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poizon [28]
3 years ago
12

Mark is installing a mosaic tile backsplash and the shape of the tiles are shaped like regular octagons. Each tile has a length

from side to side of 6 in. Once Mark gets a few pieces on the wall, he realized that there is a gap that the tiles do not cover. What size tile must he get to fill the gaps?
Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

square with sides of 6 in

Step-by-step explanation:

Tessellation is the arrangement of shapes in repeated patterns without gaps or overlapping.

Tessellation is usually done with regular polygons. Only three regular shapes can tessellate, these are equilateral triangle, regular square and regular hexagon. For other polygon to tessellate, more than one shape must be used. A octagon can be used to make tessellations if it is used together with a square.

Mark uses tiles with shape of octagon of sides 6 in. To fill the gaps, Mark have to uses a square with sides of 6 in

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3 years ago
a contractor is building a new subdivision on the outside of a city. he has started work on the first street and is planning for
monitta

The equation of the location of the second street in standard form is

x + y = -6

Equation of the line:

The equation of the line represents the algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of the line can be formed with the help of the slope of the line and a point on the line.

The general form of the equation of a line with a slope m and passing through the point (x₁,y₁) is given as:

y = mx + b.

Where

m represents the slope of the line.

Given,

Point = ( -5 , -1)

Here we need to find the equation of the location.

For that, first we have to find the slope of the line,

Having two points in the format (x,y), the slope is given by the change in y divided by the change in x.

The equation of the street is parallel to the equation of the line in the graph, thus they have the same slope.

So, in street 1 the equation is

=> y =-x +1

And street 2 the equation is  

=> y =-x +b,  

solve for b by plugging in (-5,-1)

=> -1 =-(-5) +b

=> b= -1-5 = -6

=> b = -6

Now apply the value of b on the equation,

Then

=> y = -x -6

=> y + x = -6

So, the equation of the location is x + y = -6.

To know more about Equation of the line here.

brainly.com/question/2564656

#SPJ4

7 0
1 year ago
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