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astra-53 [7]
4 years ago
6

NEED HELP ASAP 70 POINTS

Mathematics
2 answers:
tester [92]4 years ago
6 0

Answer:


Step-by-step explanation:

Statement                                                                Reason

ΔACE, BD║AE                                                          Given

∠4≅∠1 and ∠3≅∠2                                      Corresponding angle postulate

ΔACE is similar to ΔBCD                             Angle-Angle similarity postulate

\frac{CA}{CB}=\frac{CE}{CD}          Definition of similar triangles

CA=CB+BA and CE=CD+DE                        Segment addition postulate

\frac{CB+BA}{CB}=\frac{CD+DE}{CD} Substitution property of equality.

\frac{CB}{CB}+\frac{BA}{CB}=\frac{CD}{CD}+\frac{DE}{CD} Addition of fractions.

1+\frac{BA}{CB}=1+\frac{DE}{CD}    Simplification of fractions

\frac{BA}{CB}=\frac{DE}{CD}         Subtraction property of equality.

Amiraneli [1.4K]4 years ago
4 0

Ayo, for anyone who needs it -

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