ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD. B A

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
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ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD.

**Parallelogram Problem**

ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD.

**Diagram Explanation:**
The diagram shows a parallelogram ABCD. Diagonals AC and BD intersect at point E. The problem gives expressions for segments BE and ED in terms of x.

**Key Concepts:**
In a parallelogram, the diagonals bisect each other, meaning that BE = ED.

**Equations to Solve:**
- Set BE equal to ED.
- \( x + 8 = 5x \)

**Hints:**
- This blank helps you set up the equation.

**Solutions:**
- Solve for x.
- Calculate the length of BD using the value of x.

**Solutions Section:**
- x = __________
- BD = __________
Transcribed Image Text:**Parallelogram Problem** ABCD is a parallelogram. If BE = x + 8 and ED = 5x, find BD. **Diagram Explanation:** The diagram shows a parallelogram ABCD. Diagonals AC and BD intersect at point E. The problem gives expressions for segments BE and ED in terms of x. **Key Concepts:** In a parallelogram, the diagonals bisect each other, meaning that BE = ED. **Equations to Solve:** - Set BE equal to ED. - \( x + 8 = 5x \) **Hints:** - This blank helps you set up the equation. **Solutions:** - Solve for x. - Calculate the length of BD using the value of x. **Solutions Section:** - x = __________ - BD = __________
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