11. Distributive Property: If 3(x + 7) = 30, then = 30. 12. The formula for the surface area of a rectangular prism is given by the equation A = 2lw + 2lh + 2hw, where l is the length, w is the width, and h is the height. Solve the formula for w and justify each step. Then find the width of the prism if the total surface area is 52 square inches, the length is 2 inches, and the height is 4 inches. 13. In the diagram, AB = 3 and BC = 5. Find the perimeter of the hexagon. Justify your answer using the properties of equality. ven C 十 4 and 3 opler m22 180 A

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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11. Distributive Property: If 3(x + 7) = 30, then
= 30.
12. The formula for the surface area of a rectangular prism is given
by the equation A = 2lw + 2lh + 2hw, where l is the length,
h
w is the width, and h is the height. Solve the formula for w and
justify each step. Then find the width of the prism if the total
surface area is 52 square inches, the length is 2 inches, and the
height is 4 inches.
13. In the diagram, AB = 3 and BC = 5. Find the perimeter of the hexagon.
Justify your answer using the properties of equality.
1. 21 and
4and 3
%23
m22
180
A
gery
Transcribed Image Text:11. Distributive Property: If 3(x + 7) = 30, then = 30. 12. The formula for the surface area of a rectangular prism is given by the equation A = 2lw + 2lh + 2hw, where l is the length, h w is the width, and h is the height. Solve the formula for w and justify each step. Then find the width of the prism if the total surface area is 52 square inches, the length is 2 inches, and the height is 4 inches. 13. In the diagram, AB = 3 and BC = 5. Find the perimeter of the hexagon. Justify your answer using the properties of equality. 1. 21 and 4and 3 %23 m22 180 A gery
2.4
Practice
In Exercises 1–3, solve the equatior
1. 3x + 4 = 31 3-27
2.
7-3
In Exercises 4–6, solve the equatic
4. p = 2v; v
In Exercises 7 and 8, name the pr
7. If x = y, then -2x =
-2y.
8. If mZA = mZB and mZB
In Exercises 9–11, use the prop
9. Addition Property of Equa!
Transcribed Image Text:2.4 Practice In Exercises 1–3, solve the equatior 1. 3x + 4 = 31 3-27 2. 7-3 In Exercises 4–6, solve the equatic 4. p = 2v; v In Exercises 7 and 8, name the pr 7. If x = y, then -2x = -2y. 8. If mZA = mZB and mZB In Exercises 9–11, use the prop 9. Addition Property of Equa!
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