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Mathematics, 01.08.2020 14:01 miranda911

HELP ASAP 28 POINTS 1. Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample. An acute triangle cannot be scalene. 2. Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample. A quadrilateral can be both a rectangle and a rhombus. 3. Determine whether the following statement is true or false. Then, use complete sentences to explain your answer. If you wish, you may include an example or counterexample. All parallelograms are trapezoids. 4. The following figure is a trapezoid. Decompose the shape into parallelograms or triangles only. Explain or show how you decomposed the shape. 5. The following figure is a trapezoid. The top base is 18 inches, and the bottom base is 22 inches. The height of the trapezoid is 8.5 inches. Find the area of the trapezoid. Explain or show how you got your answer. 6. On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. Note: Lines that look parallel are parallel, and lines that look congruent are congruent. 7. On the following composite figure, the longer edge length is 14 millimeters. The shorter edge length is 8 millimeters. The width of the figure, at its longest point, is 11.3 millimeters. Find the area of the figure. Explain or show how you got your answer. Note: Lines that look parallel are parallel, and angles that look like right angles are right angles. 8. On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Decompose the figure into parallelograms or triangles only. Explain or show how you decomposed the shape. 9. On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer. 10. On the following figure, one square represents an area of 1 square centimeter. Estimate the area of this irregular figure. Explain how you got your estimate. 11. On your own sheet of grid paper (see above for link to grid paper), draw an irregular figure which has an area of approximately 12 square units.

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