Consider the expression below. Assume m is an integer.

12m(3m + 21)

Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.)

12m(3m + 21) = 9 ()

Given that m is an integer, is 12m(3m + 21) divisible by 9?

A. Yes
B. No

4m² + 28m

A. Yes

Step-by-step explanation:

12m(3m+21) = 3(4m)[3(m+7)]

= 9(4m)(m+7)

= 9(4m²+28m)

Since 9 is a factor, it is divisible by 9

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

1 3 5

step-by-step explanation:

i took the test: )