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B) c-20b.png

The diagram labeled c-20b.png most accurately depicts the nomination and confirmation process for selecting a member of the United States Supreme Court when a vacancy occurs. This option illustrates the essential steps involved in the process, including the nomination by the President, the Senate Judiciary Committee's review, and the final confirmation vote by the Senate.

A) c-20a.png

This diagram, c-20a.png, does not accurately represent the nomination and confirmation process for a Supreme Court justice. It may omit crucial steps such as the role of the Senate Judiciary Committee or misrepresent the sequence of events, leading to a misunderstanding of the actual procedure.

C) c-20c.png

The diagram c-20c.png fails to depict the nomination and confirmation process correctly. It may include irrelevant information or misalign the order of events, which are critical in understanding how a Supreme Court nominee is evaluated and confirmed.

D) c-20d.png

c-20d.png does not provide an accurate representation of the Supreme Court nomination and confirmation process. This option likely lacks necessary components, such as the interaction between the President and the Senate, which are vital to the procedure, resulting in a misleading illustration.

Conclusion

The diagram c-20b.png is definitively the correct choice as it comprehensively and accurately outlines the nomination and confirmation process for a Supreme Court justice. All other options misrepresent key elements or the sequence of the process, which could lead to confusion about how justices are appointed in the United States.