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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