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vladimir1956 [14]
3 years ago
14

Please show all work and not just the answers. Please help ASAP!!!!!

Mathematics
1 answer:
BigorU [14]3 years ago
8 0

9514 1404 393

Answer:

  a) x = 14

  b) NP = 2 2/9; NL = 2 7/9

Step-by-step explanation:

a) The similarity statement tells you that angle P and angle L have the same measure:

  angle L = angle P

  3x +18 = 60

  x + 6 = 20 . . . . . divide by 3

  x = 14 . . . . . . . . . subtract 6

__

b) The proportional segments are ...

  PN/NQ = LN/NM

  y/3.2 = (5 -y)/4

  5y = 4(5 -y) . . . . . multiply by 16

  9y = 20 . . . . . . . . add 4y

  y = 20/9 = NP

  5 -y = (45 -20)/9 = 25/9 = NL

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