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77julia77 [94]
3 years ago
6

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

Mathematics
2 answers:
Montano1993 [528]3 years ago
5 0

Answer:

LJ=7x+18

Step-by-step explanation:

1. LJ=LK+KJ because of the Segment Addition Postulate, meaning that one part of a segment plus the other part is equal to the entire segment.

LJ=LK+KJ

2. The problem tells you what LK and KJ are, so just plug in those numbers.

LJ=(7x-10)+28

3. Get rid of the parenthesis/simplify.

LJ=7x-10+28

4. Simplify, you can add 28 to -10 and you will get 18. 7x remains untouched because there are no other x's.

LJ=7x+18

balu736 [363]3 years ago
4 0

Answer:

  • 46 units

Step-by-step explanation:

<u>According to segment addition postulate we have:</u>

  • MN = MK + KN and
  • LJ = LK + KJ

<u>Use the given values and find x:</u>

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

<u>Find LK:</u>

  • LK = 7*4 - 10 = 28 - 10 = 18

<u>Find LJ:</u>

  • LJ = 18 + 28 = 46

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