The answer in simplified form is {5x^2+1}{2x+1}
For the answer to the question above, I think that only the <u><em>regular polygons that tessellate are equilateral triangles, squares, and regular hexagons.
</em></u>I hope my answer helped you. Have a nice day!
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
<em>3x+2y=12</em>
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
<em>2x+3y=13</em>
so the system is now
<em>3x+2y=12</em>
<em>2x+3y=13</em>
<em>from the first equation 2y=12-3x, y=6 - 3x/2</em>
<em>then put y in the second equation</em>
<em>2x+3*(6-3x/2)=13</em>
<em>2x+18-9x/2=13</em>
<em>2x-9x/2=13-18</em>
<em>4x/2-9x/2=-5</em>
<em>-5x/2=-5</em>
<em>*(-1/5) *(-1/5)</em>
<em>x/2=1</em>
<em>*2 *2</em>
<em>x=2</em>
<em>so y=6-3*2/2=6-3</em>
<em>y=3</em>
<em></em>
<em></em>
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By definition a triangle's third side must be larger than the difference of the other two sides (so in this case 10-10 = 0, so it must be larger than 0) and smaller than the sum (so 10+10 = 20 so it must be smaller than 20). Because this is not a specific type of triangle such as a right triangle, this is really the only rule that applies in this problem, so everything except E and F apply.
