82 Chapter 2 Linear Equations and Inequalities in One Variable SECTION 2.3 EXERCISE SET Write About It! Use complete sentences in your answer to each exercise. 1. What are complementary angles? 2. What are supplementary angles? 3. What are vertical angles? 4. What relationship exists between vertical angles? 5. Explain the meaning of the perimeter of a figure. 6. Explain the meaning of the area of a figure. 7. Explain how to apply perimeter and area formulas to solve for missing dimensions of a figure. 8. Explain how to solve a formula for a specific variable. Practice Makes Perfect! Find the measure of each angle described or pictured. (See Objective 1.) 9. Find the measure of an angle whose complement is 18° more than twice the measure of the angle. 10. Find the measure of an angle whose complement is 30° more than triple the measure of the angle. 11. Find the measure of an angle whose complement is 25° less than the measure of the angle. 12. Find the measure of an angle whose complement is 40° less than the measure of the angle. 13. Find the measure of an angle whose supplement is 90° more than triple the measure of the angle. 14. Find the measure of an angle whose supplement is 99° more than twice the measure of the angle. 15. Find the measure of an angle whose supplement is 120° less than the angle. 16. Find the measure of an angle whose supplement is 110° less than the angle. 17. (2a)° a° 18. (3a)° a° GRAPHING CALCULATOR SKILLS The graphing calculator can aid us in evaluating formulas. Example: Use F = 9 5 C + 32 to find the value of F if C is 100°. Method 1: Enter the expression in the main window of the calculator. Method 2: Enter the formula in the equation editor. Use the table to enter the known value. Y= 4 5 X,T,u,n + 3 2 2nd GRAPH SUMMARY OF KEY CONCEPTS 1. The following are important facts about angles. • Right angles measure 90° and straight angles measure 180°. • Complementary angles and supplementary angles are two angles whose measures sum to 90° and 180°, respectively. If a is the measure of an angle, then 90 - a represents the measure of its complement and 180 - a represents the measure of its supplement. • Vertical angles are two nonadjacent angles formed by two intersecting lines. Vertical angles are equal in measure. 2. A formula is an equation that describes the relationship between quantities. It is important to be able to use these formulas to find the perimeter, area, or circumference. These formulas can also be used to find unknown dimensions of a figure if given its perimeter, area, or circumference. 3. Substitute known values into a formula to find missing values. 4. To solve a formula for a specified variable requires us to rewrite the equation so that the stated variable is isolated on one side of the equation. No substitutions are made in this process. We apply the addition and multiplication properties of equality to solve for a different variable.
hendricks_intermediate_algebra_1e_ch1_3
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