Denise bought 116 ounces of beans for a bean dip. she bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.

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)