Find the length of segment JK. (Enter the just the value, without any units.)

x = 8

Step-by-step explanation:

Since we know that the 2 triangles are similar (AA Similarity), we find the ratio of Triangle PLM: 2

We then multiply 4 by 2 (the ratio) to get x = 8 as length JK.

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.

Apply cross product property

Divide both sides of the equation by 6

Calculate

Since, JK = x then,

hope this helps...

Good luck on your assignment...

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

we need the options

step-by-step explanation: