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Answer :
To determine which line is perpendicular to a line with a slope of [tex]\(-\frac{5}{6}\)[/tex], we need to find the slope of the perpendicular line.
The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope.
1. Start with the original slope: [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal:
- First, take the reciprocal of [tex]\(-\frac{5}{6}\)[/tex], which is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign to get the negative reciprocal: [tex]\(\frac{6}{5}\)[/tex].
3. The slope of the line that is perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
However, there seems to be a result given as 1.2, which is equivalent to [tex]\(\frac{6}{5}\)[/tex] when expressed as a decimal.
Therefore, the line with a slope of 1.2 is perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex]. You would need additional information to know which line from JK, LM, NO, or PQ has a slope of 1.2 in order to determine your answer accurately. Check your options to identify which line has this slope, and that will be the correct answer.
The slope of a line that is perpendicular to another line is the negative reciprocal of the original line's slope.
1. Start with the original slope: [tex]\(-\frac{5}{6}\)[/tex].
2. Find the negative reciprocal:
- First, take the reciprocal of [tex]\(-\frac{5}{6}\)[/tex], which is [tex]\(-\frac{6}{5}\)[/tex].
- Then, change the sign to get the negative reciprocal: [tex]\(\frac{6}{5}\)[/tex].
3. The slope of the line that is perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex] is [tex]\(\frac{6}{5}\)[/tex].
However, there seems to be a result given as 1.2, which is equivalent to [tex]\(\frac{6}{5}\)[/tex] when expressed as a decimal.
Therefore, the line with a slope of 1.2 is perpendicular to the original line with a slope of [tex]\(-\frac{5}{6}\)[/tex]. You would need additional information to know which line from JK, LM, NO, or PQ has a slope of 1.2 in order to determine your answer accurately. Check your options to identify which line has this slope, and that will be the correct answer.
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