Match the justification to each step of the deductive reasoning about this picture: -6x- с 8 р Зx + 7 E CD + DE = CE 8 + (3x + 7) = 6x 3x + 15 = 6x 15 — Зт I = 5 CE = 6(5) : Segment Addition Postulate : Addition/Subtraction Property of Equality :: Multiplication/Division Property of Equality : Substitution : Combining like terms/simplifying ::

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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Match the justification to each step of the deductive reasoning about this picture:
-6x-
D
3x + 7
CD + DE = CE
8 + (3x + 7) = 6x
3x + 15 = 6x
15 = 3x
x = 5
CE = 6 (5)
: Segment Addition Postulate
:: Addition/Subtraction Property of Equality
: Multiplication/Division Property of Equality
:: Substitution
: Combining like terms/simplifying
::
Transcribed Image Text:Match the justification to each step of the deductive reasoning about this picture: -6x- D 3x + 7 CD + DE = CE 8 + (3x + 7) = 6x 3x + 15 = 6x 15 = 3x x = 5 CE = 6 (5) : Segment Addition Postulate :: Addition/Subtraction Property of Equality : Multiplication/Division Property of Equality :: Substitution : Combining like terms/simplifying ::
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