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:
The value of x is 12.
Step-by-step explanation:
Given that perimeter is found when all sides are added together. So we can assume that all side lengths add together will give you 134 imches :
9514 1404 393
Answer:
C log3(√((x -4)/x)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^n) = n·log(a)
The base is irrelevant, as long as all logs are to the same base.
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Answer:
-4
Step-by-step explanation:
Compare this to the form ...
y -y1 = m(x -x1)
which is the point-slope form of the equation for a line. Matching the parts of the equation, you see that ...
m represents the slope of the line. The slope is -4.
It should be 1 over 2 or 1 over 11 but im pretty sure its the first one I picked
