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2023 UMD Math Competition Part I
#20
#20
Part of
2023 UMD Math Competition Part I
Problems
(1)
A strip is
Source: UMD 2023 I #20
10/20/2023
A strip is defined as the region between two parallel lines; the width of the strip is the distance between the two lines. Two strips of width
1
1
1
intersect in a parallelogram whose area is
2.
2.
2.
What is the angle between the strips?
a
.
1
5
∘
b
.
3
0
∘
c
.
4
5
∘
d
.
6
0
∘
e
.
9
0
∘
\mathrm a. ~ 15^\circ\qquad \mathrm b.~30^\circ \qquad \mathrm c. ~45^\circ \qquad \mathrm d. ~60^\circ \qquad \mathrm e. ~90^\circ
a
.
1
5
∘
b
.
3
0
∘
c
.
4
5
∘
d
.
6
0
∘
e
.
9
0
∘
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