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Examine the following paragraph proof: Given that 3(x- 2) = 42, the A results in 3x - 6 = 42. Next, use the Addition Property of Equality to get B_ Finally, use the to show that x = 16. What should be in line A? Division Property Distributive Property 3x = 48 Addition Property of Equality

Examine the following paragraph proof: Given that 3(x- 2) = 42, the A results in 3x - 6 = 42. Next, use the Addition Property of Equality to get B_ Finally, use the to show that x = 16. What should be in line A? Division Property Distributive Property 3x = 48 Addition Property of Equality

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Examine the following paragraph proof:** Given that \(3(x - 2) = 42\), the ________ A ________ results in \(3x - 6 = 42\). Next, use the Addition Property of Equality to get ________ B ________. Finally, use the ________ C ________ to show that \(x = 16\). **What should be in line A?** - ○ Division Property - ○ Distributive Property - ○ \(3x = 48\) - ○ Addition Property of Equality This exercise involves understanding algebraic properties used to solve equations. The correct option for line A would be the "Distributive Property," which explains how \(3(x - 2)\) expands to \(3x - 6\). The task is to select the correct properties or equations to complete the proof.
Transcribed Image Text:**Examine the following paragraph proof:** Given that \(3(x - 2) = 42\), the ________ A ________ results in \(3x - 6 = 42\). Next, use the Addition Property of Equality to get ________ B ________. Finally, use the ________ C ________ to show that \(x = 16\). **What should be in line A?** - ○ Division Property - ○ Distributive Property - ○ \(3x = 48\) - ○ Addition Property of Equality This exercise involves understanding algebraic properties used to solve equations. The correct option for line A would be the "Distributive Property," which explains how \(3(x - 2)\) expands to \(3x - 6\). The task is to select the correct properties or equations to complete the proof.
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