Name the property of equality or congruence that justifies each statement. 17. If mz1 = m2, then mZ1 + m23 = mL2+ m43. 18. If 41 = L5, then 45 21. If x y and y = z, then x = z. 20. If x + y = 7 and y = z, then x +z = 7.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
Problem 7P
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Name the property of equality or congruence that justifies each statement.
17. If mz1 = m22, then m1+ m23 = mL2 + m43.
18. If 21 = Z5, then 45 = 21.
If x = y and y = z, then x = z.
20. If x + y = 7 and y = z, then x + z = 7.
21. If
= 5 then n = 30.
6
22. If 2· mLA = 2 mLB, then mLA = mLB.
23. SC = SC
24. If x + 5 = 28, then x = 23.
Transcribed Image Text:Name the property of equality or congruence that justifies each statement. 17. If mz1 = m22, then m1+ m23 = mL2 + m43. 18. If 21 = Z5, then 45 = 21. If x = y and y = z, then x = z. 20. If x + y = 7 and y = z, then x + z = 7. 21. If = 5 then n = 30. 6 22. If 2· mLA = 2 mLB, then mLA = mLB. 23. SC = SC 24. If x + 5 = 28, then x = 23.
30. Solve and justify each statement. Note that you
29. Justify each statement with a property of
equality or congruence.
may not use all the blanks.
5x+ 6
3x- 4 =
8
(x - 16) = 10
8(3x- 4) = 5x+ 6
24x- 32= 5x+ 6
24x= 5x+ 38
19x= 38
x= 2
Transcribed Image Text:30. Solve and justify each statement. Note that you 29. Justify each statement with a property of equality or congruence. may not use all the blanks. 5x+ 6 3x- 4 = 8 (x - 16) = 10 8(3x- 4) = 5x+ 6 24x- 32= 5x+ 6 24x= 5x+ 38 19x= 38 x= 2
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