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Additional info for Schaum's Outline of Elementary Algebra, 3ed (Schaum's Outlines)
B) The sum of AB and BC is 25. BC is 15 under three times AB. x ϩ y ϩ 20 ϭ 50 y ϭ 2x x ϩ y ϭ 25 y ϭ 3x Ϫ 15 y x ϭ ᎏᎏ ϩ four 2 yϪxϭ2 Ans. c) AB is four greater than 1/2 BC. the variation of BC and AB is two. 7. three. AB, BC11 10, 20 10, 15 10, 12 ONE-EQUATION process: PERIMETER OF TRAPEZOID determine 9-17 indicates a trapezoid with congruent facets and with bases and aspects with indicated lengths. convey every one assertion as an equation; then locate x and the size of every base. Fig. 9-17 a) the fringe is 70 yd. b) The mixed size of the higher and decrease bases is 36 in. c) The sum of 3 facets no longer together with the higher base is sixty five toes. Ans. Equation x BC, advert 6x Ϫ 2 ϭ 70 4x Ϫ 2 ϭ 36 12 9ᎏ12ᎏ 15 yd, 31 yd 12ᎏ12ᎏ in, 23ᎏ12ᎏ in 5x Ϫ five ϭ sixty five 14 17 feet, 37 feet 184 challenge fixing AND MATHEMATICAL MODELING Equation d) the fringe of the trapezoid exceeds the fringe of a sq. having B ෆC ෆ as a facet by way of 10 cm. 7. four. 6x Ϫ 2 ϭ 4(x ϩ three) ϩ 10 [CHAP. nine x BC, advert 12 15 cm, 31 cm PERIMETER OF A QUADRILATERAL: RATIO OF facets the edges of a quadrilateral within the ratio of two : three : four : five are represented by means of 2x, 3x, 4x, and 5x, as proven in Fig. 9-18. exhibit every one assertion as an equation; then locate x and AB. Fig. 9-18 Equation a) the fringe is ninety eight toes. 7. five. Ans. 14x ϭ ninety eight x AB 7 14 feet b) the biggest part is eight in under the sum of the opposite 3 facets. 5x ϭ 9x Ϫ eight 2 four in c) The sum of two times the smaller part and the opposite aspects is eighty four mi. 2(2x) ϩ 12x ϭ eighty four 5ᎏ14ᎏ 10ᎏ12ᎏ mi d) the fringe of the quadrilateral is 22 m greater than that of a sq. having an aspect four m lower than BC. 14x = 4(3x - four) ϩ 22 three 6 cm e) the fringe of triangle ACD exceeds that of triangle ABC through 18 cm. 9x+20 = (5x + 20) +18 4ᎏ12ᎏ nine cm PERIMETER-OF-AN-ISOSCELES-TRIANGLE challenge In an isosceles triangle, the ratio of 1 of the congruent aspects to the bottom is four : three. a bit of cord fifty five in lengthy is for use to make a cord version of it. locate the bottom and the part. See Fig. 9-19. answer: allow 4x ϭ each one congruent aspect in inches and 3x ϭ base in inches. accordingly, 4x ϩ 4x ϩ 3x ϭ fifty five, 11x ϭ fifty five, x ϭ five, 3x ϭ 15, 4x ϭ 20. Ans. 15 and 20 in Fig. 9-19 Fig.