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Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?
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Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

Segment LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What-example-1
User Antony Carthy
by
8.3k points

1 Answer

3 votes
Hello,
If we draw the line AM intercept DC in F,
using the theorem of Thales:

LM/DF=1/2
==>
(4x+3)/(187+x+8à=1/2
==>8x+6=195+x
==> 7x=189
==>x=27

User Johnny Wu
by
8.7k points
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