Need this problem solved with a step by step explanation. worth 50 points
2 answers:
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
Answer:
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>
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