Use the GCF and the distributive property to express the sum as a product 35+25

Step-by-step explanation:

Given the expression 25+35.

Given A, B and C, according to distributive property:

A(B+C) = AB + BC

A is distributed over B and C where A is the GCF in this case. Applying this in the expression given

25 = 5 * 5

35 = 5* 7

25+35 = (5*5)+(5*7)

25+35 = 5(5+7)

5(5+7) = 5(5) + 5(7) (Distributive property)

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.