Two coplanar lines are cut by a transversal. which condition does not guarantee that the two lines are parallel?
a- a pair of alternate interior angles are congruent
b- a pair of same side interior angles are supplementary
c- a pair of corresponding angles are congruent
d- a pair of alternate exterior angles are complementary

Aswimming pool has an input pump for filling the pool and an output pump for emptying the pool. the input pump can fill the pool in 3 hours, and the output pump can drain the pool in 5 hours. as you go to bed, the pool is full, but a neighbor’s kid turns on the output pump. at midnight, you awake to find the pool half empty. immediately, you turn on the input pump, but you are sleepy and forget to turn off the output pump. at what time will the pool become full?

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

Triangle knm is what is true about the sides of knm