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Post New Question
All Questions
+0
233097 Questions
0
2
1
+529
Geometry
In triangle $ABC,$ $\angle B = 90^\circ.$ Point $X$ is on $\overline{AC}$ such that $\angle BXA = 90^\circ,$ $AX = 5,$ and $CX = 5$. What is $BX$?
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magenta
Jun 3, 2024
0
1
1
+529
Geometry
In a certain regular polygon, the measure of each interior angle is $2$ times the measure of each exterior angle. Find the number of sides in this regular polygon.
NotThatSmart
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magenta
Jun 3, 2024
0
2
1
+529
Geometry
A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = \frac{3}{2},$ then find the side length of the hexagon.
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magenta
Jun 3, 2024
-1
1
2
+1309
Counting
You are given the 4 x 4 grid below.
(a) Find the number of ways of placing 8 counters in the squares (at most one counter per square), so that each row contains exactly two counters.
(b) Find the number of ways
read more ..
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ABJeIIy
Jun 3, 2024
-1
2
1
+1309
Counting
In how many ways can we distribute 13 pieces of identical candy to 5 kids, if the two youngest kids are twins and insist on receiving at least four pieces each?
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ABJeIIy
Jun 3, 2024
-1
2
1
+1309
Counting
In how many ways can three pairs of siblings from different families be seated in two rows of three chairs, if siblings may sit next to each other in the same row, but no child may sit directly in front of their sibling?
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ABJeIIy
Jun 3, 2024
-1
3
1
+1309
Counting
A coin is tossed $12$ times. How many different sequences of tosses could there have been, if the number of heads was at least $5?$
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ABJeIIy
Jun 3, 2024
-1
2
1
+1309
Counting
Catherine rolls a standard $6$-sided die six times. If the product of her rolls is $2000,$ then how many different sequences of rolls could there have been? (The order of the rolls matters.)
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ABJeIIy
Jun 3, 2024
-1
2
1
+1309
Counting
We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and
read more ..
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ABJeIIy
Jun 3, 2024
-1
4
0
+1309
Counting
We call a number cozy if every digit in the number is either even or next to an even digit. For example, a number is cozy if every digit in the number is either a 2 or next to a 2. For example, the number 222, 72, 45, and 810 and
read more ..
ABJeIIy
Jun 3, 2024
0
2
1
+752
Algebra
If $n$ is a positive integer, a $3$-partition of $n$ is a list of powers of $3$, arranged in order from greatest to least, whose sum is $n.$ For example, there are three $3$-partitions of $6,$ namely $3-3, 3-1-1-1$ and $1-1-1-1-1-1.$ How many different
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learnmgcat
Jun 3, 2024
0
1
3
+752
Algebra
Consecutive positive even integers are sorted into $100$ groups. Group $1$ includes $2,$ $4$ and $6.$ Group $2$ includes $8,$ $10,$ $12$ and $14.$ Group $3$ includes $16,$ $18,$ $20,$ $22$ and $24.$ Each successive group has one additional number in it
read more ..
NotThatSmart
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learnmgcat
Jun 3, 2024
0
1
1
+752
Algebra
Amos counts out loud by six beginning with $0.$ Sarah counts out loud by three also beginning with $0.$ Between $0$ and $100$ inclusive, how many of the numbers do both Sarah and Amos say out loud?
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learnmgcat
Jun 3, 2024
0
1
1
+516
Geometry
Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 66^\circ$, then what is $\angle HCA$ in degrees?
NotThatSmart
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RedDragonl
Jun 3, 2024
0
3
1
+752
Algebra
If $a$ and $b$ are positive integers for which $ab - 3a + 4b = 131$, what is the minimal possible value of $|a - b|$?
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learnmgcat
Jun 3, 2024
0
1
1
+752
Algebra
Let $m$ be a real number. If the quadratic equation $x^2+mx+4 = 2x^2 + 17x + 8$ has two distinct real roots, then what are the possible values of $m$? Express your answer in interval notation.
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learnmgcat
Jun 3, 2024
0
4
0
+635
Geometry
In the diagram below, D is a point on segment CE such that segments AD and BE are parellel and point A is not on segment BC. Line segments AD and BC intersect at point P.
If angle CAD = 67 degrees, then what is angle
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Hi6942O
Jun 3, 2024
0
4
1
+635
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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Hi6942O
Jun 3, 2024
0
2
1
+29
Trigonometry/geometry help
In triangle ABC, we know the following:
Find .
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dplostthegame
Jun 3, 2024
0
3
1
+635
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.
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Hi6942O
Jun 3, 2024
0
2
1
+635
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.
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Hi6942O
Jun 3, 2024
0
3
1
+516
Algebra
Find all $x$ such that both $2x$ and $3x-7$ are in the interval $(-1,12)$.
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RedDragonl
Jun 3, 2024
0
2
1
+516
Algebra
Find all $x$ such that $1-3x < x + 8 \le 7-x$. Give your answer in interval notation.
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RedDragonl
Jun 3, 2024
0
3
1
+516
Algebra
Find all $z$ such that neither $2+z-5z$ nor $2-z+8z$ is in the interval $(-7,13]$. Express your answer as an interval or as a union of intervals.
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RedDragonl
Jun 3, 2024
0
2
1
+516
Algebra
Find all $w$ so that neither $-2(6+2w)\le -16 + 7w$ nor $-3w\ge 18 - 5w + 3$.
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RedDragonl
Jun 3, 2024
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