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exis [7]
4 years ago
14

The measure of an interior angle of a regular octagon is how many degrees greater than the measure of an interior angle of a reg

ular hexagon?
Mathematics
1 answer:
harina [27]4 years ago
3 0

Answer:

Step-by-step explanation:

Sum of interior angle of any polygon = 180* (n- 2 )

Here, n= number of sides

Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°

In regular octagon, all the angles are congruent,

So, measure of an interior angle of regular octagon = 1080/8 =  135°

Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°

In regular hexagon, all the angles are congruent,

So, measure of an interior angle of regular hexagon = 720/6 =  120°

The measure of an interior angle of a regular octagon is  greater than the measure of an interior angle of a regular hexagon by 15°

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Ber [7]
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76255) 309.00000
305.020
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5 0
3 years ago
Find the volume of the following
Nadusha1986 [10]

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution:

The volume of prism is:

V=Bh             ...(i)

Where, B is the base area and h is the height of the prism.

In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:

B=\dfrac{1}{2}\times base\times height

B=\dfrac{1}{2}\times 6\times 8

B=\dfrac{48}{2}

B=24

Substituting B=24,\ h=7 in (i), we get

V=24\times 7

V=168

Therefore, the volume of the prism is 168 cubic ft.

6 0
3 years ago
Zach is 15 in a half years old. this is 3 years younger than his brother hunter. how old is hunter?
dlinn [17]

Answer:

18 1/2 years old

Step-by-step explanation:

x-3= 15 1/2

x= 15 1/2 + 3

x= 18 1/2

Hunter is 18 1/2 years old.

4 0
3 years ago
The question is in the picture please explain.
lapo4ka [179]

Answer:

x = 78

Step-by-step explanation:

Look at Triangle DBH. Two of its angles are known. Let y = <DHB

47 + 31 + y  = 180        All triangles have 180 degrees. Combine the left.

78 + y = 180                Subtract 78 from both sides.

78-78+y = 180-78        Combine

y = 102

Notice that y + x = 180   They form a straight line.

102 + x = 180                   Subtract 102 from both sides.

x = 78

You should notice that x is an exterior angle. (I didn't at first).

Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78

Much shorter and much easier.

3 0
4 years ago
A package of construction paper has 6 sheets of red paper, 14 sheets of blue pape
Triss [41]

Answer:

50/10=5 so the ratio is 5 times more

there was 6 sheets of red paper and there is 5 times more so 5 x 6 = 30 red sheets

30 red sheets

Hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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