Final Question. What is the right answer to this problem

JL = 50

Step-by-step explanation:

Since K is the midpoint of JL , then

JK = KL , substitute values

6x + 7 = 9x - 2 ( subtract 6x from both sides )

7 = 3x - 2 ( add 2 to both sides )

9 = 3x ( divide both sides by 3 )

3 = x

Thus

JL = JK + KL

   = 6x + 7 + 9x - 2

   = 15x + 5

   = 15(3) + 5 = 45 + 5 = 50

JL=50

Step-by-step explanation:

Step 1: The midpoint of a segment divides the segment into 2 congruent segments, which means JK=KL. SInce JK=KL, we know that 6x+7=9x-2.

Step 2: We can find x by simplifying 6x+7=9x-2 by subtracting 6x from both sides, which equals 7=3x-2.

Step 3: We can then simplify the equation even more by adding 2 to both sides. From this, we get 9=3x.

Step 4: To solve for x, we divide both sides by 3, which means that x=3.

Step 5: Since K is the midpoint of JL, we know that JK=KL. We can substitute JK for KL, so that JK+JK=JL. This means that (6x+7)+(6x+7)=JL.

Step 6: Since we know x=3, we can substitute 3 for x in (6x+7)+(6x+7)=JL, which would mean the equation is now (6(3)+7)+(6(3)+7)=JL.

Step 7: (6(3)+7)+(6(3)+7)=50

Step 8: JL=50

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step-by-step explanation: