Arectangular prism must have a base with an area of no more than 27 square meters. the width of the base must be 9 meters less than the height of the prism. the length of the base must be 6 meters more than the width of the base. find the maximum height of the prism. let x = the height of the prism x – 9 = the width of the base a rectangular prism must have a base with an area of no more than 27 square meters. the width of the base must be 9 meters less than the height of the prism. the length of the base must be 6 meters more than the width of the base. find the maximum height of the prism. let x = the height of the prism x – 9 = the width of the base x -3 = the length of the prism select the inequality that represents the problem. x2 – 3 x – 81 ≤ 0 x2 – 3 x – 27 ≤ 0 x2 – 12 x – 27 ≤ 0 x2 – 12 x ≤ 0

Choice D)

The base has length x-3 and width x-9 which multiplies out to (x-3)(x-9) = x^2-12x+27

This area must be 27 square meters or less, so we set that expression less than or equal to 27

then we subtract 27 from both sides to get the final answer

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)

68719476736

step-by-step explanation:

8*8*8*8*8*8*8*8*8*8*8*8=68719476736