Can you help me with #1-14 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 EXAMPLE 2CLASSIFYING Classify the polygon by the number of sides. Tell whether thepolygon is equilateral, equiangular, or regular. Explain your reasoning.for Exs. 8-148.9.1 in.1 in.10.1 in./1 in.1 in.11.(13.12.5 m4 ml5 m14. ERROR ANALYSIS Two students were asked to draw a regular hexagon, asshown below. Describe the error made by each student.Student AStudent B15. O ALGEBRA The lengths (in inches) of two sides of a regular pentagonare represented by the expressions 5x – 27 and 2x – 6. Find the lengthof a side of the pentagon.EXAMPLE 3for Exs. 15-1716. O ALGEBRA The expressions (9x + 5)° and (11x – 25)° represent themeasures of two angles of a regular nonagon. Find the measure of anangle of the nonagon.17. O ALGEBRA The expressions 3x - 9 and 23 – 5x represent the lengths(in feet) of two sides of an equilateral triangle. Find the length of a side.USING PROPERTIES Tell whether the statement is always, sometimes, ornever true.18. A triangle is convex.(19.) A decagon is regular.20. A regular polygon is equiangular.21. A circle is a polygon.22. A polygon is a plane figure.23. A concave polygon is regular.DRAWING Draw a figure that fits the description.24. A triangle that is not regular25. A concave quadrilateral26. A pentagon that is equilateral but not equiangular27. An octagon that is equiangular but not equilateralALGEBRA Each figure is a regular polygon. Expressions are given fortwo side lengths. Find the value of xr.28.29.x? + 3x30.2+2x+ 40x² + x + 2-x+ 1901.6 Classify Polygons45.......

Name: Can you help me with #1-14 please EXAMPLE 3Find side lengthsREAD VOCAB
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Description: Can you help me with #1-14 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.

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Can you help me with #1-14 please EXAMPLE 3Find side lengthsREAD VOCABULARY.............. ..Hexagonal means&#34;shaped like a hexagon.&#34;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 EXAMPLE 2CLASSIFYING Classify the polygon by the number of sides. Tell whether thepolygon is equilateral, equiangular, or regular. Explain your reasoning.for Exs. 8-148.9.1 in.1 in.10.1 in./1 in.1 in.11.(13.12.5 m4 ml5 m14. ERROR ANALYSIS Two students were asked to draw a regular hexagon, asshown below. Describe the error made by each student.Student AStudent B15. O ALGEBRA The lengths (in inches) of two sides of a regular pentagonare represented by the expressions 5x – 27 and 2x – 6. Find the lengthof a side of the pentagon.EXAMPLE 3for Exs. 15-1716. O ALGEBRA The expressions (9x + 5)° and (11x – 25)° represent themeasures of two angles of a regular nonagon. Find the measure of anangle of the nonagon.17. O ALGEBRA The expressions 3x - 9 and 23 – 5x represent the lengths(in feet) of two sides of an equilateral triangle. Find the length of a side.USING PROPERTIES Tell whether the statement is always, sometimes, ornever true.18. A triangle is convex.(19.) A decagon is regular.20. A regular polygon is equiangular.21. A circle is a polygon.22. A polygon is a plane figure.23. A concave polygon is regular.DRAWING Draw a figure that fits the description.24. A triangle that is not regular25. A concave quadrilateral26. A pentagon that is equilateral but not equiangular27. An octagon that is equiangular but not equilateralALGEBRA Each figure is a regular polygon. Expressions are given fortwo side lengths. Find the value of xr.28.29.x? + 3x30.2+2x+ 40x² + x + 2-x+ 1901.6 Classify Polygons45.......

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