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Answer :
To find the length of [tex]\(\overline{N M}\)[/tex], we use the information that point [tex]\(M\)[/tex] is between points [tex]\(N\)[/tex] and [tex]\(O\)[/tex] on the line segment [tex]\(\overline{N O}\)[/tex].
Given:
- The total length of [tex]\(\overline{N O}\)[/tex] is 26.9.
- The length of [tex]\(\overline{M O}\)[/tex] is 12.3.
We need to determine the length of [tex]\(\overline{N M}\)[/tex].
Since point [tex]\(M\)[/tex] is between [tex]\(N\)[/tex] and [tex]\(O\)[/tex], we can use the following equation:
[tex]\[ N O = N M + M O \][/tex]
To find the length of [tex]\(N M\)[/tex], we rearrange the equation as:
[tex]\[ N M = N O - M O \][/tex]
Now we substitute the given lengths into the equation:
[tex]\[ N M = 26.9 - 12.3 \][/tex]
[tex]\[ N M = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is 14.6.
The best answer from the choices provided is B. 14.6.
Given:
- The total length of [tex]\(\overline{N O}\)[/tex] is 26.9.
- The length of [tex]\(\overline{M O}\)[/tex] is 12.3.
We need to determine the length of [tex]\(\overline{N M}\)[/tex].
Since point [tex]\(M\)[/tex] is between [tex]\(N\)[/tex] and [tex]\(O\)[/tex], we can use the following equation:
[tex]\[ N O = N M + M O \][/tex]
To find the length of [tex]\(N M\)[/tex], we rearrange the equation as:
[tex]\[ N M = N O - M O \][/tex]
Now we substitute the given lengths into the equation:
[tex]\[ N M = 26.9 - 12.3 \][/tex]
[tex]\[ N M = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is 14.6.
The best answer from the choices provided is B. 14.6.
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