The ratio, r, is 20 - 13 = 27 - 20 = 34 - 27 = 7;
The nth term has the formula: an = a1 + (n-1) x r; where, a1 = 13 and r = 7;
Then, an = 13 + (n-1) x 7;
Finally, an = 13 + 7 x n - 7;
an = 7 x n + 6;
<h3>
Answer: 40 inches</h3>
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Explanation:
- x = first piece
- 2x = second piece, since its twice as long as the first
- 5x = third piece, since its five time as long as the first
x is some positive real number, and the units of each are in inches.
Add up the smaller pieces and we should get 64 inches back again
x+2x+5x = 64
8x = 64
x = 64/8
x = 8
The first piece is 8 inches long.
2x = 2*8 = 16 is the length of the second piece (in inches)
The third piece is 40 inches because 5x = 5*8 = 40
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Summary:
first = 8 inches
second = 16 inches
third = 40 inches
Check: 8+16+40 = 64, which confirms the answer
Answer:
0.25
Step-by-step explanation:
The fraction 
⇒ simplifies to 
, and as a decimal is 0.25
<em>Hope this helps!</em> :)
<h2>
Answer:</h2>
Tessellation is possible only for equilateral triangles, squares and regular hexagons. Therefore, there are only three regular polygons that tessellate.
Tessellation is possible, if each interior angle of a polygon is a factor of 360 degrees.
Now, in the given image, pentagon and octagon cannot tessellate.
And the triangle does not seem to be an equilateral triangle. But in general we can say that triangle tessellates.
So, the answer might be triangle (if its equilateral)
