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Minchanka [31]
3 years ago
5

The sum of three consecutive odd integers 171

Mathematics
1 answer:
Artyom0805 [142]3 years ago
6 0
55,57,59 
Let the smallest integer = x
171= (x) + (x+2) + (x+4)
171= 3x + 6
3x = 165
x= 55
therefore the integers are 55, 57, 59
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Answer:

The proof is derived from the summarily following equations;

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Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

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Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

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∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

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