 60°

b)

To find angle between side and radius of a polygon, let's take the radii as EO and side as ED.

Since we already found the angle between 2 radii to be 60, we have two angle left of a triangle (same size, let's call it x). We know sum of 3 angles in a triangle is 180, thus we can write:

60 + x + x = 180

60 + 2x = 180

2x = 180 - 60

2x = 120

x = 120/2

x = 60°

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Please help. <br><br><br> The best answer will get brainliest.
Margaret [11]

Answer:

Mean= 10

Step-by-step explanation:

Mean= Total value of data/Number of datas given

         =3+2+26+9/4

         =40/4

         =10

Mean= 10

6 0
3 years ago
84/12 = 28/x 1. x=4 2. X=28
yan [13]

Answer:

x = 4

Step-by-step explanation:

We can use cross products to solve

84/12 = 28/x

84 * x = 12 *28

Divide each side by 84

84x/84 = 12*28/84

x =4

5 0
3 years ago
Which equation has infinitely many solutions? A) 4x + 3 3 = 4x + 5 B) 10x + 8 2 = 5x + 4 C) 8x − 5 3 = 2x − 2 D) 8x − 5 2 = 4x −
abruzzese [7]

Answer: If the left side and the right side of the equation are equal, the equations has  infinitely many solutions.

Step-by-step explanation:

The options are not clear, so I will give  you a general explanation of the procedure you can use to solve this exercise.

The Slope-Intercept form of the equation of a line is the following:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

For this exercise you need to remember that, given a System of Linear equations, if they are exactly the same line, then the System  of equations has Infinitely many solutions.

If you  have the following system:

\left \{ {{y=2x+1} \atop {y=\frac{12}{6}x+1}} \right.

You can simplify the second one:

y=2x+1

Then, both equations are the same line.

By definition you can also write the systemf making both equations equal to each other:

2x+1=2x+1

So, if the left side and the right side are equal, the equations has  infinitely many solutions.

3 0
3 years ago
Which equation can be simplified to find the inverse of y = 5x2 + 10?
zmey [24]

f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

Step-by-step explanation:

interchanging the variables

x = 5y^2 + 10

5y^2 +10 = x

5y^2 = x - 10

dividing by 5

5y^2/5 = x/5 + -10/5

y^2 = x/5 + - 10/5

y^2 = x/5 - 2

y = 5 (x-10) 0/5 (sq.rt)

g(5x^2 + 10) = 5x/5

g(5x^2 + 10) = x

f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

5 0
2 years ago
Read 2 more answers
Identify the relative maximum value of g(x) for the function shown below g(x)=7/x^2+5
Liula [17]
To find t<span>he relative maximum value of the function we need to find where the function has its first derivative equal to 0.

Its first derivative is -7*(2x)/(x^2+5)^2
</span>7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0

g(0) = 7/5

The <span>relative maximum value is at the point (0, 7/5).</span>
8 0
2 years ago
Read 2 more answers
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