The graphs of y=b(x) (black), y=g(x) (green), y=p(x) (blue) and y=r(x) (red) are shown. Which of the four statements is correct?

b′(x)=−r′(x)

g′(x)=−r′(x)

b′(x)=−g′(x)

g′(x)=−p′(x)

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)

for the points! : )

part a: 1.08

part b: 27.59