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2. Equations & Inequalities > 2.05 Practical problems with equations
:
Eileen's bathtub can be filled in 18 minutes and can subsequently be drained in 19 minutes when it is unplugged. Find the number of
minutes, n, that it will it take to fill the bathtub if it is left unplugged while being filled.

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)

step-by-step explanation:

just plug in each number for x and see which ones work and don't