All Questions

Oct 2, 2026

+248

Geometry

If AB = 11, AC = 9, and AX = 6*sqrt(2), what is AZ?

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BlackoutMiIkshake 9 hours ago

Oct 1, 2026

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Sep 14, 2026

+930

Geometry

The longer leg of a right triangle is two times as long as the shorter leg. What is the area of this triangle?

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cooIcooIcooI17 Sep 14, 2026

+930

Geometry

In the diagram below, if AD=30, what is BC?

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cooIcooIcooI17 Sep 14, 2026

Sep 12, 2026

Sep 11, 2026

+930

Geometry

If \frac{AE}{DE} = 3, what is \frac{AD}{BC}?

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cooIcooIcooI17 Sep 11, 2026

+930

geometry

If ST = 2, QS = 4, and QT = 5, find PQ.

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cooIcooIcooI17 Sep 11, 2026

Sep 10, 2026

Sep 9, 2026

Sep 8, 2026

Sep 7, 2026

+1867

Geometry

In the diagram below, ABCD is a square with side length 1, and the area of triangle CEF is 1/2. Compute the area of triangle AEF.

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ABJeIIy Sep 7, 2026

Sep 5, 2026

Sep 4, 2026

+835

Geometry

The area of square ABCD is 36. E is a point on \overline{CD} such that CE=2ED. F is the intersection of AB and CD. Find [DEF].

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maximum Sep 4, 2026

+835

Geometry

In \triangle ABC, shown here, \overline{AB} and \overline{AC} have each been divided into four congruent segments. What fraction of triangle ABC is shaded? Express your answer as a common fraction.

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maximum Sep 4, 2026

+835

Geometry

In the diagram, BD = 2 \cdot CD and CF = FB. Find the length AE.

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maximum Sep 4, 2026

+835

Geometry

In the diagram, \triangle ABC \cong \triangle BFA. Find \frac{AB}{BC}.

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maximum Sep 4, 2026

+1042

Geometry

In the diagram below, we have DE = 3 \cdot EC and AB = DC = 20. Find the length FG.

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gnistory Sep 4, 2026

+1042

Geometry

Triangles ADE, CDE, and BCE are all equilateral triangles with area 1, and H is the midpoint of \overline{BC}. Find the area of the blue region.

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gnistory Sep 4, 2026

+1042

Geometry

Right triangle ABC has side lengths AB=1, BC = 3, and AC = \sqrt{10}. Square XYZW is inscribed in triangle ABC with X and Y on \overline{BC}, W on \overline{AC}, and Z on \overline{AB}. What is the area of the square?

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gnistory Sep 4, 2026

+1042

Geometry

We know \angle B=\angle C, BE=5, and AB=8. If [ACB]=80, what is [CED]?

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gnistory Sep 4, 2026

+1348

Geometry

Right triangles ABC, ADE, EFG, and GHC are all similar. Also, [ADE] = 1, [EFG] = 4, and [GHC] = 9. Find the area of the red region.

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AnswerscorrectIy Sep 4, 2026

+1348

Geometry

We know \angle B=\angle C. Given AB=50, BE=20, DA=35, and CE=51, find DE.

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AnswerscorrectIy Sep 4, 2026

+1348

Geometry

In triangle ABC, shown here, \overline{AB} and \overline{AC} have each been divided into three congruent segments. What fraction of triangle ABC is shaded? Express your answer as a common fraction.

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AnswerscorrectIy Sep 4, 2026

+1348

Geometry

In the diagram below, ADEF is a square with side length 4. If AC = 16, what is BD?

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AnswerscorrectIy Sep 4, 2026

Sep 3, 2026

Sep 2, 2026

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Aug 31, 2026

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Aug 27, 2026

Aug 26, 2026

Aug 25, 2026

+930

Geometry

In rectangle BCDF below, [ABE] = 2 and [BEF] = 3. Find [ACDE].

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cooIcooIcooI17 Aug 25, 2026

+930

Geometry

In rectangle BCDF below, [ABE] = 2 and [BEF] = 3. Find [BCDF].

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cooIcooIcooI17 Aug 25, 2026

+930

Geometry

In the diagram below, M is the midpoint of \overline{AB} and $\angle ACN \cong \angle XCN$.
Find MN.

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cooIcooIcooI17 Aug 25, 2026

+930

Geometry

D is on side \overline {AB} of \triangle ABC. We know $\triangle ABC \sim \triangle ACD$ and we know all the marked side lengths. What is the length AB?

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cooIcooIcooI17 Aug 25, 2026

+930

Geometry

In the diagram below, \overline{BC} and \overline{DE} are parallel. Find y.

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cooIcooIcooI17 Aug 25, 2026

Aug 24, 2026

+701

Geometry

In the diagram, \overline{AB} \parallel \overline{CD}. Select the two products of lengths that must be equal.

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Pythagorearn Aug 24, 2026

+133

Geometry

Find SR and QR. Enter them in the boxes below, in that order.

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Jyrgernry Aug 24, 2026

+133

Geometry

D is on side \overline {AB} of triangle ABC. We know \triangle ABC \sim \triangle ACD. What is the length AB?

