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Answer :
Certainly! Let's solve this problem step by step.
We have three points: [tex]\( N \)[/tex], [tex]\( M \)[/tex], and [tex]\( O \)[/tex] with point [tex]\( M \)[/tex] lying between [tex]\( N \)[/tex] and [tex]\( O \)[/tex] on line segment [tex]\(\overline{N O}\)[/tex].
We're provided with the following lengths:
- The total length from [tex]\( N \)[/tex] to [tex]\( O \)[/tex] is [tex]\( 26.9 \)[/tex].
- The length from [tex]\( M \)[/tex] to [tex]\( O \)[/tex] is [tex]\( 12.3 \)[/tex].
We need to find 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 relationship:
[tex]\[ N O = N M + M O \][/tex]
We know:
[tex]\[ N O = 26.9 \][/tex]
[tex]\[ M O = 12.3 \][/tex]
Substitute these values into the equation:
[tex]\[ 26.9 = N M + 12.3 \][/tex]
To find [tex]\( N M \)[/tex], subtract [tex]\( M O \)[/tex] from [tex]\( N O \)[/tex]:
[tex]\[ N M = 26.9 - 12.3 = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is [tex]\( 14.6 \)[/tex].
The best answer from the choices provided is B. 14.6.
We have three points: [tex]\( N \)[/tex], [tex]\( M \)[/tex], and [tex]\( O \)[/tex] with point [tex]\( M \)[/tex] lying between [tex]\( N \)[/tex] and [tex]\( O \)[/tex] on line segment [tex]\(\overline{N O}\)[/tex].
We're provided with the following lengths:
- The total length from [tex]\( N \)[/tex] to [tex]\( O \)[/tex] is [tex]\( 26.9 \)[/tex].
- The length from [tex]\( M \)[/tex] to [tex]\( O \)[/tex] is [tex]\( 12.3 \)[/tex].
We need to find 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 relationship:
[tex]\[ N O = N M + M O \][/tex]
We know:
[tex]\[ N O = 26.9 \][/tex]
[tex]\[ M O = 12.3 \][/tex]
Substitute these values into the equation:
[tex]\[ 26.9 = N M + 12.3 \][/tex]
To find [tex]\( N M \)[/tex], subtract [tex]\( M O \)[/tex] from [tex]\( N O \)[/tex]:
[tex]\[ N M = 26.9 - 12.3 = 14.6 \][/tex]
Therefore, the length of [tex]\(\overline{N M}\)[/tex] is [tex]\( 14.6 \)[/tex].
The best answer from the choices provided is B. 14.6.
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