Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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8. Parallelogram FATE has the angle measures as shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain. A. Parallelogram FATE is a rhombus, because the diagonal bisects opposite angles. B. Parallelogram FATE is a square, because all four angles have the same measure. C. Parallelogram FATE is a rectangle, because the diagonal creates congruent triangles. D. There is not enough information. 58° 58° 58 58 9. ABCD is a rectangle. If AC = 2x + 6 and diagonal BD = 10, what is x? A. 1 В. 2 С. 3. D. 4 E 10. AE = 2x + 4 while CE = x + 20, how long is CE? A. 24 cm C. 36 cm В. 30 ст D. 42 cm 11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm, AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is the perimeter of parallelogram ABCD? A. 29 cm В. В. 45 сm C. 119 cm D. 148 cm
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Transcribed Image Text:8. Parallelogram FATE has the angle measures as shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain. A. Parallelogram FATE is a rhombus, because the diagonal bisects opposite angles. B. Parallelogram FATE is a square, because all four angles have the same measure. C. Parallelogram FATE is a rectangle, because the diagonal creates congruent triangles. D. There is not enough information. 58° 58° 58 58 9. ABCD is a rectangle. If AC = 2x + 6 and diagonal BD = 10, what is x? A. 1 В. 2 С. 3. D. 4 E 10. AE = 2x + 4 while CE = x + 20, how long is CE? A. 24 cm C. 36 cm В. 30 ст D. 42 cm 11. If AB = (2x + 5 ) cm, CD = (x + 25 ) cm, AD = ( 2y – 1) cm , and BC = ( y + 14 ) cm, what is the perimeter of parallelogram ABCD? A. 29 cm В. В. 45 сm C. 119 cm D. 148 cm
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