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Jyrgernry Aug 24, 2026

+133

Geometry

In the diagram, if AC = 35, then what is AD?

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Jyrgernry Aug 24, 2026

+133

Geometry

In the diagram below, we have \overline{QR}\parallel\overline{ST}, and PT = 10. Find PR.

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Jyrgernry Aug 24, 2026

Aug 22, 2026

Aug 21, 2026

+133

Geometry

In rectangle ABCD, [ABE] = [BEF] = [BFC]. Compute AE/ED.

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Jyrgernry Aug 21, 2026

+133

Geometry

In rectangle ABCD, [AEP]/[DFP] = 5. Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

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Jyrgernry Aug 21, 2026

+133

Geometry

In the diagram, ABCD is a rectangle, BEFG is a square, and F lies on \overline{CE}. Find AD.

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Jyrgernry Aug 21, 2026

Aug 20, 2026

+248

Geometry

Find [YBC]/[ZYC].

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BlackoutMiIkshake Aug 20, 2026

+248

Geometry

In the diagram below, E lies on \overline{BD}, [ADP] = 3, [BCE] = 12, and [CDE] = 4. Compute [BCE].

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BlackoutMiIkshake Aug 20, 2026

+248

Geometry

Rectangle ADEH$ is divided into rectangles ABGH, BCFG, and CDEF. If AC = 15, GF = 20, [ABCH] = 8, and [CDEF] = 30, find [BCFG].

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BlackoutMiIkshake Aug 20, 2026

+248

Geometry

A point in a square is connected to the midpoints of its sides, dividing the square into four regions. The areas of three of the regions are 2, 2, and 2. Find the area of the fourth region.

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BlackoutMiIkshake Aug 20, 2026

+701

Geometry

In the diagram, PR = 12, QS = 10, [PQR] = 15, and [ARS] = 18. Find [AQR].

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Pythagorearn Aug 20, 2026

+701

Geometry

In the diagram below, we have BE = 7, AC = 3, and [CBDE]=15. What is [CDA]?

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Pythagorearn Aug 20, 2026

+701

Geometry

A square is divided into five rectangles, and all the rectangles have the same area. Given that [ABC] = 1, find the side length of the square.

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Pythagorearn Aug 20, 2026

+701

Geometry

Given that [ABC] = 10, find [BCD].

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Pythagorearn Aug 20, 2026

+930

Geometry

Triangle ABC is acute. Point D lies on \overline {AC} so that \overline {BD}\perp \overline {DE}, and point E lies on \overline {AB} such that \overline {CE}\perp\overline {BE}. Find the value of AE if CB = 10, PB = 20, and DB = 30.

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cooIcooIcooI17 Aug 6, 2026

+701

Geometry

Triangles RST and XYZ are congruent. Point P lies on \overline{ST}, and point W lies on \overline{YZ}. Select all the true statements.
If RP = WY, then RSP = XYT
If RP perp XW and ST perp RS, then RSP cong XWP
if read more ..

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Pythagorearn Aug 6, 2026

+701

Geometry

In the diagram, \overline{AD} bisects \angle BAC.
By adding one more condition, we can prove that triangles ABD and ACD are congruent. Which of the following could be that condition? Select all that apply.
AB read more ..

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Pythagorearn Aug 6, 2026

+701

Geometry

Triangle ABC is congruent to triangle DEF, but triangle ABC is not congruent to triangle DFE. Which of the following relationships cannot hold?
AB + BC = EF + DE
BC * EF = AD * BE
AC + AD = EF + BC read more ..

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Pythagorearn Aug 6, 2026

+701

Geometry

Let x be the measure of \angle DCE (in degrees) in the diagram below (not drawn to scale). Find $x.$

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Pythagorearn Aug 6, 2026

+1042

Geometry

A robot moved $10$ meters towards north. It then turned $44^\circ$ to its right and moved another $10$ meters. It then turned $68^\circ$ to its right and moved $20$ meters. It then turned $38\circ$ to its right and moved $30$ meters. Last, it turned read more ..

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gnistory Aug 6, 2026

+1042

Geometry

In triangle ABC, the angles \angle A, \angle B, \angle C form an arithmetic sequence. If \angle A + \angle B = 21^\circ, then what is \angle C, in degrees?

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gnistory Aug 6, 2026

+1042

Geometry

In the diagram, what is the measure of \angle ACB in degrees?

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gnistory Aug 6, 2026

+1348

Geometry

What is x in the diagram below?

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AnswerscorrectIy Aug 6, 2026

+1348

Geometry

Find x given the angle measures shown.

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AnswerscorrectIy Aug 6, 2026

+1348

Geometry

Given that \ell \parallel m, find \angle XYZ + \angle XZY.

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AnswerscorrectIy Aug 6, 2026

+1348

Geometry

Lines $AB$ and $CD$ intersect at a point $O$ in such a way that the measure of $\angle AOC$ is $3$ times the measure of angle $x$. What is the measure of $\angle AOB$?

