Kari 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 qmn is shown congruent to angle lns.

which theorem could kari use to show the measure of angle qml is supplementary to the measure of angle snk?

a. alternate exterior angles theorem
b. alternate interior angles theorem
c. same-side interior angles theorem
d. vertical angles theorem

Which of the following are accepted without proof in a logical system? check all that apply.

Michelle and julie work at a catering company. they need to bake 264 cookies for a birthday party that starts in a little over an hour and a half. each tube of cookie dough claims to make 36 cookies, but michelle eats about 1/5 of every tube and julie makes cookies that are 1.5 times as large as the recommended cookie size. it takes about 8 minutes to bake a container of cookies, but since julie's cookies are larger, they take 12 minutes to bake. a. how many tubes should each girl plan to bake? how long does each girl use the oven? b. explain your solution process what did you make? c. what assumptions did you make?

The difference between two numbers is one. three times the larger number minus two times the smaller number is 9. what are the two numbers