In Δ JLP, m ∠ JMP = 3x - 6, JK = 3y - 2, and LK = 5y - 8 then the value of LK = 7.
The median is the value that separates the upper and lower halves of a data sample, population, or probability distribution. It is sometimes referred to as "the middle" value in a data set.
The middle number is discovered by sorting all data points and selecting the one in the middle (or if there are two middle numbers, taking the mean of those two numbers).
Since [tex]$\overline{P K}$[/tex] is a median, JK = KL.
3y - 2 = 5y - 8
simplifying the above equation, we get
3y - 5y - 2 = 5y - 5y - 8
-2y - 2 = -8
-2y - 2 + 2 = -8 + 2
-2y = -6
y = 3
Substitute the value of y in LK, then we get
LK = 5y - 8
= 5(3) - 8
= 15 - 8
LK = 7
Therefore, the value of LK = 7.
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