Can you help me with 1-7 please EXAMPLE 3Find side lengthsREAD VOCABULARY.............. ..Hexagonal means"shaped like a hexagon."xy ALGEBRA A table is shaped like a regular hexagon.The expressions shown represent side lengths of thehexagonal table. Find the length of a side.(3x + 6) in.Solution(4х — 2) inFirst, write and solve an equation to findthe value of x. Use the fact that the sidesof a regular hexagon are congruent.3x + 6 = 4x – 2Write equation.6 = x – 2Subtract 3x from each side.8 = xAdd 2 to each side.Then find a side length. Evaluate one of the expressions when x = 8.3x + 6 = 3(8) + 6 = 30• The length of a side of the table is 30 inches.GUIDED PRACTICEfor Example 33. The expressions 8y° and (9y – 15)° represent the measures of two of theangles in the table in Example 3. Find the measure of an angle.1.6 EXERCISESHOMEWORKKEY= See WORKED-OUT SOLUTIONSExs. 13, 19, and 33* = STANDARDIZED TEST PRACTICEExs. 2, 7, 37, 39, and 40SKILL PRACTICE1. VOCABULARY Explain what is meant by the term n-gon.2. * WRITING Imagine that you can tie a string tightly around a polygon.If the polygon is convex, will the length of the string be equal to thedistance around the polygon? What if the polygon is concave? Explain.IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not,explain why. If it is a polygon, tell whether it is convex or concave.EXAMPLE 1**............for Exs. 3-73.4.5.6.7. * MULTIPLE CHOICE Which of the figures is a concave polygon?©D44Chapter 1 Essentials of Geometry

1). An n-gon is a polygon with n sides. For example, a triangle is a 3-gon. A simple polygon is one…

1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. 3. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? (B)

1. VOCABULARY Explain what is meant by the term n-gon. 2. * WRITING Imagine that you can tie a string tightly around a polygon. If the polygon is convex, will the length of the string be equal to the distance around the polygon? What if the polygon is concave? Explain. IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not, explain why. If it is a polygon, tell whether it is convex or concave. 3. 5. 6. 7. * MULTIPLE CHOICE Which of the figures is a concave polygon? (B)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Can you help me with 1-7 please

EXAMPLE 3
Find side lengths
READ VOCABULARY
.............. ..
Hexagonal means
"shaped like a hexagon."
xy ALGEBRA A table is shaped like a regular hexagon.
The expressions shown represent side lengths of the
hexagonal table. Find the length of a side.
(3x + 6) in.
Solution
(4х — 2) in
First, write and solve an equation to find
the value of x. Use the fact that the sides
of a regular hexagon are congruent.
3x + 6 = 4x – 2
Write equation.
6 = x – 2
Subtract 3x from each side.
8 = x
Add 2 to each side.
Then find a side length. Evaluate one of the expressions when x = 8.
3x + 6 = 3(8) + 6 = 30
• The length of a side of the table is 30 inches.
GUIDED PRACTICE
for Example 3
3. The expressions 8y° and (9y – 15)° represent the measures of two of the
angles in the table in Example 3. Find the measure of an angle.
1.6 EXERCISES
HOMEWORK
KEY
= See WORKED-OUT SOLUTIONS
Exs. 13, 19, and 33
* = STANDARDIZED TEST PRACTICE
Exs. 2, 7, 37, 39, and 40
SKILL PRACTICE
1. VOCABULARY Explain what is meant by the term n-gon.
2. * WRITING Imagine that you can tie a string tightly around a polygon.
If the polygon is convex, will the length of the string be equal to the
distance around the polygon? What if the polygon is concave? Explain.
IDENTIFYING POLYGONS Tell whether the figure is a polygon. If it is not,
explain why. If it is a polygon, tell whether it is convex or concave.
EXAMPLE 1
**............
for Exs. 3-7
3.
4.
5.
6.
7. * MULTIPLE CHOICE Which of the figures is a concave polygon?
©
D
44
Chapter 1 Essentials of Geometry

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