A conjecture and the flowchart proof used to prove the conjecture are shown.
1 answer:
Answer:
∠1 is supplementary to ∠3.
Step-by-step explanation:
Given information: ABCD is a parallelogram.
Prove: ∠1 is supplementary to ∠3.
Proof:
∠1 = ∠ADB
∠2 = ∠DBC
∠3 = exterior angle adjacent to angle D B C.
Statement Reason
∠2 is supplementary to ∠3 Linear pairs
m∠2+m∠3=180° Definition of supplementary angles
Alternative interior angles
m∠1+m∠3=180° Substitute property of equality
∠1 is supplementary to ∠3 Definition of supplementary angles
Hence proved.
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Answer:
The final answer is "$2387.85 and $2594.85".
Step-by-step explanation:
Given values:
The bank statement balance= $2,253.18
The checkbook balance = $2,324.34
outstanding check amounts= $105.50 and $158.10
transit amount= $605.27
account earnin(credits)= $68.51
service charge= $5.00
Adjusted Checkbook Balance =?
Adjusted Statement Balance=?
Adjusted the Checkbook Balance:
checkbook balance = $2,324.34
Adjusted the Statement Balance:
bank statement balance= $2,253.18