All Questions ⁺⁰231361 Questions

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HELP DUE SOON

In triangle $ABC,$ $AB = 15,$ $BC = 9,$ and $AC = 12.$ Find the length of the shortest altitude in this triangle.
In the diagram below, $\angle PQR = \angle PRQ = \angle STR = \angle TSR$, $RQ = 8$, and $SQ read more ..

rtsdyhfdts Apr 30, 2024

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i need help

In triangle $STU$, let $M$ be the midpoint of $\overline{ST},$ and let $N$ be on $\overline{TU}$ such that $\overline{SN}$ is an altitude of triangle $STU$. If $ST = 13$, $SU = 14$, $TU = 4$, and $\overline{SN}$ and $\overline{UM}$ intersect at $X$, read more ..

rtsdylifdts Apr 30, 2024

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help geometry

Altitudes $\overline{AD}$ and $\overline{BE}$ of acute triangle $ABC$ intersect at point $H$. If $\angle AHB = 144^\circ$ and $\angle BAH = 20^\circ$, then what is $\angle ABH$ in degrees?

rtsdylifdts Apr 30, 2024

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Let $M$, $N$, and $P$ be the midpoints of sides $\overline{TU}$, $\overline{US}$, and $\overline{ST}$ of triangle $STU$, respectively. Let $\overline{UZ}$ be an altitude of the triangle. If $\angle TSU = 62^\circ$ and $\angle STU = 29^\circ$, read more ..

rtsdylifdts Apr 30, 2024

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help plz

In trapezoid $ABCD,$ $\overline{AB} \parallel \overline{CD}$. Find the area of the trapezoid.

rtsdylifdts Apr 30, 2024

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Points $X$, $Y$, and $Z$ are on the sides $\overline{QR}$, $\overline{PR}$, and $\overline{PQ}$, respectively, of right triangle $PQR$ such that $PZXY$ is a square. If $PQ = 6$ and $PR = 6$, then what is the side length of the square?

rtsdylifdts Apr 30, 2024

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geometry question

In triangle $ABC$, points $D$ and $F$ are on $\overline{AB},$ and $E$ is on $\overline{AC}$ such that $\overline{DE}\parallel \overline{BC}$ and $\overline{EF}\parallel \overline{CD}$. If $AF = 1$ and $DF = 2$, then what is $BD$?

rtsdylifdts Apr 30, 2024

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help with geometry!

In quadrilateral $BCED$, sides $\overline{BD}$ and $\overline{CE}$ are extended past $B$ and $C$, respectively, to meet at point $A$. If $BD = 18$, $BC = 18$, $CE = 6$, $AC = 14$ and $AB = 10$, then what is $DE$?

rtsdylifdts Apr 30, 2024

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The line x=k bisects the area of triangle ABC. Find the value of k. A on the coodinate grid is (3,2), B is (-5,0), and C is (1,0)

The line x=k bisects the area of triangle ABC. Find the value of k. A on the coodinate grid is (3,2), B is (-5,0), and C is (1,0)

RedDragon1 Apr 30, 2024

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help geometry

Point $D$ is the midpoint of median $\overline{AM}$ of triangle $ABC$. Point $E$ is the midpoint of $\overline{AB}$, and point $T$ is the intersection of $\overline{BD}$ and $\overline{ME}$. Find the area of triangle $BET$ if $AB = 20$, $AC = 20$, and BC read more ..

rtsdylifdts Apr 30, 2024

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i need help

A rectangle contains a strip of width $1,$ as shown below. Find the area of the strip.

rtsdylifdts Apr 30, 2024

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help needed

In triangle ABC, angle A = p + 2q degrees, angle B = 6p - 5q degrees, and angle C = 14p + 8q degrees. Find p (in degrees) in terms of q.

rtsdylifdts Apr 30, 2024

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due soon please help

In triangle ABC, angle B = 90 degrees. Point X is on line AC such that angle BXA = 90 degrees, AX = 15, and CX = 5. What is BX?

rtsdyhfdts Apr 30, 2024

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In triangle ABC, point D lies on side AC such that line segment BD bisects angle ABC. Angle A measures 30 degrees, angle C measures 90 degrees, and the length of side AC is 12 units. The task is to determine the area of triangle ABD.

rtsdyhfdts Apr 30, 2024

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Algebra

In Linguistics $101,$ the ratio of the number of juniors to the number of seniors is $3:2$. When twelve more juniors join the class, and one senior drops the class, the ratio of the number of juniors to the number of seniors becomes $2:1$. How read more ..

ABJeIIy Apr 30, 2024

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Algebra

At a cafeteria, Mary orders two pieces of toast and a bagel, which comes out to 3.15. Gary orders a bagel and four muffins, which comes out to 7.85. Larry orders a piece of toast, two bagels, and three muffins, which comes out to 9.75. read more ..

ABJeIIy Apr 30, 2024

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Algebra

Let a be a real number such that a + \frac{1}{a} + a^2 + \frac{1}{a^2} = 0. Find a^5.

ABJeIIy Apr 30, 2024

Apr 29, 2024

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Geometry

Let X be a point inside rectangle ABCD. If AX = 3, BX = 3, and CX = 3, then find DX.

ABJeIIy Apr 29, 2024

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Algebra

I have to paint one side of a wall. The wall is $15$ meters tall and $60$ meters long. Each gallon of paint covers $400$ square feet. If a foot is approximately $0.3048$ meters, then what is the smallest whole number of gallons I can buy and read more ..

ABJeIIy Apr 29, 2024

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Algebra

I drove to the beach at a rate of $40$ miles per hour. If I had driven at a rate of $55$ miles per hour instead, then I would have arrived $25$ minutes earlier. How many miles did I drive?

ABJeIIy Apr 29, 2024

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Algebra

Find the coefficient of y^4 in the expansion of (2y - 5 + y - 6)^4.

ABJeIIy Apr 29, 2024

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How to solve?

What is the diagonal of a regular pentagon whose radius is 20 cm?

Pearsse Apr 29, 2024

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Algebra

ABJelly Apr 29, 2024

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Algebra

Fill in the blanks with positive integers:
(3 + sqrt(5) - 1 + 2*sqrt(3) + 5)^2 = ___ + ___ *sqrt(5)

ABJeIIy Apr 29, 2024

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