Does x/x+6 simplify to 1/6 explain why or why not

No. While x/x can equal one, since anything divided by itself will give you 1, You’re left with 1+6, not 1/6.

No, it does not.

x and x + 6 are both prime and cannot be factored.

There are no common factors to divide out.

x over x + 6 is already simplified.

If you substitute in a value for x, the fraction will not be equal to 1/6.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.