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b. а. 5x+13 3x+7° 6x 4x + 10°

b. а. 5x+13 3x+7° 6x 4x + 10°

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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pls do problem A

For each diagram below, solve for \( x \). Explain what angle relationship(s) you used for each problem. a. Diagram a shows two angles in a right triangle. The angles are labeled \( 6x \) and \( 4x + 10^\circ \). The third angle, a right angle, is \( 90^\circ \). b. Diagram b shows two angles in a linear pair. The angles are labeled \( 5x + 13^\circ \) and \( 3x + 7^\circ \). **Explanation for Each Problem:** - For diagram (a), use the angle sum property of triangles, which states that the sum of the angles in a triangle is \( 180^\circ \). Since one angle is \( 90^\circ \), solve for \( x \) using the equation: \( 6x + (4x + 10) + 90 = 180 \). - For diagram (b), use the concept of a linear pair, where the sum of two adjacent angles is \( 180^\circ \). Solve for \( x \) using the equation: \( (5x + 13) + (3x + 7) = 180 \).
Transcribed Image Text:For each diagram below, solve for \( x \). Explain what angle relationship(s) you used for each problem. a. Diagram a shows two angles in a right triangle. The angles are labeled \( 6x \) and \( 4x + 10^\circ \). The third angle, a right angle, is \( 90^\circ \). b. Diagram b shows two angles in a linear pair. The angles are labeled \( 5x + 13^\circ \) and \( 3x + 7^\circ \). **Explanation for Each Problem:** - For diagram (a), use the angle sum property of triangles, which states that the sum of the angles in a triangle is \( 180^\circ \). Since one angle is \( 90^\circ \), solve for \( x \) using the equation: \( 6x + (4x + 10) + 90 = 180 \). - For diagram (b), use the concept of a linear pair, where the sum of two adjacent angles is \( 180^\circ \). Solve for \( x \) using the equation: \( (5x + 13) + (3x + 7) = 180 \).
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