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1. (a) Ornament, jewelry, ring, wedding ring; (b) vehicle, automobile, commercial automobile, taxi; (c) polygon, quadrilateral, parallelogram, rhombus; (d) angle, obtuse angle, obtuse triangle, isosceles obtuse triangle 2. (a) A regular polygon is an equilateral and an equiangular polygon. (b) An isosceles triangle is a triangle having at least two congruent sides.



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(c) A pentagon is a polygon having five sides. (d) A rectangle is a parallelogram having one right angle. (e) An inscribed angle is an angle formed by two chords and having its vertex on the circumference of the circle. ( f ) A parallelogram is a quadrilateral whose opposite sides are parallel. (g) An obtuse angle is an angle larger than a right angle and less than a straight angle. 3. (a) x 2 4; (b) 3y 15; (c) she does not love you; (d) his mark was not more than 65; (e) Joe is not heavier than Dick; ( f ) a b c 4. (a) A nonsquare does not have congruent diagonals. False (for example, when applied to a rectangle or a regular pentagon). (b) A non-equiangular triangle is not equilateral. True. (c) A person who is not a bachelor is a married person. This inverse is false when applied to an unmarried female. (d) A number that is not zero is a positive number. This inverse is false when applied to negative numbers. 5. (a) (b) (c) (d) Converse true, inverse true, contrapositive true Converse false, inverse false, contrapositive true Converse true, inverse true, contrapositive true Converse false, inverse false, contrapositive true





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On the Internet in general, and for the Extensible Markup Language (XML) world in particular, there s a strong emphasis on security to ensure the privacy and con dentiality of communications on a public medium, and also to protect the integrity of electronic business transactions These broad concerns help explain why several working groups at the World Wide Web Consortium (W3C) are currently working on a variety of security initiatives These include the XML Signature recommendation, which covers use of digital signatures to ensure document integrity, to provide message authentication, and to support signer authentication services They also include work underway on an XML Encryption initiative; its job is to de ne strong encryption/decryption services for XML documents, and the XML Key Management working group; its job is to de ne simple client access to public key data.

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The relationship between inventory and cost of goods sold can also be expressed as the number of days sales in inventory. In this ratio, the in ventory at the end of the year is divided by the average daily cost of goods sold. The latter gure is determined by dividing the cost of goods sold by 365. The number of days sales in inventory provides a rough measure of the length of time required to buy, sell, and then replace the inventory.

6. (a) Partial converses: interchange (2) and (3) or (1) and (3) Partial inverses: negate (1) and (3) or (2) and (3) (b) Partial converses: interchange (1) and (4) or (2) and (4) or (3) and (4) Partial inverses: negate (1) and (4) or (2) and (4) or (3) and (4) 7. (a) Necessary and sufficient; (b) necessary but not sufficient; (c) neither necessary nor sufficient; (d) sufficient but not necessary; (e) necessary and sufficient; ( f ) sufficient but not necessary; (g) necessary but not sufficient

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1 1 1. (a) 6(72) or 294 yd2; (b) 2(8)(62) 2(8)(14) 2(62)(14) or 510 ft2; 1 (c) 4(3.14)302 or 11,304 m2; (d) (3.14)(10)(10 42) or 911 yd2

2. (a) 363 or 46,656 in3; (b) 1003 or 1,000,000 cm3 3. (a) 27 in3; (b) 91 in3; (c) 422 in3; (d) 47 in3; (e) 2744 in3 4. (a) 3(82)(8) or 204 in3; (b) 2(9)(9) or 162 ft3; (c) 2(6)(6.4) or 13 ft3 5. (a) 904 m3; (b) 1130 ft3; (c) 18 ft3 6. (a) V 7. (a) 6e3

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