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:
Step-by-step explanation:
move variable to the right-hand side and change its sign
divide both sides of the equation
Answer:
<em>4x+7y≤250</em>
Step-by-step explanation:
<u>Inequalities</u>
Let's call:
x = number of small rides
y = number of big rides
Since each small ride costs 4 tickets, x rides cost 4x tickets.
Since each big ride costs 7 tickets, y rides cost 7y tickets.
The total number of tickets is the sum of both:
Total tickets = 4x+7y
The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:
4x+7y≤250
x = 5.25
since there is a scale factor of 1.75, you multiply 3 * 1.75 and get 5.25
hope this is helpful!
Answer:
6
Step-by-step explanation:
The expression can be written as follows;
6^1/4 . 6^1/4 . 6^1/4 . 6^1/4 = (6^1/4)^4
So the powers will multiply each other;
= 6^(1/4 * 4) = 6^1 = 6
