2 Find the value for x. AMNP - AXYZ P 16 x= # M f3 Z 3 3x4 4x Note: Solving this will result in two possible answers. Always make sure the value lengths. Submit Question $ f4 X 4 f5 N % 5 f6 Search Y ^6) & pie ASUS VivoBook 7 f80/ 8 f9 ho

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 9E
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I am really stuck on these problems. Can you provide details on how to solve this.

Find the value for \( x \).

\[ \triangle MNP \sim \triangle XYZ \]

**Diagram Explanation:**

There are two triangles in the image:

- **Triangle MNP:**
  - Side \( MP \) is labeled as \( 16 \).
  - Side \( PN \) is labeled as \( 4x \).
  - Side \( MN \) is labeled as \( 3x - 4 \).

- **Triangle XYZ:**
  - Side \( XY \) is labeled as \( 1 \).
  - Side \( XZ \) is labeled as \( Z \).
  - Side \( YZ \) is labeled as \( 1 \) (not explicitly labeled but part of similar triangles).

**Note:**

Solving this will result in two possible answers. Always make sure the values make sense in the context of side lengths.

\[ x = \]

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Transcribed Image Text:Find the value for \( x \). \[ \triangle MNP \sim \triangle XYZ \] **Diagram Explanation:** There are two triangles in the image: - **Triangle MNP:** - Side \( MP \) is labeled as \( 16 \). - Side \( PN \) is labeled as \( 4x \). - Side \( MN \) is labeled as \( 3x - 4 \). - **Triangle XYZ:** - Side \( XY \) is labeled as \( 1 \). - Side \( XZ \) is labeled as \( Z \). - Side \( YZ \) is labeled as \( 1 \) (not explicitly labeled but part of similar triangles). **Note:** Solving this will result in two possible answers. Always make sure the values make sense in the context of side lengths. \[ x = \] [Submit Question]
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