Determine whether the following regular polygon tessellates the plane. Explain.
2 answers:
Answer:
The answer is option B
Step-by-step explanation:
A decagon cannot tessellate.
Tessellation means the tiling of a plane using geometric shapes with no overlaps or no gaps.
A regular polygon can only tessellate the plane if its interior angle divides 360 degrees. Hence, tessellation is only applicable for equilateral triangles, squares and regular hexagons. - NO DECAGONS
A decagon has an interior angle of 144 degrees. This when divided by 360 gives, . We can see its not completely divisible and the answer is a fraction form. This is the reason decagon cannot tessellate.
Therefore, option B is the answer.
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300 messages would have to be sent or received in order for the plan to cost same each month.
Step-by-step explanation:
Given,
Cost per month = $30
Per text sent or received charges = $0.10
Let,
x be the number of texts sent or received.
A(x) = 0.10x+30
A comparable plan costs = $60 per month
Text messages are unlimited.
B(x) = 60
For the two plans to cost equal;
A(x) = B(x)
Dividing both sides by 0.10
300 messages would have to be sent or received in order for the plan to cost same each month.
Keywords: function, addition
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