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Post New Question
All Questions
+0
236075 Questions
0
22
1
+816
bisectors
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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maximum
Oct 13, 2023
0
37
1
+816
help with geometry
In the diagram, $\overline{CX}$ bisects $\angle ACB$. Find the ratio of the area of triangle $BCX$ to the area of triangle $ACX$. Express your answer as a common fraction.
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maximum
Oct 13, 2023
Oct 12, 2023
0
54
0
+1348
hard probability
A box contains 24 tiles. Each tile has certain properties:
Each tile is made of wood or plastic.
Each tile is red, yellow, or blue.
Each tile is a triangle, square, pentagon, or circle.
There is exactly one tile
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sandwich
Oct 12, 2023
0
60
1
+1348
Inequality plz help
Find all values of $x$ which do not satisfy $$1 \le 4-3x+5x < 10-8x.$$ Express your answer in interval notation.
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sandwich
Oct 12, 2023
+1
40
3
+7
Precalc Questions
1. Write a matrix representing the system of equations
x+2y+z=5
2x-y+2z=15
3x+y-z=8
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Sheneedshelp1
Oct 12, 2023
0
40
1
+18
Help would be greatly appreciated
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=5 then compute the area of triangle ABC.
Please explain your answer fully because I want to understand
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oventomato
Oct 12, 2023
0
26
1
+816
help triangles
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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maximum
Oct 12, 2023
0
73
0
+816
angle bisectors
In triangle $ABC$, let $I$ be the incenter of triangle $ABC$. The line through $I$ parallel to $BC$ intersects $AB$ and $AC$ at $M$ and $N$, respectively. If $AB = 5$, $AC = 5$, and $BC = 8$, then find the area of triangle $AMN$.
maximum
Oct 12, 2023
0
40
1
+816
points on a circle
Points $A$, $B$, and $C$ are on a circle such that $AB = 8$, $BC = 15$, and $AC = 12$. Find the radius of the circle.
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maximum
Oct 12, 2023
0
62
0
+816
help plz
In triangle $ABC$, $M$ is the midpoint of $\overline{BC}$, and $N$ is the midpoint of $\overline{AC}$. The perpendicular bisectors of $BC$ and $AC$ intersect at a point $O$ inside the triangle. If $\angle AOB = 90^\circ$, then find the measure
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maximum
Oct 12, 2023
0
16
1
+1678
need help with triangle
Help I'm stuck
In triangle $ABC$, $D$ lies on segment $\overline{BC}$ such that $\overline{AD}$ is an angle bisector. If $AB = 2$, $AC = 2$, and $BC = 3$, then find the ratio of the area of triangle $ABD$ to the area of triangle
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wiseowl
Oct 12, 2023
0
21
1
+1678
angle bisectors
In triangle $ABC$, $\angle ABC = 90^\circ$, and point $D$ lies on segment $BC$ such that $AD$ is an angle bisector. If $AB = 60$ and $BD = 40$, then find $AC$.
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wiseowl
Oct 12, 2023
0
53
1
+1678
quadratic expression
Find the minimum value of the expression $x^2+y^2+2x-4y+8+10x-12y$ for real $x$ and $y$.
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wiseowl
Oct 12, 2023
0
52
1
+1911
geometry
What is the radius of the circle inscribed in triangle $ABC$ if $AB = 12,$ $AC=14,$ $BC=20$? Express your answer in simplest radical form.
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tomtom
Oct 12, 2023
+1
71
0
+5
Solution: x+y=xy/18 using Simon's Favorite Factoring Tricks
Solution: x+y=xy/18 - find x, y where x, y ∈ ℤ+ using Simon's Favorite Factoring Tricks
18(x+y)=(xy)18/18
18x+18y=xy
18x+18y-xy=0
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rzevallosg
Oct 12, 2023
0
47
1
+1911
rectangles
The area of square $ABCD$ is 36 square inches. The area of rectangle $WXYZ$ is 24 square inches. If the two shapes have equal perimeters, what is the length of the longer side of rectangle $WXYZ$?
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tomtom
Oct 12, 2023
0
62
1
+1678
equation of line
Express the equation of the line passing through points $(1,7)$ and $(2,-3)$ in the form $ax+by=c$, where $a$, $b$ and $c$ are integers, the greatest common divisor of $a$ and $b$ is $1,$ and $c<0$.
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wiseowl
Oct 12, 2023
0
37
1
+1678
real numbers
The real numbers $a$ and $b$ satisfy $a - b = 1$ and $a^3 - b^3 = 1.$
(a) Find all possible values of $ab.$
(b) Find all possible values of $a + b.$
(c) Find all possible values of $a$ and $b.$
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wiseowl
Oct 12, 2023
0
27
1
+1348
help plz
I'm stuck on this
A right pyramid has a square base. The area of each triangular face is one-third the area of the square face. If the total surface area of the pyramid is $432$ square units, then what is the volume
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sandwich
Oct 12, 2023
0
15
1
+1348
question on palindromes
A palindrome is a number that is the same when read forwards and backwards, such as $43234$. Find the number of $4$-digit palindromes that are divisible by $5.$
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sandwich
Oct 12, 2023
0
47
0
+816
domain
If $f(x)$ is a function whose domain is $[-8,8]$, and $g(x)=f\left((x^2 - 2)/(x + 1)\right)$, then the domain of $g(x)$ is an interval of what width?
maximum
Oct 12, 2023
0
27
1
+4
correspondence?
In a single-file queue of n people with distinct heights, define a blocker to be someone who is either taller than the person standing immediately behind them, or the last person in the queue. For example, suppose that Ashanti has height a, Blaine has height
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tarrybrad
Oct 12, 2023
0
27
4
+90
Pls help on this problem.
Please help me solve the problem with steps, thank you.
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totalkoolnezz
Oct 12, 2023
0
44
1
+4
Algebra 2 mathwork
Brandy and Adriana went out to eat at a new restaurant in town. Brandy ordered 3 tacos and 2 burritos for $7.40. Adriana ordered 4 tacos and 1 burrito for $6.45. Set up a system of equations to model the situation. Determine the cost of one taco and one
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bingboy
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Hluvmath100
Oct 12, 2023
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