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Post New Question
All Questions
+0
237262 Questions
0
35
0
+1266
Geometry
Quadrilateral $ABCD$ is a parallelogram. Let $E$ be a point on $\overline{AB},$ and let $F$ be the intersection of lines $DE$ and $BC.$ The area of triangle $EAD$ is $9.$ If $AE:EB = 3:4$ and the height of parallelogram $ABCD$ is $10$,
read more ..
Akhain1
Apr 13, 2024
0
44
0
+35
3D Geometry
Problem 1.
A tetrahedron is considered trirectangular if one of the vertices forms 3 90-angles. What is the volume of a trirectangular tetrahedron ABCD if one its faces is a 8,10,12 triangle?
Problem 2.
Let ABCD
read more ..
Mather459
Apr 13, 2024
+1
42
1
+1266
Geometry
In triangle ABC, point X is on side BC such that AX=13,BX=10,CX=10, and the circumcircles of triangles ABX and ACX have the same radius. Find the area of triangle ABC.
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Akhain1
Apr 13, 2024
+1
23
1
+302
Please Help, Thank you if you help or try :)
What is the sum of the series ? (Note: The number is in Fibonacci Sequence)
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aboslutelydestroying
Apr 13, 2024
Apr 12, 2024
0
33
0
+1266
Geometry
In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 8$, $BC = 3$, $CE = 1$, $AC = 19$ and $AB = 13$, then what is $DE$?
Akhain1
Apr 12, 2024
0
31
0
+1266
Geometry
In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $CE =3$ and $DF = 3$, then what is $BD$?
Akhain1
Apr 12, 2024
0
61
0
+1266
Geometry
In triangle $PQR,$ $M$ is the midpoint of $\overline{QR}.$ Find $PM.$
PQ = 5, PR = 8, QR = 11
Akhain1
Apr 12, 2024
0
38
0
+1266
Geometry
In right triangle $ABC,$ $\angle C = 90^\circ$. Median $\overline{AM}$ has a length of 1, and median $\overline{BN}$ has a length of 1. What is the length of the hypotenuse of the triangle?
Akhain1
Apr 12, 2024
0
46
0
+1266
Geometry
In rectangle $WXYZ$, $A$ is on side $\overline{WX}$, $B$ is on side $\overline{YZ}$, and $C$ is on side $\overline{XY}$. If $AX = 15$, $BY = 20$, $\angle ACB= 60^\circ$, and $CY = 3 \cdot CX$, then find $AB$.
Akhain1
Apr 12, 2024
0
26
1
+85
Hard Geometry
Very few people have solved these problems
1.
2.
<#>
read more ..
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Akhaim1
Apr 12, 2024
0
33
0
+1266
Algebra
Compute the sum
\frac{1}{\sqrt{36} + \sqrt{39}} + \frac{1}{\sqrt{36} + \sqrt{45}} + \frac{1}{\sqrt{39} +\sqrt{96}}
Akhain1
Apr 12, 2024
0
37
1
+1266
Algebra
Find the value of
\cfrac{1}{1 + \cfrac{1}{4 + \cfrac{1}{1 + \cfrac{1}{4}}}}.
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Akhain1
Apr 12, 2024
0
35
0
+1266
Algebra
Let $a$ and $b$ be complex numbers. If $a + b = 4$ and $a^2 b + b^2 a = 6,$ then what is $a^3 + b^3?$
Akhain1
Apr 12, 2024
0
37
0
+1266
System
Find the ordered quintuplet (a,b,c,d,e) that satisfies the system of equations
a & + & 2b & + & 3c & + & 4d & + & 5e & = & 47, \\
2a & + & 3b & + & 4c & + & 5d & + & e
read more ..
Akhain1
Apr 12, 2024
0
30
1
+965
Geometry
In triangle $ABC$, let the perpendicular bisector of $BC$ intersect $BC$ and $AC$ at $D$ and $E$, respectively. If $BC = 20$ and $\angle C = 15^\circ$, then find the length of $BE$.
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magenta
Apr 12, 2024
0
34
1
+965
Geometry
In triangle $ABC$, $\angle ABC = 90^\circ$, and $D$ is on side $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC$. If $AB = 4,$ $BC = 3$, and $AC = 5,$ then find the area of $\triangle ADC$. Round your answer to the nearest integer.
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magenta
Apr 12, 2024
0
22
1
+1766
Algebra
Find t if the expansion of the product of 2x^3 + x^2 - 3x + 5 and x^4 - 7x^3 + tx^2 - 11x + 15 has no x^2 term.
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blackpanther
Apr 12, 2024
0
47
0
+1766
Algebra
In class, we derived that
\frac{1}{n(n + 1)} = \frac{1}{n} - \frac{1}{n + 1}.
Fill in the blanks to make a true equation:
\frac{5x}{(x - 1)(x^2 + 2)(x + 7)^3)} = \frac{A}{x - 1} + \frac{Bx + C}{x^2 + 2} + \frac{D}{x + 7}
read more ..
blackpanther
Apr 12, 2024
Apr 11, 2024
0
36
1
+1766
Algebra
Compute
\frac{1}{1 \times 4} + \frac{1}{4 \times 7} + \frac{1}{7 \times 10}
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blackpanther
Apr 11, 2024
+1
45
3
+35
Tricky problems
Problem 1.
Find the number of positive integer pairs (x,y) that satisfy xy ≤ 35.
Problem 2.
Find the number of positive integer pairs (x,y) that satisfy 20x ≥ 24y and x < 360.
read more ..
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Mather459
Apr 11, 2024
0
23
1
+1766
Algebra
Let
a + ar + ar^2 + ar^3 + \dotsb
be an infinite geometric series. The sum of the series is $4.$ The sum of the cubes of all the terms is $10.$ Find the common ratio.
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blackpanther
Apr 11, 2024
0
37
2
+81
Geometry problem, need help fast!
A circle is inscribed into a right triangle. From the center of the circle a perpendicular is dropped on the hypotenuse, dividing the hypotenuse into two segments of length 12 and 5. What is the sum of the legs of the triangle?
I did
read more ..
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moneydude242
Apr 11, 2024
0
32
1
+1729
Algebra
Let a and b be the roots of the quadratic 2x^2 - 8x + 7 = x^2 + 15x + 23. Compute a^4 + b^4.
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parmen
Apr 11, 2024
0
30
1
+1729
Algebra
Let a and b be the roots of the quadratic x^2 - 5x + 3 = 2x^2 + 15x - 10. Find the quadratic whose roots are a^2 + a + 1 and b^2 + b + 1.
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parmen
Apr 11, 2024
0
45
1
+818
Algebra
Let a and b be the solutions to 7x^2 + x - 5 = 6x^2 - 11x - 2. Compute (a - 4) + (b - 4).
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maximum
Apr 11, 2024
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