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Find the surface area of the triangular prism. 8 m [?] sq m 6 m 10 m 7m

Find the surface area of the triangular prism. 8 m [?] sq m 6 m 10 m 7m

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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find the surface area of the triangular prism

**Geometry: Finding Angles in Geometric Shapes** In this diagram, we are presented with a mathematical problem involving geometry. Here, we see a shape composed of a rectangle base and a pentagonal top. The base of the shape is a rectangular prism, and the top section forms a pentagon with one of its angles marked as 60 degrees. Our goal is to find the unknown angle denoted by the question mark (?). To better understand this shape, let’s break it down: 1. **Pentagon on top**: The pentagon on the top consists of one 60-degree angle at the vertex on the left side. 2. **Dotted Lines**: The dotted lines inside the pentagon indicate the internal structure, possibly suggesting the plane of the pentagon divided into triangles. 3. **Understanding Angles**: In a pentagon, the sum of the internal angles is always 540 degrees. 4. **Geometry**: By dividing the pentagon into triangles, each triangle's internal angles sum to 180 degrees. To determine the unknown angle (?), we will use our knowledge of the properties of polygons and the fact that every pentagon can be divided into three triangles. We need to consider both angles, lengths, and relationships between lines and angles inside these geometric shapes. This type of problem often appears in studies involving geometry, trigonometry, and polygon properties. It helps in understanding how different shapes interact and how angles are determined within composite shapes.
Transcribed Image Text:**Geometry: Finding Angles in Geometric Shapes** In this diagram, we are presented with a mathematical problem involving geometry. Here, we see a shape composed of a rectangle base and a pentagonal top. The base of the shape is a rectangular prism, and the top section forms a pentagon with one of its angles marked as 60 degrees. Our goal is to find the unknown angle denoted by the question mark (?). To better understand this shape, let’s break it down: 1. **Pentagon on top**: The pentagon on the top consists of one 60-degree angle at the vertex on the left side. 2. **Dotted Lines**: The dotted lines inside the pentagon indicate the internal structure, possibly suggesting the plane of the pentagon divided into triangles. 3. **Understanding Angles**: In a pentagon, the sum of the internal angles is always 540 degrees. 4. **Geometry**: By dividing the pentagon into triangles, each triangle's internal angles sum to 180 degrees. To determine the unknown angle (?), we will use our knowledge of the properties of polygons and the fact that every pentagon can be divided into three triangles. We need to consider both angles, lengths, and relationships between lines and angles inside these geometric shapes. This type of problem often appears in studies involving geometry, trigonometry, and polygon properties. It helps in understanding how different shapes interact and how angles are determined within composite shapes.
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