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23. Find the value of x. B C D A. 10.8 B. 5.4 G 21 7x+4 3x + 68 A Tx to sulav

23. Find the value of x. B C D A. 10.8 B. 5.4 G 21 7x+4 3x + 68 A Tx to sulav

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 45E
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### Educational Mathematics Problems #### Question 22: Find the image for point (0, 9) after a 90° counter-clockwise rotation about the origin. A. (9, 0) B. (0, 9) C. (−18, 9) D. (−9, 0) #### Question 23: Find the value of x. Diagram Description: - A circle is labeled with center \( C \). - A line segment \( CD \) intersects the circle at point \( D \). - Point \( B \) is on the circumference, with angle \( CDB \). - The equation \( 7x + 4 \) is along line segment \( BD \), and \( 3x + 68 \) is along line segment \( DC \). A. 10.8 B. 5.4 C. 21 D. 16 #### Question 24: What is the degree measure of the rotation that maps triangle \( \triangle ABC \) onto triangle \( \triangle A'B'C' \)? Diagram Description: - Two triangles \( \triangle ABC \) and \( \triangle A'B'C' \) are shown. - The triangles appear to be congruent with \( \triangle A'B'C' \) being a rotated version of \( \triangle ABC \). A. 45 B. (text cut off in the image) These mathematical problems explore geometric transformations, algebraic equations, and rotational symmetry. Each problem requires the application of specific mathematical concepts to find the correct solution.
Transcribed Image Text:### Educational Mathematics Problems #### Question 22: Find the image for point (0, 9) after a 90° counter-clockwise rotation about the origin. A. (9, 0) B. (0, 9) C. (−18, 9) D. (−9, 0) #### Question 23: Find the value of x. Diagram Description: - A circle is labeled with center \( C \). - A line segment \( CD \) intersects the circle at point \( D \). - Point \( B \) is on the circumference, with angle \( CDB \). - The equation \( 7x + 4 \) is along line segment \( BD \), and \( 3x + 68 \) is along line segment \( DC \). A. 10.8 B. 5.4 C. 21 D. 16 #### Question 24: What is the degree measure of the rotation that maps triangle \( \triangle ABC \) onto triangle \( \triangle A'B'C' \)? Diagram Description: - Two triangles \( \triangle ABC \) and \( \triangle A'B'C' \) are shown. - The triangles appear to be congruent with \( \triangle A'B'C' \) being a rotated version of \( \triangle ABC \). A. 45 B. (text cut off in the image) These mathematical problems explore geometric transformations, algebraic equations, and rotational symmetry. Each problem requires the application of specific mathematical concepts to find the correct solution.
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