Estelle drew two parallel lines, PQ and RS, intersected by a transversal KL, as shown below: Two parallel lines, PQ and RS, are drawn with KL as a transversal intersecting PQ at point M and RS at point N. Angle KMQ is shown congruent to angle MNS. Which fact would help Estelle prove the measure of angle KMQ is equal to the measure of angle MNS? When both angle KMQ and angle MNS are equal to angle RNM, the angles KMQ and MNS are congruent. When same-side, consecutive interior angles QMN and PMN are complementary, the angles KMQ and MNS are congruent. When alternate interior angles QMN and MNR are supplementary, angles KMQ and MNS are congruent. When both angles KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.

I'm pretty sure the answer is d,(When both angle KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.)

Step-by-step explanation:

I had this question on my practice exam for my midterm.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations: