Problems 31-40 refer to the partially completed table below of the 10 basic solutions to the e-system x 1 + x 2 + s 1 = 24 2 x 1 + x 2 + s 2 = 30 4 x 1 + x 2 + s 3 = 48 x 1 x 2 s 1 s 2 s 3 A 0 0 24 30 48 B 0 24 0 6 24 C 0 30 − 6 0 18 D 0 48 − 24 − 18 0 E 24 0 0 − 18 − 48 F 15 0 9 0 − 12 G 0 0 H 0 0 I 0 0 J 0 0 In the basic solution C , which variables are basic?
Problems 31-40 refer to the partially completed table below of the 10 basic solutions to the e-system x 1 + x 2 + s 1 = 24 2 x 1 + x 2 + s 2 = 30 4 x 1 + x 2 + s 3 = 48 x 1 x 2 s 1 s 2 s 3 A 0 0 24 30 48 B 0 24 0 6 24 C 0 30 − 6 0 18 D 0 48 − 24 − 18 0 E 24 0 0 − 18 − 48 F 15 0 9 0 − 12 G 0 0 H 0 0 I 0 0 J 0 0 In the basic solution C , which variables are basic?
Solution Summary: The author explains the basic variables of the e-system (C).
Problems 31-40 refer to the partially completed table below of the
10
basic solutions to the e-system
x
1
+
x
2
+
s
1
=
24
2
x
1
+
x
2
+
s
2
=
30
4
x
1
+
x
2
+
s
3
=
48
x
1
x
2
s
1
s
2
s
3
A
0
0
24
30
48
B
0
24
0
6
24
C
0
30
−
6
0
18
D
0
48
−
24
−
18
0
E
24
0
0
−
18
−
48
F
15
0
9
0
−
12
G
0
0
H
0
0
I
0
0
J
0
0
In the basic solution
C
, which variables are basic?
CVE, AVM, AC, ¬SA¬ME
A Fitch Style proof for this argument
13:26
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←
Robert F. Blitzer - Thinkin...
0,04
61
KB/d
目
polygons to create a fraudulent tessellation with discrepancies that
are too subtle for the eye to notice. In Exercises 45-46, you will use
mathematics, not your eyes, to observe the irregularities.
B
A
45. Find the sum of the angle measures at vertex A. Then
explain why the tessellation is a fake.
46. Find the sum of the angle measures at vertex B. Then explain
why the tessellation is a fake.
=et
at
If
se
Fic
SECTION 10.3 Polygons, Perimeter, and Tessellations 645
61. I find it helpful to think of a polygon's perimeter as the
length of its boundary.
62. If a polygon is not regular, I can determine the sum of the
measures of its angles, but not the measure of any one of its
angles.
63. I used floor tiles in the shape of regular pentagons to
completely cover my kitchen floor.
In Exercises 64-65, write an algebraic expression that represents
the perimeter of the figure shown.
is
be
64.
le
a
b
C
2/
If
se
ny
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