For each of the following statements, say whether it is true or false, and give a reason for your answer. assume for each of the statements that if person a knows person b, then b also knows a. (a) the number of people at a party that know an odd number of other people at the party must always be even. (b) the number of people at a party for which the number of other people at the party that they don’t know is odd, must always be even. (c) the number of people at a party that know an even number of other people at the party must always be even. (d) it is possible that no two persons at a party know the same number of other people at the party.

We just started the introduction into circles and i have no idea how to do this.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.

Find the value of the variable and the length of each chord for #5 and #6.