Find the value of the variables 20. Kite 21. Parallelogram 3x-8 22. Isosceles Trapezoid 5x+4 22+5 X+3 5z-1 3y lox-4 8x +10 3y- 3 23. Rectangle X-4 24. Parallelogram 3y +2 25. Rhombus Х-7 2x + 4 Зх -16 8y +17 5y-1| 4y +12

Elementary Geometry For College Students, 7e
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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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### Find the Value of the Variables

#### 20. Kite
Given Kite with the following segment expressions:
- \(5x + 4\)
- \(3x - 8\)
- \(3y - 3\)
- \(y + 11\)

#### 21. Parallelogram
Given Parallelogram with the following expressions:
- \(x + 3\)
- \(5z - 1\)
- \(22z + 5\)
- Angle labeled as \(3y\)

#### 22. Isosceles Trapezoid
Given Isosceles Trapezoid with the following segment expressions:
- \(10x - 4\)
- \(8x + 10\)
Two pairs of arrows are marked to indicate parallel sides.

#### 23. Rectangle
Given Rectangle with the following segment expressions:
- \(x - 4\)
- \(3x - 16\)

#### 24. Parallelogram
Given Parallelogram with the following segment expressions:
- \(3y + 2\)
- \(8y + 17\)
  
#### 25. Rhombus
Given Rhombus with the following segment expressions:
- \(x - 7\)
- \(2x + 4\)
- \(5y - 11\)
- \(4y + 12\)

### Explanation of Shapes:
- **Kite:** A quadrilateral with two distinct pairs of adjacent sides that are equal.
- **Parallelogram:** A quadrilateral with opposite sides that are parallel and equal in length.
- **Isosceles Trapezoid:** A trapezoid with non-parallel sides that are equal in length.
- **Rectangle:** A parallelogram with four right angles.
- **Rhombus:** A parallelogram with all four sides of equal length.
Transcribed Image Text:### Find the Value of the Variables #### 20. Kite Given Kite with the following segment expressions: - \(5x + 4\) - \(3x - 8\) - \(3y - 3\) - \(y + 11\) #### 21. Parallelogram Given Parallelogram with the following expressions: - \(x + 3\) - \(5z - 1\) - \(22z + 5\) - Angle labeled as \(3y\) #### 22. Isosceles Trapezoid Given Isosceles Trapezoid with the following segment expressions: - \(10x - 4\) - \(8x + 10\) Two pairs of arrows are marked to indicate parallel sides. #### 23. Rectangle Given Rectangle with the following segment expressions: - \(x - 4\) - \(3x - 16\) #### 24. Parallelogram Given Parallelogram with the following segment expressions: - \(3y + 2\) - \(8y + 17\) #### 25. Rhombus Given Rhombus with the following segment expressions: - \(x - 7\) - \(2x + 4\) - \(5y - 11\) - \(4y + 12\) ### Explanation of Shapes: - **Kite:** A quadrilateral with two distinct pairs of adjacent sides that are equal. - **Parallelogram:** A quadrilateral with opposite sides that are parallel and equal in length. - **Isosceles Trapezoid:** A trapezoid with non-parallel sides that are equal in length. - **Rectangle:** A parallelogram with four right angles. - **Rhombus:** A parallelogram with all four sides of equal length.
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