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klio [65]
3 years ago
9

IMAGE ATTACHING PLEASE HELP (GEOMETRY ) 100 POINTS COMPLETE THE FOLLOWING PROOF

Mathematics
2 answers:
suter [353]3 years ago
8 0

Answer:

Step-by-step explanation:

3 - the reason given is substitution, so substitute in the appropriate values to get LF + 27 = 45

5 - reason given is ratio of corresponding sides so set up a proportion to get LE/LN = LF/LM = 16/40 = 18/45

6 - reason given is simplify ratios, so do that to get 2/5 = 2/5

8 - the reason is SAS because of the ratio of corresponding sides and reflective property

defon3 years ago
3 0

Answer:

Step-by-step explanation:

TO PROVE : Δ NLM \sim ΔELF

i) ∠NLM  = ∠ELF      ( Common angle )

ii) \frac{LN}{LE}  = \frac{LM}{LF} = \frac{40}{16}  = \frac{45}{18}  =\frac{5}{2}       (∴ EF ║ NM )

iii) ∠LNM = ∠LEF     ( ∵ EF ║ NM & corresponding angle )  

HENCE PROVED

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