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.
Answer:
Step-by-step explanation:
ive done this before and the answer to the equation is c and also truss me on this if you want. I wouldnt
3. 30g coffee.. 48 oz coffee
xg coffee.. 96 oz coffee
x = 96*30/48 = 2*30/1 = 60 g coffee, pick B
4. 2 16/20 = 56/20 = 28/10 = 14/5 = 2.8 meters, pick H
Answer:
The first one, with lines m and n
Step-by-step explanation:
The Corresponding Angles Theorem states: If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
I am extremely bad at math and I am trying to help other to ask a question, but I personally think C