📐 geometry

1. **State the problem:** Find the volume $V$ of a square pyramid with base edges of length 4 ft and height 6 ft. 2. **Formula:** The volume of a pyramid is given by

1. **Problem statement:** You meant a triangle, not a rectangle, and you want an image plus help finding its angles. 2. **Key formula / rules:** The sum of the interior angles of a

1. **Problem statement:** You want an image of a rectangle and to know how to find its angles. 2. **Key formula / rule:** A rectangle has four right angles.

1. The problem asks to find the volume of a cylinder with radius $r=5$ inches and height $h=30$ inches. 2. The formula for the volume of a cylinder is:

1. The problem asks to find the size of angle $ABC$ in a triangle where angle $A$ is $72^\circ$ and angle $C$ is $37^\circ$. 2. Recall that the sum of the interior angles in any tr

1. **State the problem:** Find the exact distance between points $A(-3,1)$ and $B(5,6)$ on the coordinate plane. 2. **Formula used:** The distance $d$ between two points $(x_1,y_1)

1. **State the problem:** We have two angle pairs formed by two parallel lines cut by a transversal. The first pair has angles 80° and 69° with an unknown angle $x$. The second pai

1. **State the problem:** We are given a triangle with interior angles 80°, 69°, and $x$° and need to find $x$. 2. **Formula and rule:** The sum of interior angles in any triangle

1. **Problem statement:** Find the value of angle $x$ in the zig-zag pattern inside a rectangle where the angles are labeled as $(x-12)^\circ$, $(x-5)^\circ$, $x^\circ$, $(x+13)^\c

1. **Problem Statement:** We are given a right triangle with a vertical leg of length 3.2 cm, a horizontal leg of length 1.7 cm, and a slanted side (hypotenuse) that forms an angle

1. The problem asks: "How long is this side?" referring to a side in a geometric figure with various given side lengths and angles. 2. Since the problem involves triangles and poly

1. **Stating the problem:** We want to understand the rule that states for points A, B, and C on a line, the length from A to B plus the length from B to C equals the length from A

1. **Problem statement:** Given a circle $(O; R)$ with diameter $BC$, point $A$ lies on the ray opposite to $BC$ such that $OA < 2R$. Point $E$ is any point on the circle $(O)$, $E

1. **Stating the problem:** We have three parallel lines $l_1 \parallel l_2 \parallel l_3$ and three concurrent lines $l_4, l_5,$ and $l_6$ intersecting them. Points $A$ on $l_1$,

1. **Stating the problem:** We are given a geometric figure with angles labeled as $A = (3b - 5)^\circ$, $B = 88^\circ$, $C = (c + 5)^\circ$, $D = e^\circ$, $R = 72^\circ$, $S = 5d

1. **Problem statement:** We want to find the formulas for the surface area $O$ and volume $V$ of a sphere (kule). 2. **Surface area formula:** The surface area of a sphere with ra

1. **Stating the problem:** We are asked to find the area of the shaded segment (tembereng) of a circle with radius $r = 10$ cm and $\pi = 3.14$.

1. **Nyatakan masalah:** Dalam rajah, PQ dan PS adalah tangen kepada bulatan dari titik P. 2. **Formula dan peraturan penting:**

1. **Problem statement:** Given an acute triangle $\triangle ABC$, with $AD$ perpendicular to $BC$ at $D$. Points $I$ and $J$ are defined such that $AB$ is the perpendicular bisect

1. **Problem Statement:** Find the abscissa (x-coordinate) and ordinate (y-coordinate) of points A, B, C, D, and Z on a Cartesian plane. 2. **Understanding Coordinates:** The absci

1. **Problem statement:** We have a circle with center $P$ and diameters $FH$ and $EG$. We need to find the measure of arc $DGE$. 2. **Given information:**