📐 geometry

1. **State the problem:** We have parallelogram JKLM reflected across the y-axis and then translated down 6 units to form parallelogram QRST. We need to determine which statements

1. The problem statement is unclear as it mentions "no 60 or 8 in these angels" which seems to be a typo or incomplete. 2. If you meant "angles" and are referring to a problem invo

1. The problem states that angles 2 and 3 are each 52 degrees, and we need to understand how to find or verify this. 2. Typically, angles labeled 2 and 3 might be related by geomet

1. **Stating the problem:** We are given a geometric figure with intersecting lines and angles, and we need to find unknown angles based on the given information. 2. **Given angles

1. **State the problem:** We are given a triangle with vertices A, B, and C. The angle at vertex A is given as $2x - 20$ degrees. The sides opposite vertices B and C are labeled wi

1. The problem asks to identify the type of triangle given that sides AB and AC are equal, both labeled with length $x$. 2. In geometry, a triangle with two equal sides is called a

1. **Stating the problem:** We are given two intersecting lines forming a Z shape with angles marked as 100° and 76°, and two angles labeled 1 and 2. We need to find the measures o

1. **State the problem:** We have two right triangles sharing a common horizontal side. The upper triangle has a hypotenuse of length $7\sqrt{3}$ and angles $45^\circ$ and $90^\cir

1. Stating the problem: We have four lines AB (horizontal), MN (diagonal), and PQ (vertical). 2. Given: AB meets MN at B with angle between them $76^\circ$.

1. **State the problem:** We are given a triangle DEF with angles at vertices D, E, and F labeled as $x$, $2x$, and $5x$ respectively. We need to find the measure of angle $D$, whi

1. **State the problem:** We need to find the length of side AC (labeled as $b$) in a right triangle with side BC = 5.0 cm and angle at vertex B = 27°.

1. **State the problem:** We need to find the cost to fill a conical silo with rice. The silo has a height $h=7$ meters and a base radius $r=1.5$ meters. Rice costs 204 per cubic m

1. **State the problem:** We need to find how many truckloads are required to move a pile of sand shaped like a cone. The cone has a height of 9 yards and a base diameter of 10 yar

1. **State the problem:** We have a compound L-shaped figure made of two rectangles. The total area is given as 75 cm². We need to find the value of $x$, the width of the upper rec

1. **State the problem:** We have an L-shaped compound figure with total area 92 cm². The total width is 10 cm, total height is 8 cm. The top horizontal segment is 4 cm, the vertic

1. **State the problem:** We have a triangle with points A, C, B and a segment AD inside it, where AD = 64 units and DB = 28 units. On the base CB, segments CE = 20.7 units and EB

1. **State the problem:** We need to find the missing side length $x$ of a rectangle where the area is 29 square inches and the other side length is 7.5 inches. 2. **Formula for th

1. **Problem Statement:** The base of the lampshade is a regular hexagon with side length 8 inches. We need to estimate the amount of glass needed to make the lampshade, which mean

1. **Problem 9:** Find the surface area of a regular pyramid with base length 10 yd and slant height 7.8 yd. 2. **Formula:** Surface area $SA = B + \frac{1}{2}Pl$ where $B$ is base

1. **State the problem:** Find the coordinates of point P on the line segment connecting the black checker at (2,5) and the white checker at (7,8) such that the ratio of the distan

1. **Problem:** Find the coordinates of point P along the directed line segment ST so that the ratio of SP to PT is 1 to 3, where S = (6, 4) and T = (-4, -8). 2. **Formula:** To fi