Question

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

Answer 1

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 2

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