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
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
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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
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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