Answer:
No, a regular pentagon does not tessellate.
In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:
(n-2)*180 (where n is the number of sides)
We plug in the number of sides (5) and get:
Angle sum = (5–2)*180
Angle sum = 3*180
Angle sum = 540
Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.
As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.
360/108 = 3.33333…
This means that a regular pentagon does not tessellate.
Hope this helps!
Answer:
24
Step-by-step explanation:
u can do mental math or use a calculator
Common Ratio<span>. For a </span>geometric sequence<span> or </span>geometric series<span>, the </span>common ratio<span> is the ratio of a term to the previous term. This ratio is usually indicated by the variable r.</span>
Purple line: axis of symmetry
Orange curve: parabola
Black dots: zero, x intercept, asymptote
Red dot: minimum, maximum, dilation
