In the diagram of AABC, DE | AB, CD = 15, AD = 9, and AB = 40. %3D %3D 15 B. Complete the following proof to find the length of DE. Statements Reasons 1. DE AB, CD = 15, AD = 9, and AB = 40 %3D %3D 1. 2. LCDE N CAB 2. 3. ZDCE E ZACB 3. 4. ACDE~ACAB 4. 15 15+9 5. %3D 5. DE 40 6. DE 6. Simplify

In the diagram of AABC, DE | AB, CD = 15, AD = 9, and AB = 40. %3D %3D 15 B. Complete the following proof to find the length of DE. Statements Reasons 1. DE AB, CD = 15, AD = 9, and AB = 40 %3D %3D 1. 2. LCDE N CAB 2. 3. ZDCE E ZACB 3. 4. ACDE~ACAB 4. 15 15+9 5. %3D 5. DE 40 6. DE 6. Simplify

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

MAFS.912.G-SRT.3.5
In the diagram of AABC, DE | AB, CD = 15, AD = 9, and AB = 40.
15
40
Complete the following proof to find the length of DE.
Statements
Reasons
1. DE || AB, CD = 15, AD = 9, and AB = 40
1.
2. ZCDE N LCAB
2.
3. ZDCE E LACB
3.
4. ACDE~ACAB
4.
15+9
15
5.
DE
5.
40
6. DE =
6. Simplify

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