### Math 10 Chapter 3 - Part E

 1. The unknown in the continued proportion 9, x + 1, 16a) 22 b) 33c) 36d) 11
 2. a + b/b = 13/3a) x2y2/(x+y)2 b) a/b= 10 / 3c) a = 36cd) 36
 3. a/b = b/c = 6a) 36 b) 44c) a = 36cd) 11
 4. a/b = b/ca) k = 4 b) Direct proportionc) c = b2/ ad) k = 1
 5. x/y = 2/3a) a = +- 8 b) 2x + 3y/3x + 4y = 13/18c) k = 1d) c = b2/ a
 6. Weight and mass of a bodya) Direct proportion b) a = +- 8c) k = 1d) k = 4
 7. a and b3 varies directly a = 8 when b = 2a) k = 4 b) Direct proportionc) a = +-8d) k = 1
 8. 32, a and 2 are in continued proportiona) k = 1 b) a = +-8c) 6x + 2y/5x | y = 18/13d) Direct proportion
 9. x/a = y/b = z/c = 2/3a) x = 13/ 5 b) b = acc) Lengths of the side of triangle with perimeter 12cmd) x3y3z3/abc = 8 /27
 10. 3cm, 4cm, 5cma) b2 = ac b) x = 13/ 5c) Lengths of the side of triangle with perimeter 12cmd) y3 a 1/ x2
 11. x/5 = 13/15a) x = 13/ 5 b) b2 = acc) y3 a 1/ x2d) Lengths of the side of triangle with perimeter 12cm
 12. y3x2 = ka) y3 a 1/ x2 b) b2 = acc) x3y3z3/abc = 8 /27d) b = ac
 13. a/b = b/ ca) x3y3z3/abc = 8 /27 b) b2 = acc) Lengths of the side of triangle with perimeter 12cmd) y3 a 1/ x2
 14. a/b = c/d or b/a = d/ ca) Invertendo property b) 18c) 8d) 64
 15. a:b = c:d then a +b:b = c+d :da) Componendo property b) 16, 10c) Invertendo propertyd) 18, 8
 16. The third proportional of 4,16 isa) 64 b) 60c) 8d) 18
 17. 2a+1/2b-2 = 9/ 20a) 16, 10 b) Invertendo propertyc) 18, 8d) a/b= 4/11
 18. The ratio between two numbers is 8:5 the sum of the numbers is 26a) 8,18 b) 18, 8c) 10, 16d) 16, 10

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