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AnswerscorrectIy Aug 6, 2026

+1348

Geometry

Suppose instead of measuring an angle the "regular" way, we go around the "long" way, as shown in the diagram.
What is the measure of the "long" way around angle?

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AnswerscorrectIy Aug 6, 2026

Aug 5, 2026

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Jun 19, 2026

Jun 18, 2026

+1548

Math

Line \ell is shown below. The line y = 2x + k has a distance of 3 from line y = 5x + k. Find all possible values of k.

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learnmgcat Jun 18, 2026

+1548

Math

Given regular heptagon ABCDEFG, a circle can be drawn that is tangent to DC at C and to EF at F. What is radius of the circle if the side length of the heptagon is 1?

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learnmgcat Jun 18, 2026

+1548

Math

In equiangular octagaon EFGHIJKL, we know that EF = GH = IJ = KL = 1 and FG = HI = JK = LE = sqrt(2). Find the area of the octagon.

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learnmgcat Jun 18, 2026

Jun 17, 2026

Help with Math Logic: Calculating Winning Probabilities in Solo Strategy Games?

Hi everyone,
I am currently analyzing the mathematical patterns and probability distributions behind single-player puzzle levels to better understand game balancing. Specifically, I'm looking at how decision trees affect a player's winning probability read more ..

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tetrisgameaz Jun 17, 2026

Jun 16, 2026

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May 25, 2026

May 23, 2026

May 22, 2026

May 21, 2026

+990

help

Fill in the blanks to make the statement true. Each number can be used at most once.
The function f(x) = sqrt(___) - 1/(x - ___)^2 has domain [___, ___] and range [___, ___].

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booboo44 May 21, 2026

May 20, 2026

May 19, 2026

help

The average distance of Mercury from the Sun is 36 million miles. The distance varies by 7.5 million miles.
The minimum distance of Mercury from the Sun is ____ Text entry field 1 of 2 Enter answer here million miles, and the maximum read more ..

Bosco ●●

esthergalvez38 May 19, 2026

May 18, 2026

4*4

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Melo.100 May 18, 2026

May 16, 2026

May 15, 2026

+990

help

Fill in the blanks to make a true statement.
The quadratic y = ax^2 + bx + c is plotted above. If a = ___, b = ___, and c = ___, then the discriminant of the quadratic is ___.

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booboo44 May 15, 2026

+1056

help

Fill in the blanks to make a true statement.
The roots of the quadratic ___x^2 + ___x + ___ are ___ and ___.
Expanding (x + ___)(x + ___), we get x^2 + ___ x + ___.
Completing the square on read more ..

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Hi6942O May 15, 2026

May 14, 2026

+1056

help

Fill in the blanks to make a true statement.
The roots of ___x^2 + ___x + ___ are ___ and ___.
Expanding (x + ___)(x + ___), we get x^2 + ___ x + ___.
Completing the square on x^2 + ___x + ___, read more ..

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Hi6942O May 14, 2026

+1056

help

Find all numbers N between 800 and 900 for which the equation x^2 + 50x = N^2 has integer solutions.

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Hi6942O May 14, 2026

+990

help

Fill in the blanks, so that the resulting expression can be factored as the product of two linear expressions:
12xy
8x
-5y read more ..

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booboo44 May 14, 2026

May 13, 2026

+990

help

Fill in the blanks with rational numbers.
\frac{1}{\sqrt{2}} + \sqrt{5} + \sqrt{7} = ___ \sqrt{2} + ___ \sqrt{5} + ____ \sqrt{7} + ____ \sqrt{10} + ___ \sqrt{14} + ____ \sqrt{35} + ____ \sqrt{70}
\frac{1}{\sqrt{2}} + \sqrt{3} read more ..

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booboo44 May 13, 2026

+990

help

Fill in the blank with rational numbers
\frac{1}{2} + \sqrt{5} = ___ + ___ \sqrt{5}
\frac{1}{2} + \sqrt[3]{5} = ____ + ___ \sqrt[3]{5} + ___ \sqrt[3]{25}
\frac{1}{2} + \sqrt[3]{25} = ____ + ___ \sqrt[3]{5} + ___ \sqrt read more ..

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booboo44 May 13, 2026

+990

help

Fill in the blanks, so that all the quadratic equations have integer roots.

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booboo44 May 13, 2026

May 12, 2026

+1348

help

You are told that the quadratic expression Ax^2 + Bx + C factors into linear factors with integer coefficients. Which of the following quadratic expressions must also factor, into linear factors with integer coefficients? Select all that ap read more ..

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AnswerscorrectIy May 12, 2026

May 11, 2026

May 9, 2026

May 8, 2026

+990

help

The region R is shown below.
Which expressions have a minimum value, over all points (x,y) in R? Select all that apply.

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booboo44 May 8, 2026

May 7, 2026

+215

help

The region R is shown below. Find the smallest possible value of 5x + 9y over all points (x,y) in R.

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Boseo May 7, 2026

May 6, 2026

+215

help

Select all the points that satisfy y < 2x - 3.

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Boseo May 6, 2026

May 5, 2026

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