Question

The segment JL has a definite length of [Drop Down 1]. Segments JK and KL have both definite lengths of [Drop Down 2] and [Drop Down 3], respectively. Both segments are [Drop Down 4]. JL=5x-9, JK=3x and KL=1x+4

Answer 1

Answer:

$JL=56$       $JK=39$        $KL=17$

Step-by-step explanation:

Your question is not well presented/formatted; however, I can deduce that the question requires that you calculate the following lengths;

JK, KL and JL

Given that

$JL=5x-9$

$JK=3x$

$KL=1x+4$

The relationship between the given parameters is:

$JL = JK + KL$

Substitute 5x - 9 for JL; 3x for JK and 1x + 4 for KL

$5x - 9 = 3x + 1x + 4$

Collect Like Terms

$5x - 3x - 1x = 9 + 4$

$x = 13$

Now that the value of x has been solved, we can easily get the numeric values of JK, KL and JL by substituting 13 for x

So;

$JL=5x-9$

$JL=5*13-9$

$JL=65 - 9$

$JL=56$

$JK=3x$

$JK=3 * 13$

$JK=39$

$KL=1x+4$

$KL=1 * 13+4$

$KL=13+4$

$KL=17$

Hence;

$JL=56$       $JK=39$        $KL=17$