4. Given: Point K is between Points J and L. KL = 9x + 2, KJ = 5x - 8
and JL = 12x. Find KL.

JK___L

JL = KJ + KL

12x = (5x - 8) + ( 9x +2)

12x = 14x - 6

14x - 12x = 6

2x = 6

x = 6/2

x = 3

KL = 9x + 2 = 9(3) +2 = 27 + 2 = 29

I hope I helped you^_^

KL = 29

Step-by-step explanation:

Given that K is between J and L , then

JK + KL = JL , substitute values

5x - 8 + 9x + 2 = 12x , that is

14x - 6 = 12x ( subtract 12x from both sides )

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Then

KL = 9x + 2 = 9(3) + 2 = 27 + 2 = 29

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.