peteronso
Answered

Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.