Jamar draws three pairs of parallel lines that are each intersected by a third line. in each figure, he measures a pair of angles. what is a reasonable conjecture for jamar to make by recognizing a pattern and using inductive reasoning? a. when a pair of parallel lines are intersected by a third line, all of the angles formed are supplementary. b. when a pair of parallel lines are intersected by a third line, all of the angles formed are acute. c. when a pair of parallel lines are intersected by a third line, the same-side interior angles are acute. d. when a pair of parallel lines are intersected by a third line, the same-side interior angles are supplementary.

Atriangle with all sides of equal length is a/an triangle. a. right b. scalene c. equilateral d. isosceles

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

Heather is riding a quadratic function that represents a parabola that touches but does not cross the x-axis at x=-6