3 years ago

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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