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Ludmilka [50]
3 years ago
14

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

Mathematics
2 answers:
Delicious77 [7]3 years ago
8 0
3x - 1 = 26

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

answer
3x = 27 (C. third choice)
egoroff_w [7]3 years ago
7 0

Answer:

The correct option is 3.

Step-by-step explanation:

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

Prove: x=9

\overline {PQ}\cong \overline{QR}             (Given)

PQ=QR             (Segment congruent postulate)

3x-1=26                         (Substitution property of equality)

Add 1 on both sides.

3x-1+1=26+1          (Addition property of equality)

3x=27

Divide both sides by 3.

x=9               (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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