All Questions ⁺⁰230654 Questions

0

10

1

+819

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.</ read more ..

maximum Oct 13, 2023

0

17

1

+819

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. read more ..

maximum Oct 13, 2023

Oct 12, 2023

0

15

0

+1347

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 read more ..

sandwich Oct 12, 2023

0

21

1

+1347

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.

sandwich Oct 12, 2023

+1

6

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 read more ..

Sheneedshelp1 Oct 12, 2023

0

14

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 read more ..

oventomato Oct 12, 2023

0

14

1

+819

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 $BE$.

maximum Oct 12, 2023

0

31

0

+819

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

19

1

+819

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.

maximum Oct 12, 2023

0

19

0

+819

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 read more ..

maximum Oct 12, 2023

0

10

1

+1671

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 read more ..

wiseowl Oct 12, 2023

0

9

1

+1671

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 $AC$.

wiseowl Oct 12, 2023

0

13

1

+1671

quadratic expression

Find the minimum value of the expression $x^2+y^2+2x-4y+8+10x-12y$ for real $x$ and $y$.

wiseowl Oct 12, 2023

0

13

1

+1791

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.

tomtom Oct 12, 2023

+1

25

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 read more ..

rzevallosg Oct 12, 2023

0

13

1

+1791

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 $WXYZ$?

tomtom Oct 12, 2023

0

23

1

+1671

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 $c<0$.

wiseowl Oct 12, 2023

0

18

1

+1671

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 $b.$

wiseowl Oct 12, 2023

0

6

1

+1347

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 read more ..

sandwich Oct 12, 2023

0

9

1

+1347

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 $5.$

sandwich Oct 12, 2023

0

17

0

+819

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

13

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 read more ..

tarrybrad Oct 12, 2023

0

9

4

+90

Pls help on this problem.

Please help me solve the problem with steps, thank you.

totalkoolnezz Oct 12, 2023

0

21

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 read more ..

Hluvmath100 Oct 12, 2023

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