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Answer :
To find the length of [tex]\(\overline{N M}\)[/tex], we can use the relationship between the points on the line segment [tex]\(\overline{N O}\)[/tex], where point [tex]\(M\)[/tex] is between points [tex]\(N\)[/tex] and [tex]\(O\)[/tex].
Given:
- [tex]\(M O = 12.3\)[/tex] (the length from point [tex]\(M\)[/tex] to point [tex]\(O\)[/tex])
- [tex]\(N O = 26.9\)[/tex] (the total length from point [tex]\(N\)[/tex] to point [tex]\(O\)[/tex])
Since point [tex]\(M\)[/tex] is between [tex]\(N\)[/tex] and [tex]\(O\)[/tex], the length of [tex]\(\overline{N O}\)[/tex] can be expressed as the sum of the lengths [tex]\(\overline{N M}\)[/tex] and [tex]\(\overline{M O}\)[/tex]:
[tex]\[ N M + M O = N O \][/tex]
To find the length of [tex]\(\overline{N M}\)[/tex], we rearrange the equation to solve for [tex]\(N M\)[/tex]:
[tex]\[ N M = N O - M O \][/tex]
Substitute the given values:
[tex]\[ N M = 26.9 - 12.3 \][/tex]
When you subtract 12.3 from 26.9, you get:
[tex]\[ N M = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is 14.6 units.
The correct answer is:
B. 14.6
Given:
- [tex]\(M O = 12.3\)[/tex] (the length from point [tex]\(M\)[/tex] to point [tex]\(O\)[/tex])
- [tex]\(N O = 26.9\)[/tex] (the total length from point [tex]\(N\)[/tex] to point [tex]\(O\)[/tex])
Since point [tex]\(M\)[/tex] is between [tex]\(N\)[/tex] and [tex]\(O\)[/tex], the length of [tex]\(\overline{N O}\)[/tex] can be expressed as the sum of the lengths [tex]\(\overline{N M}\)[/tex] and [tex]\(\overline{M O}\)[/tex]:
[tex]\[ N M + M O = N O \][/tex]
To find the length of [tex]\(\overline{N M}\)[/tex], we rearrange the equation to solve for [tex]\(N M\)[/tex]:
[tex]\[ N M = N O - M O \][/tex]
Substitute the given values:
[tex]\[ N M = 26.9 - 12.3 \][/tex]
When you subtract 12.3 from 26.9, you get:
[tex]\[ N M = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is 14.6 units.
The correct answer is:
B. 14.6
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Rewritten by : Jeany
