A B C D Given that AC = BD, if BD = 3x + 7, BC = 10, and AB = x + 5, what is the total length of segment AD?

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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**Instructions for Students**

For this question, either show your work on the image or your own piece of paper.

**Problem Statement:**

Consider a line segment with points labeled A, B, C, and D in a straight line.

Given:
- \( AC = BD \)
- \( BD = 3x + 7 \)
- \( BC = 10 \)
- \( AB = x + 5 \)

**Task:**

What is the total length of the segment \( AD \)?

**Line Diagram:**
```
A -------- B -------- C -------- D

- A to C is equal to B to D.
- B to D is expressed as \( 3x + 7 \).
- B to C is a fixed length of 10.
- A to B is expressed as \( x + 5 \).
```

**Answer Format:**

\( AD = \_\_\_\_\_\_\_ \)
Transcribed Image Text:**Instructions for Students** For this question, either show your work on the image or your own piece of paper. **Problem Statement:** Consider a line segment with points labeled A, B, C, and D in a straight line. Given: - \( AC = BD \) - \( BD = 3x + 7 \) - \( BC = 10 \) - \( AB = x + 5 \) **Task:** What is the total length of the segment \( AD \)? **Line Diagram:** ``` A -------- B -------- C -------- D - A to C is equal to B to D. - B to D is expressed as \( 3x + 7 \). - B to C is a fixed length of 10. - A to B is expressed as \( x + 5 \). ``` **Answer Format:** \( AD = \_\_\_\_\_\_\_ \)
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