(ZT-XS) (2X+50)

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
Solve for x.
The image is a flowchart or diagram intended to guide the viewer through a mathematical problem involving angles and algebraic expressions. Here's a text transcription and description:

1. **Start** - This is the initial point of the flowchart.
2. **X = 18** - Represents a potential solution for the variable X.
3. A box features two linear expressions inside a rectangle oriented diagonally, likely depicting angles:
   - **(5X - 17)°**
   - **(2X + 50)°**
   - These expressions suggest a geometry problem where the equations describe angles, possibly part of a larger problem involving solving for X using angle properties.

4. **X = 21** - Another potential solution for X, suggesting the viewer to verify different values.
5. **X = 12** - An additional branch with a possible value for X.
6. **X = 11** - Another branch featuring a different value.
7. **X = 16** - Yet another possible value.

### Explanation of the Diagram

The diagram uses a flow from one expression to another, likely instructing the user to test different values of X in the algebraic angle equations to find a valid solution. The use of diagonal lines resembling intersecting lines or angles reinforces the geometric context. 

This diagram is typically used in educational settings to help students understand how to manipulate algebraic expressions while applying geometric principles, such as the sum of angles.
Transcribed Image Text:The image is a flowchart or diagram intended to guide the viewer through a mathematical problem involving angles and algebraic expressions. Here's a text transcription and description: 1. **Start** - This is the initial point of the flowchart. 2. **X = 18** - Represents a potential solution for the variable X. 3. A box features two linear expressions inside a rectangle oriented diagonally, likely depicting angles: - **(5X - 17)°** - **(2X + 50)°** - These expressions suggest a geometry problem where the equations describe angles, possibly part of a larger problem involving solving for X using angle properties. 4. **X = 21** - Another potential solution for X, suggesting the viewer to verify different values. 5. **X = 12** - An additional branch with a possible value for X. 6. **X = 11** - Another branch featuring a different value. 7. **X = 16** - Yet another possible value. ### Explanation of the Diagram The diagram uses a flow from one expression to another, likely instructing the user to test different values of X in the algebraic angle equations to find a valid solution. The use of diagonal lines resembling intersecting lines or angles reinforces the geometric context. This diagram is typically used in educational settings to help students understand how to manipulate algebraic expressions while applying geometric principles, such as the sum of angles.
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