9514 1404 393
Answer:
a) x = 14
b) NP = 2 2/9; NL = 2 7/9
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
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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