MeIdHunter

97 Questions
19 Answers

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Geometry

The centroid of triangle ABC is G. Find x.

MeIdHunter 25 dic 2024, 16:35

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Geometry

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. Find [ABCD].

MeIdHunter 25 dic 2024, 16:33

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Geometry

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. Compute \frac{x}{y}.

MeIdHunter 25 dic 2024, 16:33

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Geometry

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. If $[BDQ] = 40,$ and $[CDQ] = 24,$ find $[ABD].$

MeIdHunter 25 dic 2024, 16:32

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Geometry

ABCD is a parallelogram. Find DF.

MeIdHunter 24 dic 2024

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Geometry

ABCD is a square. Find AM.

MeIdHunter 24 dic 2024

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Geometry

Shown below is rectangle EFGH. Its diagonals meet at Y. Let $X$ be the foot if an altitude is dropped from $E$ to $\overline{FH}$. If EX = 24 and $GY = 30$, find the perimeter of rectangle $EFGH$.

MeIdHunter 24 dic 2024

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Geometry

Equilateral triangle APQ is inscribed inside square ABCD. Find the area of square ABCD.

MeIdHunter 24 dic 2024

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Geometry

In triangle ABC, the orthocenter H lies on altitude $\overline{AD}.$ Find $\frac{AH}{HD}.$

MeIdHunter 22 dic 2024

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Geometry

Find the ratio of the area of the red region to the area of the yellow region. Enter your answer as a fraction.

MeIdHunter 22 dic 2024

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Geometry

Point H is the orthocenter of triangle ABC. If \angle BAC=118^\circ, what is \angle ABC in degrees?

MeIdHunter 22 dic 2024

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Geometry

The centroid of triangle ABC is G. Given $AD = 15$ and $CE = 20,$ find the area of triangle $ABC.$

MeIdHunter 22 dic 2024

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Geometry

Which triangle is similar to triangle ABC?

MeIdHunter 20 dic 2024

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Geometry

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

MeIdHunter 20 dic 2024

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Counting

Four children and four adults are to be seated at a circular table. In how many different ways can they be seated if all the children are together? (Two seatings are considered the same if one can be rotated to form the other.)

MeIdHunter 14 dic 2024

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Counting

I have $4$ different mathematics textbooks and $3$ different psychology textbooks. In how many ways can I place the $7$ textbooks on a bookshelf, in a row, if all the psychology textbooks are together?

MeIdHunter 14 dic 2024

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Counting

A speech class has $4$ freshmen and $3$ sophomores. (Everyone is distinguishable.) In how many ways can they stand in line, so that all of the freshmen are standing next to each other?

MeIdHunter 14 dic 2024