peteronso
Answered

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need this problem solved with a step by step explanation. worth 50 points

Need This Problem Solved With A Step By Step Explanation Worth 50 Points class=

Sagot :

mhanifa

Answer:

  • 46 units

Step-by-step explanation:

According to segment addition postulate we have:

  • MN = MK + KN and
  • LJ = LK + KJ

Use the given values and find x:

  • MN = LK + KN since MK = LK
  • 9x - 11 = 7x - 10 + x + 3
  • 9x - 11 = 8x - 7
  • 9x - 8x = 11 - 7
  • x = 4

Find LK:

  • LK = 7*4 - 10 = 28 - 10 = 18

Find LJ:

  • LJ = 18 + 28 = 46

semsee45

Answer:

LJ = 46

Step-by-step explanation:

Given information:

  • LK = MK
  • LK = 7x - 10  ⇒  MK = 7x - 10
  • KN = x + 3
  • MN = 9x - 11
  • KJ = 28

Segment Addition Postulate

If point B lies on the line segment AC, then AB + BC = AC.

Apply the Segment Addition Postulate to MN to find the value of x:

⇒ MN = MK + KN

⇒ 9x - 11 = 7x - 10 + x + 3

⇒ 9x - 11 = 7x + x - 10 + 3

⇒ 9x - 11 = 8x - 7

⇒ 9x - 11 - 8x = 8x - 7 - 8x

⇒ x - 11 = -7

⇒ x - 11 + 11 = -7 + 11

⇒ x = 4

Now we have found the value of x, we can calculate LJ, again applying the Segment Addition Postulate:

⇒ LJ = LK + KJ

⇒ LJ = 7x - 10 + 28

Substitute the found value of x into the equation:

⇒ LJ = 7(4) - 10 + 28

⇒ LJ = 28 - 10 + 28

⇒ LJ = 18 + 28

⇒ LJ = 46

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