Mate

1. 4
4
P
P
(A)
7
7
R
R
Y
Y
0
0
X
X
7
7
15
15
Q
Q
T
T

4 = 7 = Y
7 X 15

4 = 7 = 4X=7.7
7 X 4X=49
X=494
X=12.25

7 = Y
X = 15

4 = Y
7 = 15

4 (15) =7.Y
60=7Y
Y=60
7
* Y= 8.57 = 8.6

1. (B)
A
A

6
6
D
D
E
E
C
C
Y
Y
15
15
10
10
4
4
B
B
XX


X = 4 = 6
10 Y 15

X = 6
10 15

15X =60
X= 60 =4
15
X=4

4 = 6
Y 15

4.15=6Y
60=64
Y=60
6
Y=10

2. A
A
(A)
1616

20
20


C
C


Y
Y


X
X
D
D
B
B

5
5

F
F

E
E
3
3



BCII EF
AB = AC =BC
ED DF EP

20 = 16 = Y
5 X 3


20 = 1620 = Y
5 X 5 3

20X=5.16
X=80
20
X= 4

20.3 =5Y
60=5Y
Y=60
5
Y=12

2. (B)
D
D

Y
Y

X
X

E
E

6
6


9
9
1818



24
24
A
A
B
B




18 = 9
X 6

18.6 =9X
108=9X
X=108
9
X=12

AB = AC = BC
ED DC EC
24 = 18 = 9
Y X 6

24 = 9
Y6

24.6 = 9Y
144=9Y
Y=144
9
Y= 16

8
8
X
X
Y
Y
X
X
Z
Z
1
1
9
9
J
J
5
5
H
H
G
G

9 = X = Y
5 8 Z

9 = X
5 8

9.8 = 5X
72=5X
X=725
X=14.4

9 = Y
5 Z

AZ=5Y
Y= 9Z
5

Y + Z = X
14 8

9Z+Z
5 = 144
14 8

9Z+5Z
5 = 144
14 8

14Z
5 =14.4
14 8
1
14Z = 14.4
14.5 8

Z = 14.4
5 8

8Z = 14.4*5
8Z = 72
Z= 72
8
Z= 9
Y= 9Z
5
Y=9(9) = 81
5 5
Y=16.2

9 = 14.4 = 16.2 =1.8
58 9

X
X

1.6
1.6

2M
2M

9M
9M

2 = 1.6
9 X

2X = 9.1.6
2X=14.4
X=14.4
2 x=7.2



2.5M
2.5M
1.5M
1.5M
1.8M
1.8M
X
X...