Mathematics
Mathematics, 17.07.2019 02:00, heroxtree

Determine whether the following conjecture is true or false. give a counterexample if the answer is false. ∠a and ∠b are supplementary, ∠b and ∠c are complementary, then ∠a and ∠c are complementary angles.

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Mathematics, 12.11.2019 04:31, makinzy03
Determine whether the conjecture is true or false. give a counterexample for any false conjecture. 1. given: points a,b,c and d conjecture: a,b,c and d are coplanar. a. true b. false; the four points do not have to be in a straight line. c. false; two points are always coplanar but four are not. d, false; three points are always coplanar but four are not. 3. given: m^2 + 6 = 10 conjecture: m = 2 a. false; m = 14 b. true c. false; m = 3 d. false; m = -2 or m = 2 4. given: two angles are supplementary. conjecture: they are both acute angles. a. false; either both are right or one is obtuse. b. false; either both are right or they are adjacent. c. false; they must be vertical angles. d. true 6. given: /_f is supplementary to /_g and /_g is supplementary to /_h. conjecture: /_f is supplementary to /_h. a. true b. false; they could be vertical angles. c. false; they could be right angles. d. false; they could be non-right congruent angles. 10. given: point b is in the interior of /_adc conjecture: /_adb≅ /_bdc a. true b. false; m/_adb + m/_bdc = 90. c. false; just because it is in the interior does not mean it is on the bisecting line. d. false; m/_adb may be obtuse 16. given: /_abc, /_dbe are coplanar. conjecture: they are vertical angles. a. false; one angle may be in the interior of the other. b. true. c. false; they angles may be adjacent. d. false; the angles may be supplementary. 18. given: segments rt and st, twice the measure of st is equal to the measure of rt. conjecture: s is the midpoint of segment rt. a. false; st could be the segment bisector of rt. b. false; lines do not have midpoints. c. false; point s may not be on rt. d. true 19. given: a concave polygon conjecture: it can be regular or irregular. a. true b. false; a concave polygon has an odd number of sides.
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