Everything Maths Grade 10

15. a)A^= 4 q+ 121◦
    b) 18 ◦
    16. a)K^ = 9 b+ 122◦
    b)^163
    Exercise 7 – 8:


16. a)straight angle
    b)obtuse angle
    c)acute angle
    d)right angle
    e)Reflex angle
    f)obtuse angle
    g)straight angle
    h)reflex angle


17. a)False
    b)True
    c)True
    d)False
    e)True
    f)True
    g)True
    h)True
    i)False
    j)False


18. a)AB∥CD
    b)MN∥OP
    c)GH∥KLandGK∥HL


19. a)a = 107°; b = 73°; c =
    107 °; d= 73°
    b)a=b=c=d= 80°
    c)a= 50°; b= 45°; c= 95°; d=
    85 °


20. a)x^= 45◦
    b) 45 ◦
    c)^r= 135◦
    d) 45 ◦
    e)p^= 45◦
    f)parallel
    6.diagram B
    7.diagram A
    8.not enough information
    9.(△V W U△Y ZX), reason: SSS


21. a)△ABC△DEF
    b)△GHI△JKL
    c)△MNO△RP Q
    d)△QRSnot congruent△T UV


22. a)4,24 cm
    b)12 cm
    c)7,28 cm
    d)40 mm


23. a) 25 °
    b) 145 °
    c)x= 10andy=12,5
    d) 60 °
    e) 36 °
    f)x= 6andy= 10
    14.x=2,75 andy= 30°
    15.kite

16.rhombus, parallelogram, kite, trapezium

and quadrilateral

17.x= 15◦

18. a)ACDF,ABEFandBCDE
    b)ACDF,ABEF,BCDEand
    BCEF
    c)ACEFandBCDF
    d)ABEFandBCDE
    19.T S
    20.ZYandV X


19. a) 39 ◦
    b)△DECjjj △DAB


20. a) 98 ◦
    b)△QMNjjj △QRP


21. 5


22. 9
    25.no solution


23. a)P R=z 4 1
    b)z= 12


24. a) 8 b+ 119◦
    b)^192


25. a) 24 d+ 180◦
    b)^203
    29.a= 5andb= 12


26. b)rhombus
    c) 44 °

8 Analytical geometry

Exercise 8 – 1:

1.(3; 3)

2.A(3;4),B(3;3),C(3;4),D(5;3)andE(5;4).

3.E

4.B

5.shape Z

6.shape Z

Exercise 8 – 2:

1.6,71

2.2,24

3.x= 1

4.y=3,5

5. a)
   p
   29
   b)
   p
   52
   c)
   p
   17


6. a)x= 3orx= 9

b)y= 3ory= 5

7.p= 3orp= 9

Exercise 8 – 3:

1. a) 119
   b)^118

c)^43

2.0,5

3.1,5

4. a) 310
   b) 5


5. 4
   6. 3

Exercise 8 – 4:

1. a)parallel
   b)neither
   c)perpendicular


2. a)collinear
   b)collinear
   c)not collinear
   3.y= 2 x+0,5

4.y=0,5x0,5

5.^12
6. 6
7.y=x 2
8.y=x+1,5
9. 4
10. 2
11. y=x+ 2
12. y= 2x1,5
13. 3
14. 2
15.0,5
16.0,5
17. 6
18. 32
19. b)42,5 units
20. b)(3; 13)
c)y= 2x+ 12

Exercise 8 – 5:

Solutions 509