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Unformatted text preview: 38. Sample answer: The geometry occurs inside the
camera as the image is formed on the film.
Answers should include the following.
•
lens
film 2x 1
2(7) 1 or 15
46. The line goes through (3, 0) and (0,
30
m
0 3 or 1
y mx b
y 1x ( 3)
yx3
47.
y y1 m(x x1)
y ( 1) 2[x ( 1)]
y 1 2x 2
y 2x 1
PQ object • The triangles are similar because the SAS
Similarity Theorem holds. The congruent angles
are the vertical angles and the corresponding sides
are the congruent sides of the isosceles triangles.
39. Let x represent DF.
AC
DF ¬
10.5
x¬ AB
DE
6.5
8 48. 5 49. 10 5 15x
9x VW
WX R 70
70
56
7 5 Practice Quiz 2
EC
AE . 18
12 16
4 m
m 4
2 16m
12m PQT and PT
PQT
PRS. Then
PS
10
2x 1
10 4
2x 1 6
10
2x 1
14
2x 7 20x VZW ZW
YW . 30 6x 24
30 24
9x 54
x6
3x 6
3(6) 6 or 12
x4
6 4 or 10 45. RS QT, so 1 12(DB) 144
DB 12
AB AD DB
8 12 or 20
2. AB AD DB
20 4 DB
16 DB
EC
DE BC, so DB
AD
AE . lengths, MN OP.
X. So, 160
2 5 DB
8 LN LM
15
LN
12
NP . MO
5 or 3. NP
4 or 3. Thus,
LN
NP . Since the sides have proportional V 80
2 1. DE BC, so DB
AD 42. There is not enough information given to
determine whether MN is parallel to OP.
43. In order to show MN OP, we must show that Y and 1 Page 323 is not parallel to OP. XYW. Then VW
XW
3x 6
6
x4
5 40
2 The pattern is to add 5 then subtract 1.
The last number was obtained by adding 5, so the
next number is obtained by subtracting 1. So, it
will be 13 1 or 12. The next number is obtained
by adding 5, so it will be 12 5 or 17. LN LM
7
LN
9
NP . MO
7 or 1. NP
7 . Since
LN
NP , the sides are not proportional and MN Z 33
7 The numbers are multiplied by 2.
The next number will be multiplied by 2. So, it
will be 160 2 or 320. The next number will also
be multiplied by 2. So, it will be 320 2 or 640.
5
4
9
8
13
50. 0 41. LO LM MO
14 7 MO
7 MO
LP LN NP
16 9 NP
7 NP
In order to show MN OP, we must show that 44. VZ YX, so 26
7 20
2 Page 323 Maintain Your Skills LM
MO
LM
MO 19
7 The numbers increase by 7.
The next number will increase by 7. So, it will be
33 7 or 40. The next number will also increase
by 7. So, it will be 40 7 or 47. 84¬ 6.5x
12.9¬ x
40. B; let x be one of the two numbers that are the
same. Then x x 3x 180, so 5x 180 or
x 36. So, the numbers are 36, 36, and 108. The
answer is B. LM
MO
LM
MO 12
7 3). S 32 4m 16
32 16
12m 48
m4
3. XY XV VY
30 9 VY
21 VY
XZ XW WZ
18 12 WZ
6 WZ
In order to show YZ VW, we must show that QTP. So, PQ
.
PR XV
VY
XV
VY 28x 14
8x 14
8x
x 9
XW XV
3 XW
12
21 or 7 . WZ
WZ . VY
6 or 2. Thus,
XW
WZ so the sides are not proportional. YZ is not parallel to VW. 179 Chapter 6 ...
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Document
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, Geometry

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