All Questions ⁺⁰236009 Questions

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+667

Geometry

E is a point on side \overline{CD} of square ABCD. The extensions of $\overline {AD}$ and $\overline {BE}$ intersect at $F.$ Find $DF.$

siIviajendeukie Dec 20, 2024, 9:50:10 PM

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+667

Geometry

In the diagram below, we have \overline{MN}\parallel\overline{PQ}, and $PN = 24.$ Find $OP.$

siIviajendeukie Dec 20, 2024, 9:40:54 PM

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+667

Geometry

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

siIviajendeukie Dec 20, 2024, 9:39:49 PM

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+363

Geometry

Which triangle is similar to triangle ABC?

MeIdHunter Dec 20, 2024, 9:21:45 PM

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+363

Geometry

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

MeIdHunter Dec 20, 2024, 9:21:06 PM

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+399

Counting

A regular hexagon has a perimeter of $p$ (in length units) and an area of $A$ (in square units). If $A = 3,$ then find the side length of the hexagon.

crimefightingvigiI Dec 20, 2024, 6:00:36 PM

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+399

Counting

Two regular pentagons and a regular decagon, all with the same side length, can completely surround a point, as shown.
An equilateral triangle, a regular dodecagon, and a regular -gon, all with the same side length, also completely read more ..

crimefightingvigiI Dec 20, 2024, 6:00:22 PM

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+399

Counting

The number of diagonals in a certain regular polygon is equal to $2$ times the number of sides. How many sides does this polygon have?

crimefightingvigiI Dec 20, 2024, 6:00:01 PM

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+976

Algebra

Evaluate the infinite geometric series
0.4 + 0.036 + 0.0000324 + ...
Express your answer as a fraction with integer numerator and denominator.

Hi6942O Dec 20, 2024, 5:59:27 PM

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+976

Algebra

Levans writes a positive fraction in which the numerator and denominator are integers, and the numerator is 2 greater than the denominator. He then writes several more fractions. To make each new fraction, he increases both the numerator and the denominator read more ..

Hi6942O Dec 20, 2024, 5:59:12 PM

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+976

Algebra

Find all values of $x$ such that $x^2 - 5x + 4 = -x^2 - 25x - 14$. If you find more than one value, then list your solutions, separated by commas.

Hi6942O Dec 20, 2024, 5:58:58 PM

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+39

Number Theory Problem

If A, B, and C represent three distinct digits from 1 to 9 and they satisfy the following equations, what is the value of the sum A + B + C? (In the equation below, AA represents a two-digit number both of whose digits are A) read more ..

jilin73 Dec 20, 2024, 5:49:06 PM

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+846

Geometry

In rectangle ABCD, [ABE] = [BEF] = [BFC]. Compute \frac{AE}{ED}.

magenta Dec 20, 2024, 4:58:57 PM

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+893

Geometry

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

AnswerscorrectIy Dec 20, 2024, 4:57:37 PM

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+893

Geometry

In the diagram, ABCD is a rectangle, and BEFG is a square. Find AD.

AnswerscorrectIy Dec 20, 2024, 4:56:38 PM

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+893

Geometry

In the diagram, XY = 2\cdot AX = 2\cdot YB and $\dfrac{AZ}{BX} = \dfrac{2}{5}$. Find $\dfrac{[YBC]}{[ZYC]}$.

AnswerscorrectIy Dec 20, 2024, 4:53:21 PM

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+893

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 labelled. Find the area of the fourth region.

AnswerscorrectIy Dec 20, 2024, 4:50:51 PM

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+785

Geometry

In the diagram, WY = 12, XZ = 10, [AWX] = 12, and $[AYZ] = 12$. Find $[AXY]$.

gnistory Dec 20, 2024, 4:49:10 PM

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+785

Geometry

In the diagram, BE = 7, AB = 7, and $[CBDA]=7.$ What is $[CDA]?$

gnistory Dec 20, 2024, 4:48:22 PM

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+785

Geometry

In triangle ABC, [ADE] = 4, $[ABE] = 4,$ and $[CDE] = 4.$ Compute $[BCE].$

gnistory Dec 20, 2024, 4:44:22 PM

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+785

Geometry

A rectangle is divided into four small rectangles as shown. Three of the small rectangles are labelled with their area. What is the area of the fourth rectangle?

gnistory Dec 20, 2024, 4:42:49 PM

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+1310

Geometry

A rectangle is divided into four small rectangles as shown. Three of the small rectangles are labelled with their perimeter. What is the perimeter of the fourth rectangle?

learnmgcat Dec 20, 2024, 4:40:24 PM

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+1310

Geometry

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

learnmgcat Dec 20, 2024, 4:38:21 PM

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+1310

Geometry

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

learnmgcat Dec 20, 2024, 4:36:49 PM

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+1310

Geometry

Triangle ABC has area 16. Find length AB.
Also, AC = 12 and BC = 6.

learnmgcat Dec 20, 2024, 4:25:09 PM

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