State the property being illustrated in each example. 5.) 6(5x) = (6.5)x

6.) 14 + x + 8 = 14 + 8 + x

7.) 9(y + 4) = 9y + 36

8.) (a + 100) + 50 = a + (100 + 50)

9.) 1/4 (8x - 20) = 2x-5

10.) 25 - 7 = 25 .7 . y

5.) Associative Law

6.) Commutative Law

7.) Distributive Law

8.) Associative Law

9.) Distributive Law

10.)

Step-by-step explanation:

The associative law means that if all the arithmetic operations in an equation are the same, the position of the brackets do not matter and no matter which variables are associated, the result would still be the same.

The commutative law means that if all the arithmetic operations in an equation are the same, the position of the variables do not matter and no matter what order the variables are placed, the result would still be the same.

The distributive law means that whatever is outside of the bracket has to be multiplied into the variables in the bracket evenly. E.g. 1/4 (8x - 20) involves multiplying both 8x by 1/4 and 20 by 1/4.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral

you can first factor out the n to get n(1+5). we know that 1+5 is 6, so we just have 6n.