Complete the proof that ∠QUR≅∠SUT. Q
R
S
T
U
StatementReason
1m∠QUR+m∠RUS=180°Angles forming a linear pair sum to 180°
2m∠RUS+m∠SUT=180°Angles forming a linear pair sum to 180°
3m∠QUR+m∠RUS=m∠RUS+m∠SUTTransitive Property of Equality
4m∠QUR=m∠SUT
Algebra
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
5∠QUR≅∠SUTDefinition of congruence

Scott harris can invest $7,000 in a 1-year cd that earns interest at an annual rate of 4 percent compounded monthly. the amount per $1.00 is 1.040742. he can also invest $7,000 in a 1-year cd at annual rate of 4 percent compounded quarterly. the amount per $1.00 is 1.040604. what is the difference in the amount of interest earned for each investment? a) $0.96 b) $0.81 c) $0.87 d) $0.88

Apsychology student wishes to investigate differences in political opinions between business majors and political science majors at her college. she randomly selects 100 students from the 260 business majors and 100 students from the 180 political science majors. does this sampling plan result in a simple random sample? why or why not? no, because each group of 200 students in the sample does not have the same chance of being selected. yes, because each group of 200 students in the sample has the same chance of being selected. no, because each individual student does not have an equal chance of being selected. yes, because each individual student has the same chance of being selected.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem