Answer:
45 or multiples of 45 around the centre of octagon
Step-by-step explanation:
Given that ABCDEFGH is a regular octagon. i.e. it has 8 sides.
Since regular ocagon, all interior angles would be equal.
Sum of all interior angles of octagon = 2(8)-4 right angles
= 12 right angles
Hence each angle = 12(90)/8 = 135 degrees
Thus the octagon when rotated will take the same shape if vertices interchange also due to the property that all sides and angles are equal
Since each angle is 135 imagine an octagon with one vertex at origin O, and adjacent vertex B on x axis. OB has to be coincident with BC the next side or the previous side to get it mapped onto itself
The centre will be at the middle with each side subtending an angle of 45 degrees.
Hence if rotation is done around the centre with 45 degrees we will get octagon mapped onto itself.
45, 90, 135 thus multiples of 45
Answer:
161 cm
Step-by-step explanation:
Since 115 cm is 5 boxes, we take 115 and divide it by 5. This will get us the cm of 1 box. 115/5=23
Now we take 23 and multiply it by 7 to get the final height. 23x7=161
Answer= $138.98
47.86-25.20+52.75-22.04-8.50+94.11=$138.98
Answer:
Fill in the blank with 14
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Step-by-step explanation:
Given
The attached table
Required
Fill in the gap
Since, the table represents a linear function.
The first step is to calculate the slope of the table

Where






The equation of the table is calculated next as:

This becomes


Solve for y


To fill in the blank;
The value of x is 4
So, substitute 4 for x in 



Answer:
A circle with circumference 18 had an arc with 120 central angle.
=> Radius of that circle: R = 18/(2 x pi) = 2.86
=> Length of that arc: L = R x 120 x pi/180 = 2.86 x (2/3) x pi = 5.99
Hope this helps!
:)