Select all the true statements. Through any three collinear points, there is exactly one plane.

□ A segment is part of a line between two points on the line called the endpoints.

If there is a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line.

O The midpoint of a segment is equidistant from the endpoints.

O. If two angles are supplementary to the same angle, then the angles must be obtuse.

□ If two angles form a linear pair, then the angles are complementary.

Question 101 points)which equation in slope-intercept form represents the line that passes through (5, 1) and(-4,7)

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Ageologist had two rocks on a scale that weighed 4.6 kilograms together. rock a was 0.5 of the total weight. how much did rock a weigh?