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!
The answer is 95 degrees because it is a vertical angle. This is actually a lot easier than it looks. Hope this helped.
Answer:
48 divided by 16
Step-by-step explanation:
16 oz=1 lb
Divided by 16 because there are 16 oz per pound
Answer:
point form: 
equation form: 
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please see the attached pictures for the full solution.
