Answer:
8
Step-by-step explanation:
From the figure, <LJK =~ <LPM , also, <JLK =~ <PLM because vertical angles are congruent.
By Angle - Angle (AA) Similarity postulate, of two angles of a triangle are congruent to two angles of another triangle , then the triangles are similar.
Hence, ∆JLK ~ ∆PLM
Use the corresponding side lengths to write a proportion.
[tex] \frac{jl}{pl} = \frac{jk}{pm} [/tex]
[tex] \frac{4}{6} = \frac{x}{12} [/tex]
Apply cross product property
[tex]6 \times x = 12 \times 4[/tex]
[tex]6x = 48[/tex]
Divide both sides of the equation by 6
[tex] \frac{6x}{6} = \frac{48}{6} [/tex]
Calculate
[tex]x = 8[/tex]
Since, JK = x then,
JK = 8
hope this helps...
Good luck on your assignment...
