146 Chapter 2 Linear Equations and Inequalities in One Variable Student Check 6 Find the measure of each angle in the triangle. a. A 4a + 5 4a – 5 a B C b. In a triangle ABC, the measure of angle A is twice the measure of angle C. The measure of angle B is 20° less than the measure of angle C. Find the measure of each angle. Troubleshooting Common Errors Some common errors associated with formulas and geometry applications are illustrated next. �� ������������������������ ������������������ A problem and an incorrect solution are given. Provide the correct solution and an explanation of the error. 7a. Solve d = rt for t. �������������������������������������� ���������������������������������������������������������������� The variable r is connected to t by multiplication. Therefore, we must divide both sides by r to isolate t. d = rt d r = rt r d r = t 7b. The complement of an angle is six degrees less than seven times the measure of the angle. Find the measure of the angle. �������������������������������������� ���������������������������������������������������������������� The error was made in representing the complement of the angle. If a is the measure of the angle, then 90 - a is the measure of the complement. Also, it is unreasonable to have a negative value for the measure of an angle. 90 - a = 7a - 6 96 = 8a 96 8 = 8a 8 12 = a The angle is 12°. Objective 7 ▶ Troubleshoot common errors. d = rt d - r = t Let a be the measure of the angle.Then a - 90 is the a - = 7a - 6 -84 6a -84 6 = 6 -14 = a The angle 14°. t gle. T measure of the complement. 90 = 6a ngle is 14 ANSWERS TO STUDENT CHECKS Student Check 1 a. $150 b. F = 122° c. 651 mi Student Check 2 a. The length of the painting is 390 in. Its area is 102,180 in.2. b. The base of the triangle is 5 ft. c. The dimensions of the White House are 168 ft by 85.5 ft. d. The circumference of the clock is 72.3 ft. The area is 415.5 ft2.
hendricks_beginning_algebra_1e_ch1_3
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