99. In triangle ABC, the measure of angles A and B are the same. The measure of angle C is 27° larger than the measure of angle A. Find the measure of each angle in the triangle. 100. In triangle ABC, the measure of angles A and B are the same. The measure of angle C is 6° smaller than the measure of angle A. Find the measure of each angle in the triangle. 101. Find the height of a triangle whose area is 537.5 m2 and whose base is 25 m. 102. Find the height of a triangle whose area is 693 cm2 and whose base is 33 cm. 103. Solve 0.02x + 0.05y = 80 for y. 104. Solve 0.05x + 0.01y = -50 for x. 105. Find the radius and area of a circle with circumference 119.32 cm. Use 3.14 for the value of π to approximate answers to two decimal places. 106. Find the radius and area of a circle with circumference 175.84 in. Use 3.14 for the value of π to approximate answers to two decimal places. 107. Find the measure of each angle labeled in the figure. 3a 8 ° 7a – 20 ° 108. Find the measure of each angle labeled in the figure. a 37 ° 5a – 21 ° 109. Solve 5x - y = -10 for x. 110. Solve 3x + 2y = 12 for x. 111. The supplement of an angle is 24° more than four times its complement. Find the measure of the angle. 112. The supplement of an angle is 19° less than five times its complement. Find the measure of the angle. 113. Find the measure of each angle labeled in the figure. 5a – 8 ° 2a 4 ° a° 114. Find the measure of each angle labeled in the figure. 4a – 6 ° a° 5a 3 ° 115. In triangle ABC, the measure of angle B is 9° less than the measure of angle A. The measure of angle C is 27° less than the measure of angle A. Find the measure of each angle in the triangle. 116. In triangle ABC, the measure of angle B is 16° more than the measure of angle A. The measure of angle C is 2° more than the measure of angle A. Find the measure of each angle in the triangle. 117. The circumference of the inner circle of a washer measures 50.3 in., and the circumference of the outer circle measures 370.7 in. Find the radius of the inner and outer circles. Find the area of the inner circle. Use 3.14 for the value of π. Round the values to two decimal places. 118. The circumference of the inner circle of a washer measures 88.0 mm, and the circumference of the outer circle measures 157.1 mm. Find the radius of the inner and outer circles. Find the area of the inner circle. Use 3.14 for the value of π. Round the values to two decimal places. You Be the Teacher! Correct each student’s errors, if any. 119. Find the measure of each angle labeled in the figure. 5a 8 ° 7a – 20 ° Emma’s work: (7a - 20) + (5a + 8) = 180 12a - 12 = 180 12a = 192 a = 16 7a - 20 = 7(16) - 20 = 92 5a + 8 = 5(16) + 8 = 88 120. Solve: F = 9 5 C + 32 for C. Cynthia’s work: F = 9 5 C + 32 5 · F = 5 · 9 5 C + 32 5F = 9C + 32 5F - 32 = 9C 5F - 32 C = 9 121. Solve: A = 2πr2 + 2πrh for h. Kimberly’s work: A = 2πr2 + 2πrh A - 2πr2 = 2πrh A - 2πr2 2πrh = 2πrh 2πrh A - 2πr2 2πrh = h 150 Chapter 2 Linear Equations and Inequalities in One Variable
hendricks_beginning_intermediate_algebra_1e_ch1_3
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