CInsbstnkng

86 Questions
15 Answers

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Geometry

Triangle ABC has circumcenter O. What is \angle AOC, in degrees?

CInsbstnkng 03.12.2025

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Geometry

Let XYZ be a triangle, and let XP, XQ, XR be the altitude, angle bisector, and median from X, respectively. If angle YQZ = 90^\circ and angle ZQX = 22^\circ, then what is the measure of angle RZP in degrees?

CInsbstnkng 02.12.2025

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Geometry

Find the side length of the equilateral triangle.
AB = 1, CP = 4, PQ = 5, DA = 3, EP = 2

CInsbstnkng 02.12.2025

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Geometry

In the diagram, ABCD is a square with side length 2, and BEF is an equilateral triangle with side length 3. Find DF.

CInsbstnkng 02.12.2025

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Geometry

In the diagram, ABCD and AEFG are squares with side length 1. Find the area of the green region.

CInsbstnkng 02.12.2025

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Geometry

In rectangle ABCD, corner A is folded over crease DE to point F on BC. Find BC.

CInsbstnkng 02.12.2025

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Geometry

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

CInsbstnkng 02.12.2025

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Math

A fair coin is tossed repeatedly until either heads comes up three times in a row or tails comes up four times in a row. What is the probability that the coin will be tossed more than 10 times? Express your answer as a common fraction.

CInsbstnkng 07.10.2025

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Math

In triangle ABC, cos A=sqrt(7/10) and cos B=sqrt(3/10) Find cos C

CInsbstnkng 07.10.2025

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Help me help

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[PBC] = 15$ and $CD = 3 \cdot AD,$ what is $[ABCD]$?

CInsbstnkng 19.08.2025

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Need help

Trapezoid ABCD has bases \overline{AB} and \overline{CD}. The extensions of the two legs of the trapezoid intersect at $P$. If $[ABD]=8$ and $[PBC]=8$, then what is $[PAB]$?

CInsbstnkng 19.08.2025

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help me help me

An equilateral triangle, a regular heptagon, a square, a 20-gon, a regular pentagon, a regular hexagon, and a regular n-gon, all with the same side length also completely surround a point. Find n.

CInsbstnkng 18.08.2025

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help me

Let ABCDE be an equilateral pentagon. If the pentagon is concave, and $\angle A = \angle B = 90^{\circ},$ then what is the degree measure of $\angle E$?

CInsbstnkng 18.08.2025

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Help help

Find all ordered pairs x, y of real numbers such that x+y=10 and x^3+y^3=300.
For example, to enter the solutions (2, 4) and (-3, 9), you would enter "(2,4),(-3,9)" (without the quotation marks).

CInsbstnkng 17.08.2025

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Help me help

For an integer n, the inequality
x^2 + nx + 15 < -89 - 3x^2
has no real solutions in $x$. Find the number of different possible values of $n$.

CInsbstnkng 17.08.2025

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help me now

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 $EFGH$.

CInsbstnkng 13.08.2025