最新の問題
We are given that $\angle ROS = 66^\circ$ and $\angle POQ = 3x$. We are also told that some constru...
AnglesAngle BisectorGeometric Proof
2025/4/29
Bala sold an article for N6900 with a 15% profit. We need to find the profit or loss percentage if h...
PercentageProfit and LossCost PriceSelling Price
2025/4/29
In the given diagram, $GI$ is a tangent to the circle at point $H$. We are given that $EF$ is parall...
GeometryCirclesTangentsAnglesParallel LinesTangent-Chord Theorem
2025/4/29
複素数 $z$ が、等式 $2z + \overline{z} = 1 + i$ を満たすとき、 (1) $2\overline{z} + z$ を求めよ。 (2) $z$ を求めよ。
複素数複素共役代数方程式
2025/4/29
The problem states that in the diagram, $EF = 8$ cm, $FG = x$ cm, and $GH = (x+2)$ cm. Also, $\angle...
Triangle AreaAlgebraGeometric ShapesEquation Solving
2025/4/29
The problem asks to find the inequality whose solution is represented by the shaded region in the gi...
Linear InequalitiesGraphing InequalitiesCoordinate Geometry
2025/4/29
The problem asks how many times a man needs to run around a circular track of diameter 100m to cover...
CircumferenceCircleWord ProblemApproximation
2025/4/29
3点 $A(-1+i)$, $B(1-i)$, $C(-\sqrt{3} - \sqrt{3}i)$ を頂点とする三角形ABCはどのような三角形か。
複素数平面三角形辺の長さ正三角形
2025/4/29
In the given diagram, $O$ is the center of the circle. We are given that $\angle SQR = 60^{\circ}$, ...
CirclesAnglesInscribed AnglesCentral AnglesQuadrilaterals
2025/4/29
与えられた数列の和を計算する問題です。 数列は $1 + 2 \cdot 3 + 3 \cdot 3^2 + 4 \cdot 3^3 + \cdots + n \cdot 3^{n-1}$ で表されま...
数列等比数列和数学的帰納法
2025/4/29