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A conjecture and a portion of the flowchart proof used to prove the conjecture are shown.



Which equation best represents the information that should be in the box labeled 1?

3x = 9

3x = 26

3x = 27

3x = 30

A conjecture and a portion of the flowchart proof used to prove the conjecture are shown Which equation best represents the information that should be in the bo class=

Respuesta :

3x - 1 = 26

addition property of equality, means add 1 to both sides
so 3x = 27

answer
3x = 27 (C. third choice)

Answer:

The correct option is 3.

Step-by-step explanation:

Given: [tex]\overline {PQ}\cong \overline{QR}[/tex], [tex]PQ=3x-1,QR=26[/tex].

Prove: [tex]x=9[/tex]

[tex]\overline {PQ}\cong \overline{QR}[/tex]             (Given)

[tex]PQ=QR[/tex]             (Segment congruent postulate)

[tex]3x-1=26[/tex]                         (Substitution property of equality)

Add 1 on both sides.

[tex]3x-1+1=26+1[/tex]          (Addition property of equality)

[tex]3x=27[/tex]

Divide both sides by 3.

[tex]x=9[/tex]               (Division property of equality)

Hence proved.

The required equation for box 1 is 3x=27.

Therefore the correct option is 3.

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