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:
6,-3
Step-by-step explanation:
Answer:
C is false
Step-by-step explanation:
Example 3 is odd but 6 is equal.
3•6 is 18
18 is even
Answer:
B. The average quantity of detergent put into a box by a filling machine greater than one pound
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean. From the case above option B "The average quantity of detergent put into a box by a filling machine greater than one pound" tries to establish a difference between the variable ("quantity of detergent put into a box by a filling machine") is different from its average/mean
6/9=2/3 because we divide both sides by 3
hope this helps
