1) Find solve for x in the figure below. X A 3 D A. x = x= 3√√3 B x= 3√/9 9 B C. x = 9-√3 D. x = 4

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.9: Direct Variation
Problem 15P
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### Geometry Problem:

#### Question:
Find and solve for \( x \) in the figure below:

#### Diagram:
A right triangle ABC is depicted with the following details:
- Side AD measures 3 units.
- Side DB measures 9 units.
- Point D is perpendicular to side AB, making triangle ADC a right triangle.

#### Options:
- A. \( x = 3\sqrt{5} \)
- B. \( x = 3\sqrt{6} \)
- C. \( x = \frac{9}{\sqrt{5}} \)
- D. \( x = 4 \)

From the given options, one has been marked with an 'X', indicating it's the incorrect choice.

#### Explanation:
To solve for \( x \), consider the right triangle properties and the use of geometric formulas appropriate for the problem statement, such as the Pythagorean Theorem, trigonometric ratios, or specific properties of right triangles. Use these principles to find \( x \).
Transcribed Image Text:### Geometry Problem: #### Question: Find and solve for \( x \) in the figure below: #### Diagram: A right triangle ABC is depicted with the following details: - Side AD measures 3 units. - Side DB measures 9 units. - Point D is perpendicular to side AB, making triangle ADC a right triangle. #### Options: - A. \( x = 3\sqrt{5} \) - B. \( x = 3\sqrt{6} \) - C. \( x = \frac{9}{\sqrt{5}} \) - D. \( x = 4 \) From the given options, one has been marked with an 'X', indicating it's the incorrect choice. #### Explanation: To solve for \( x \), consider the right triangle properties and the use of geometric formulas appropriate for the problem statement, such as the Pythagorean Theorem, trigonometric ratios, or specific properties of right triangles. Use these principles to find \( x \).
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