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!
<h3>
Answer: y = (-3/2)x+3</h3>
In decimal form, this is y = -1.5x+3
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Explanation:
Start at (0,3). Move three units down and two units to the right to get to (2,0)
slope = rise/run
slope = -3/2
rise = -3 = go 3 units down
run = 2 = go 2 units to the right
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We could use the two points (0,3) and (2,0) in the slope formula below
m = (y2-y1)/(x2-x1)
m = (0-3)/(2-0)
m = -3/2
So this is another way to see the slope is -3/2
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The y intercept is where the graph crosses the vertical y axis. In this case, it's at 3. So b = 3
Using m = -3/2 and b = 3, we go from y = mx+b to y = (-3/2)x+3 which is equivalent to y = -1.5x+3
Answer:
A: 10,000 residents to 25 police officers
Step-by-step explanation:
400*25=10,000
Answer:
B
Step-by-step explanation:
