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## 2.3-2.5 Review

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**Determine which property is being used:**• If 2x = 8 then x = 4 • If and then • If ST = RQ then RQ = ST**Solve the following equation and justify each step.**3(2x + 7) = 27**Use the Law of Detachment to draw a conclusion if possible.**• If a student is on the basketball team, then the student has passing grades. Theresa is on the basketball team. • If you miss the bus then you will be late for school. You are late for school.**Use the Law of Syllogism to make a conclusion if possible:**If it snows then we will lose power. If my well does not work then I can’t shower. I don’t smell stinky after I shower. My well does not work when I lose power.**Use the given property to complete each statement:**• Multiplication Property of Equality If x + 4 = 12 then 2(x + 4) = __________ • Reflexive Property of Congruence ___________ • Symmetric Property of Congruence If then _____________**Find the values of x and y**2x + 15y - 7 4y + 6 6x + 12**Use the Law of Syllogism to make a conclusion if possible:**I feel better when I take Tums. Chalupas give me stomach aches. I get Chalupas when I go to Taco Bell.I don’t take Tums when I don’t get a stomach ache.**Given: are complements**are complements Prove: C B D M E A**Given and are congruent supplements and**supplementary to which has a measure of 122˚, determine the measure of Given is complementary to 30˚ and is a congruent complement to , find the