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1. Solve the following proportion: 12 -8 (a) -12 (b) -14 (c) -16 (d) -18

1. Solve the following proportion: 12 -8 (a) -12 (b) -14 (c) -16 (d) -18

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.6: Ratios And Proportions
Problem 53PFA
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5. The scale of a map is lcm: 5 miles. The distance between the two cities is 112 miles. How far apart are they on the map? (a) 11.2 cm (b) 22.4 cm (c) 56 cm (d) 560 cm 6. The liquid outer core of Earth is 2300 kilometers thick. A scale model of the layers of Earth has a scale of 1 inch: 500 km. How thick is the liquid outer core of the model? (a) 0.2 inches (b) 4.6 inches (c) 0.2 km (d) 4.6 km 7. If you reflect ABCD across the AB'C'D' x-axis, what would be the coordinates of 3+ 6 5 4 -3 3- 4- -5+ (a) B'(4,4), C'(1,5), D'(6,1) B'(-4, –4), C'(-1, –5), D'(-6, –1) B'(4, –4), C'(1, –5), D'(6, – 1) (d) B'(-4,4), C'(-1,5), D'(-6,1)
Transcribed Image Text:5. The scale of a map is lcm: 5 miles. The distance between the two cities is 112 miles. How far apart are they on the map? (a) 11.2 cm (b) 22.4 cm (c) 56 cm (d) 560 cm 6. The liquid outer core of Earth is 2300 kilometers thick. A scale model of the layers of Earth has a scale of 1 inch: 500 km. How thick is the liquid outer core of the model? (a) 0.2 inches (b) 4.6 inches (c) 0.2 km (d) 4.6 km 7. If you reflect ABCD across the AB'C'D' x-axis, what would be the coordinates of 3+ 6 5 4 -3 3- 4- -5+ (a) B'(4,4), C'(1,5), D'(6,1) B'(-4, –4), C'(-1, –5), D'(-6, –1) B'(4, –4), C'(1, –5), D'(6, – 1) (d) B'(-4,4), C'(-1,5), D'(-6,1)
1. Solve the following proportion: 12 -8 (a) -12 (b) -14 (c) -16 (d) -18 2. The ratios of the measures of three angles of a triangle are 5 : 15 : 10. Find the measures of the angles. (a) 5°, 15°, 10° (b) 50°, 40°, 90° (c) 30°,90°, 60° (d) 60°, 180°, 120° 3. Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor (a) Enlargement with a scale factor of 3 (b) Enlargement with a scale factor of 2 (c) Reduction with a scale factor of - (d) Reduction with a scale factor of- 4. Graph the original figure and its dilated image. Then verify that the dilation is a similarity transformation. Original: A(0,0), B(6,0),C(6,4), D(0,4) Image: E(0,0), X(3,0), Y(3,2), Z(0,2) Is the dilation a similarity transformation? (a) Yes (b) No
Transcribed Image Text:1. Solve the following proportion: 12 -8 (a) -12 (b) -14 (c) -16 (d) -18 2. The ratios of the measures of three angles of a triangle are 5 : 15 : 10. Find the measures of the angles. (a) 5°, 15°, 10° (b) 50°, 40°, 90° (c) 30°,90°, 60° (d) 60°, 180°, 120° 3. Determine whether the dilation from A to B is an enlargement or a reduction. Then find the scale factor (a) Enlargement with a scale factor of 3 (b) Enlargement with a scale factor of 2 (c) Reduction with a scale factor of - (d) Reduction with a scale factor of- 4. Graph the original figure and its dilated image. Then verify that the dilation is a similarity transformation. Original: A(0,0), B(6,0),C(6,4), D(0,4) Image: E(0,0), X(3,0), Y(3,2), Z(0,2) Is the dilation a similarity transformation? (a) Yes (b) No
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