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Post New Question
All Questions
+0
236246 Questions
0
7
1
+1552
Geometry
In triangle ABC, the angle bisector of angle BAC meets BC at D, such that AD = AB. Line segment AD is extended to E, such that angle DBE = angle BAD = 17 degrees. Find angle ABD.
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blackpanther
Sep 23, 2024
0
12
0
+1552
geometry
In triangle ABC, angle ACB = 90 degrees. Let H be the foot of the altitude from C to side AB.
If BC = 1 and AH = 2, find CH.
blackpanther
Sep 23, 2024
0
7
4
+842
Algebra
Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$
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RedDragonl
Sep 23, 2024
0
11
0
+1504
Geometry
Let ABC be a triangle, and let its angle bisectors be AD, BE, and CF which intersect at I. If DI=3, BD=4 and BI=6 then compute the area of triangle BID.
kittykat
Sep 23, 2024
0
7
1
+925
Geometry
Let $WXYZ$ be a trapezoid with bases $\overline{XY}$ and $\overline{WZ}$. In this trapezoid, $\angle ZXW = 120^\circ$, $\angle XWZ = 60^\circ$, and $\angle XYZ = 120^\circ$. Find $\angle YXZ$, in degrees.
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AnswerscorrectIy
Sep 23, 2024
0
12
0
+925
Geometry
In trapezoid $PQRS,$ $\overline{PQ} \parallel \overline{RS}$. Let $X$ be the intersection of diagonals $\overline{PR}$ and $\overline{QS}$. The area of triangle $PQX$ is $2,$ and the area of triangle $RSX$ is $2.$ Find the area of trapezoid
read more ..
AnswerscorrectIy
Sep 23, 2024
0
11
1
+1375
Geometry
Donatello starts with a marble cube. He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length. If the side length of the original cube is $6$, then find the volume of the resulting
read more ..
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learnmgcat
Sep 23, 2024
0
16
0
+1375
Geometry
In triangle $ABC$, $AB = 7$, $AC = 17$, and the length of median $AM$ is $12$. Find the area of triangle $ABC$.
learnmgcat
Sep 23, 2024
0
9
0
+657
Geometry
Semicircles are constructed on AB, AC, and BC. A circle is tangent to all three semicircles. Find the radius of the circle.
cooIcooIcooI17
Sep 23, 2024
0
8
0
+657
Geometry
In the diagram below, we have $AB = 24$ and $\angle ADB =90^\circ$. If $\sin A = \frac13$ and $\sin C = \frac12$, then what is $BC$?
cooIcooIcooI17
Sep 23, 2024
0
15
0
+657
Geometry
In triangle $ABC,$ $BC = 32,$ $\tan B = \frac{3}{5},$ and $\tan C = \frac{1}{4}.$ Find the area of the triangle.
cooIcooIcooI17
Sep 23, 2024
0
10
5
+23
Probability Question Help
Let Three subsets A, B, C of S are chosen at random.
(a) Find the probability that
(b) Find the probability that
Can anyone use complete sentences and explain all steps to the solution? Help would
read more ..
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Halplz
Sep 23, 2024
Sep 22, 2024
0
9
0
+348
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 $AB$.
MEMEG0D
Sep 22, 2024
-1
18
0
+348
Geometry
Points $A$ and $B$ are on side $\overline{YZ}$ of rectangle $WXYZ$ such that $\overline{WA}$ and $\overline{WB}$ trisect $\angle ZWX$. If $WX = 2$ and $XY = 3$, then what is the area of rectangle $WXYZ$?
MEMEG0D
Sep 22, 2024
-1
14
0
+348
Geometry
In triangle $ABC,$ $AB = 3,$ $AC = 5,$ $BC = 7,$ and $D$ lies on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC.$ Find $\cos \angle BAD.$
MEMEG0D
Sep 22, 2024
-1
7
1
+348
Geometry
What are the coordinates of the points where the graphs of f(x)=x^3 + x^2 - 3x + 5 and g(x) = x^3 + 2x^2 intersect?
Give your answer as a list of points separated by commas, with the points ordered such that their -coordinates
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MEMEG0D
Sep 22, 2024
-1
12
0
+411
Counting
I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if there must be a mathematics textbook exactly in the middle, and all the psychology textbooks are
read more ..
MeIdHunter
Sep 22, 2024
-1
12
0
+411
Counting
Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are next to each other, and all the adults are next to each other? (Two seatings are considered the same if
read more ..
MeIdHunter
Sep 22, 2024
-1
11
1
+411
Coutning
At a meeting, $5$ scientists, $2$ mathematicians, and a journalist are to be seated around a circular table. How many different arrangements are possible if each scientist must sit next to a mathematician? (Two seatings are considered equivalent
read more ..
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MeIdHunter
Sep 22, 2024
-1
4
1
+303
Algebra
Fill in the blanks to make a quadratic whose roots are $1$ and $-1.$
x^2 + ___ x + ___
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bIueb3rry
Sep 22, 2024
-1
9
1
+303
Algebra
Find the largest value of $x$ such that $3x^2 + 17x + 15 = 2x^2 + 21x + 12 - 5x^2 + 17x + 34.$
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bIueb3rry
Sep 22, 2024
Sep 21, 2024
-1
9
0
+303
Algebra
Find the number of ordered pairs $(a,b)$ of integers such that
\frac{a + 2}{a + 1} = \frac{b}{8}.
bIueb3rry
Sep 21, 2024
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