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Ibrahin097YT
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Ibrahin097YT
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15 Questions
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Geometry
In parallelogram EFGH, let M be the point on \overline{EF} such that FM:ME = 1:1, and let N be the point on \overline{EH} such that HN:NE = 1:1. Line segments \overline{FH} and \overline{GM} intersect at P, and line segments \overline{FH} and GN intersect
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Ibrahin097YT
15.05.2025
-1
5
1
+53
Geometry
A rectangle in the coordinate plane is shown below. A line with slope 2 splits this rectangle into two regions with equal area. What is the y-intercept of this line?
The rectangle has coordinates (-1,-1), (-1,1), (1,1),
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Ibrahin097YT
13.05.2025
-1
6
1
+53
Geometry
Let $O$ be the origin. Points $P$ and $Q$ lie in the first quadrant. The slope of line segment $\overline{OP}$ is $11,$ and the slope of line segment $\overline{OQ}$ is $13.$ If $OP = OQ,$ then compute the slope of line segment $\overline{PQ}.$
Note:
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Ibrahin097YT
13.05.2025
-1
3
1
+53
Geometry
A line and a circle intersect at $A$ and $B,$ as shown below. Find the distance between $A$ and $B$.
The circle is x^2 + y^2 = 1, and the line is y = x.
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Ibrahin097YT
13.05.2025
0
2
1
+53
Geometry
Chords UV, WX, and YZ of a circle are parallel. The distance between chords UV and WX is 1, and the distance between chords WX and YZ is also 1. If UV =6 and YZ = 4, then find WX.
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Ibrahin097YT
13.05.2025
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