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Tempus fugit.. </quote> The language code speci ed is a two-letter designation that is de ned in ISO 639, Codes for the Representation of Languages (wwwoasis-openorg/ cover/iso639ahtml) If you want to use an obscure language set and are not sure if it is speci ed, this is the document to check Well over 400 languages are already speci ed, and if this is not enough, you can create your own (true to the XML spirit) as long as it is declared following standard practice White space has been a sore point for many versions of HTML because of its inherent tendency to reduce white space characters down to one space no matter how many were indicated This a ected spaces, blanks, tabs, and so on.



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Reasons Given Opposite sides of a parallelogram are parallel. Alternate interior angles of parallel lines are congruent. Vertical angles are congruent. Two triangles are similar if two angles of one triangle are congruent to two angles of the other. 6. Corresponding sides of similar triangles are in proportion.

If a rm has the ability to earn more than the normal rate on its in vestment (because of a favorable location, established reputation, man agement skills, or better products or services), goodwill may be indicat ed, and an incoming partner may be charged for it If so, the goodwill account is debited, while the old partners accounts are credited in the ra tios set up by the articles of partnership On the other hand, if goodwill is.

PRINCIPLE 1: PRINCIPLE 2: PRINCIPLE 3:





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Corresponding sides of similar triangles are in proportion. Corresponding segments of similar triangles are in proportion. Corresponding segments of similar polygons are in proportion.

When segments replaces sides, Principle 1 becomes the more general Principle 2. When polygons replaces triangles, Principle 2 becomes the even more general Principle 3. By segments we mean straight or curved segments such as altitudes, medians, angle bisectors, radii of inscribed or circumscribed circles, and circumferences of inscribed or circumscribed circles. The ratio of similitude of two similar polygons is the ratio of any pair of corresponding lines. Corollaries of Principles 2 and 3, such as the following, can be devised for any combination of corresponding lines: 1. Corresponding altitudes of similar triangles have the same ratio as any two correponding medians.

Fig. 7-22

Fig. 7-23

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7.26 Line ratios from similar triangles (a) In two similar triangles, corresponding sides are in the ratio 3:2. Find the ratio of corresponding medians [see Fig. 7-24(a)]. (b) The sides of a triangle are 4, 6, and 7 [Fig. 7-24(b)]. If the perimeter of a similar triangle is 51, find its longest side. (c) In nABC of Fig. 7-24(c), BC 25 and the measure of the altitude to BC is 10. A line segment terminating in the sides of the triangle is parallel to BC and 3 units from A. Find its length.

created by the incoming partner, the goodwill account is debited, and the new partner s capital account credited.

Fig. 7-24

(a) If nABC , nA B C and s sr m 3 , then 2 mr 6 7 3 . 2 17. Since nABC , nA B C , 71. 2 s 7 51 and s 17 21.

Line ratios from similar polygons Complete each of the following statements: (a) If corresponding sides of two similar polygons are in the ratio of 4:3, then the ratio of their perime _ ters is __ . (b) The perimeters of two similar quadrilaterals are 30 and 24. If a side of the smaller quadrilateral _ is 8, the corresponding side of the larger is __ . _ (c) If each side of a pentagon is tripled and the angles remain the same, then each diagonal is __ .

4 . 3 p s s 30 . Then (b) Since the quadrilaterals are similar, and s 10. sr pr 8 24 (c) Tripled, since polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion. (a) Since the polygons are similar,

In a problem, to prove that the product of the lengths of two segments equals the product of the lengths of another pair of segments, it is necessary to set up the proportion which will lead to the two equal products.

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