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Jan created this 55-point star.\newlineShe used 99 lines to create this 66-point star.\newlineHow many lines join the dots in Jan's 1010-point star?\newline(A) 35\text{(A)}\ 35\newline(B) 29\text{(B)}\ 29\newline(C) 28\text{(C)}\ 28\newline(D) 26\text{(D)}\ 26

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Full solution

Q. Jan created this 55-point star.\newlineShe used 99 lines to create this 66-point star.\newlineHow many lines join the dots in Jan's 1010-point star?\newline(A) 35\text{(A)}\ 35\newline(B) 29\text{(B)}\ 29\newline(C) 28\text{(C)}\ 28\newline(D) 26\text{(D)}\ 26
  1. Calculate total lines: For a 55-point star, Jan used 1010 lines. Each point connects to 22 other points, so 55 points need 5×2=105\times2=10 lines, but we count each line twice, so we divide by 22. That's 10/2=510/2=5 lines.

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