Question

Help please !!
state the properties used in reaching each of the following results.

Answer 1

`\textsf{28. Multiplication Property of Equality}`

`\textsf{29. Substitution Property of Equality }`

`\textsf{30. Transitive Property of Congruence }`

`\textsf{31. Angle Addition Postulate }`

`\textsf{32. Subtraction Property of Equality}`

Explanation:

28. If x/4= 11, then x = 44.

Property Used: Multiplication Property of Equality (Multiplying both sides of an equation by the same non-zero value).

29. If x=2 and y = 5, then xy= 10.

Property Used: Substitution Property of Equality (Replacing one variable with its given value).

30. If ∡C≅∡D and ∡A ≅ ∡D, then ∡A ≅ ∡C.

Property Used: Transitive Property of Congruence (If two angles are congruent to a third angle, then they are congruent to each other).

31. m∡ ABC=m∡1+m∡2+m∡3

Property Used: Angle Addition Postulate (The measure of an angle formed by two rays is equal to the sum of the measures of the two adjacent angles formed by those rays).

32. If x+11=20, then x = 9.

Property Used: Subtraction Property of Equality (Subtracting the same value from both sides of an equation).