📐 geometry
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Hendecagon Area 048Fe5
1. **State the problem:** We need to find the area of a regular hendecagon (11-sided polygon) inscribed in a circle, where each side length $s$ is approximately 7.46 millimeters.
2
Hexagon Area Ded107
1. **State the problem:** Find the area of a regular hexagon with an apothem length of 6 ft, rounding to the nearest tenth.
2. **Formula for the area of a regular polygon:**
Pentagon Area 00Cfc9
1. **State the problem:** Find the area of a regular pentagon with a radius (distance from center to vertex) of 10 mm.
2. **Formula:** The area $A$ of a regular polygon with $n$ si
Quadrilaterals Constellations 5114A0
1. The problem involves matching quadrilaterals in constellations with their attributes and naming each quadrilateral.
2. Since no specific quadrilateral attributes or clues are pr
Rhombus Properties 139C71
1. The problem asks to determine which figures are quadrilaterals and to evaluate statements about a given figure.
2. A quadrilateral is a polygon with exactly four sides.
Volume Rectangular Prism 391Fd1
1. **State the problem:** We need to find the volume of a rectangular prism with dimensions 1.6 inches (height), 3 inches (width), and 2 inches (length).
2. **Formula for volume of
Pizza Buy Comparison 43Fcb2
1. **State the problem:** Determine which pizza is the better buy by comparing the unit price per square inch for each pizza.
2. **Formula for area of a circle:**
Angle Value 24A827
1. **State the problem:** We need to find the value of $x$ given the angles around point $F$ where lines intersect.
2. **Analyze the figure and given information:**
Polygon Area D654A0
1. **State the problem:** Find the area of the given irregular polygon with labeled side lengths in millimeters.
2. **Approach:** We can divide the polygon into simpler shapes (rec
Composite Area 7A4A83
1. **State the problem:** Find the area of the composite polygon with given side lengths.
2. **Analyze the figure:** The shape consists of a stepped left side with vertical segment
Perpendicular Lines 64E7E5
1. The problem asks: What are perpendicular lines and can we draw them?
2. Perpendicular lines are two lines that intersect at a right angle, which means they meet at an angle of 9
Volume Practice Da685E
1. **State the problem:**
Find the volume of a prism with base edges 7 cm and 10 cm, and a height $h$.
Composite Area 550F2D
1. **Problem Statement:** Find the area of the composite figure consisting of a rectangle and a triangle on its right side.
2. **Formulae and Rules:**
Shaded Circle Angle 65B3B4
1. The problem asks to find the angle in degrees of the shaded portion of a circle divided into 10 equal sectors, with 7 sectors shaded.
2. Each sector of the circle represents an
Shaded Circle Angle 64B930
1. **State the problem:** We need to find the angle in degrees of the shaded portion of a circle divided into 10 equal sectors, with 7 sectors shaded.
2. **Formula and rules:** The
Distance True False 4A9Ae5
1. **State the problem:** Determine whether each statement about distances between points on a coordinate plane is true or false.
2. **Recall the distance formula for points on hor
Distance Vertical 2C31E2
1. **State the problem:** Determine if the park is 5 miles from the deli on the coordinate plane.
2. **Identify coordinates:** The deli is at $(-4, 2)$ and the park is at $(-4, -4)
Adela Walking Distance F1620B
1. **State the problem:** We need to find the total distance Adela walks from her home to the restaurant and then from the restaurant to the concert.
2. **Identify coordinates:**
Triangle Angle Dcb045
1. **State the problem:** We have a right triangle with one angle measuring $57^\circ$ and another angle measuring $x^\circ$. We need to find the value of $x$.
2. **Recall the tria
Missing Angles 30C441
1. **State the problem:** We have two intersecting lines forming four angles. One angle is given as 50° (bottom-left). We need to find the measures of the missing angles $b$ (top-r
Chocolate Filling 9Cca21
1. **Problem statement:** Calculate the capacity of the chocolate filling inside the solid, which consists of a rectangular prism with a triangular prism on top.
2. **Understanding