To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
The statement given is :
If a figure has three sides , it is a triangle
contrapositive statement is :
If a figure is not a triangle, then it does not have three sides.
last option is correct
Answer:
The answer to this question is: 12.96 ft ≈ 13 ft
Step-by-step explanation:
Data
Area 168 ft²
Length = ?
Volumen = 0.42 gallons
But we do not need the volume of paint because we know that the wall is squared-shape.
Only we need to know the formula to obtain the area of an square.
Formula area = length²
So 168 = length²
Finally √168 = length
length = 12.96 ≈ 13 ft
Answer:
C
Step-by-step explanation:
The answer is C
