What is x?

and

what is z?
A. 84
B. 92
C. 96
D. 109

Step-by-step explanation:

180 = 55 + 41 + y (Angles in a triangle)

y = 180-(55+41)

y = 84

y+ z = 180 (Angles on a line)

z = 180 - y

z = 180 - 84

z = 96

The lines are parallel.

The angle opposite x is 109 because the are corresponding.

x is 109 (vertically opposite angles)

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)

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: