Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
step work justification
1 2(x + 1) = 10 given
2 2x + 2 = 10 distributive property
3
4 2x = 8 simplify
5two times x over two equals eight over two division property of equality
6 x = 4 simplify
2x + 2 + 2 = 10 + 2; addition property of equality
2x + 2 − 2 = 10 − 2; subtraction property of equality
(2x + 2)(2) = 10(2); multiplication property of equality
the quantity two times x plus two all over two equals ten over two; division property of equality

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation:

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.

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2