With two math 1. complete the following proof given: –x – 4 = 9 prove: x = –13 statements reason 1. –x – 4 = 9 1. given 2. –x = 13 2. 3. x = –13 3. division property of equality choices: addition property of equality, subtraction property of equality, multiplication property of equality, or division property of equality 2. complete the proof. given: ab = 7x + 1, bc = 4x, ac = 111 prove: x = 10 statement reason 1. ab = 7x + 1, bc = 4x, ac = 111 1. given 2. ac = ab + bc 2. 3. 111 = 7x + 1 + 4x 3. 4. 111 = 11x + 1 4. combine like terms 5. 110 = 11x 5. subtraction property of equality 6. 10 = x 6. division property of equality 7. x = 10 7. choices for 2, 3, and 7: picture below.

Answer => Step-by-step explanation:

Given: -x - 4 = 9

Prove: x = -13

-x - 4 = 9                        ; Given

-x = 13                             ; Addition Property of Equality

                                        You isolate the x by adding 4 to both sides                 ;                                          of the equal sign)

x = -13                             ; Division of Equality

Answer => Step-by-step explanation:

Given: AB = 7x + 1, BC = 4x, AC = 111

Prove: x = 10

Statement Reason

AB = 7x + 1, BC = 4x, AC = 111        ; Given

AC = AB + BC                                 ; Segment Addition Postulate

111 = 7x + 1 + 4x                               ; Segment Addition Postulate

111 = 11x + 1                                       ; Combine like terms

110 = 11x                                           ; Subtraction Property of Equality

10 = x                                               ; Division Property of Equality

x = 10                                               ; Symmetric Property of Equality

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