Which lines are parallel? Justify your answer. A) Lines p and q are parallel because same aside interior angles are congruent.
B) Lines p and q are parallel because alternate exterior angles are congruent.
C) Lines l and m are parallel because same said interior angles are supplementary.
D) Lines l and m are parallel because alternate interior angles are supplementary.

Kayla wants to find the width, ab, of a river. she walks along the edge of the river 65 ft and marks point c. then she walks 25 ft further and marks point d. she turns 90° and walks until her location, point a, and point c are collinear. she marks point e at this location, as shown. (a) can kayla conclude that δ and δ are similar? why or why not? (b) suppose de = 15 ft. what can kayla conclude about the width of the river?

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu . assume that the population has a normal distribution. a laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with sequals 17.6 milligrams. a confidence interval of 173.8 mgless than muless than 196.2 mg is constructed for the true mean cholesterol content of all such eggs. it was assumed that the population has a normal distribution. what confidence level does this interval represent?

Find the value of x. also give me an explanation so i can complete it to other questions as well, : )