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15 a b d The two rectangles above are similar. If b = 27 mm, and c = 30 mm, and d = 45 mm, what is the length of a? A. 15 mm В. 9 mm Oc. 12 mm D. 18 mm

15 a b d The two rectangles above are similar. If b = 27 mm, and c = 30 mm, and d = 45 mm, what is the length of a? A. 15 mm В. 9 mm Oc. 12 mm D. 18 mm

Elementary Geometry For College Students, 7e
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 15** [Image Description: There are two yellow rectangles. The smaller rectangle is labeled with sides 'a' and 'b' and the larger rectangle is labeled with sides 'c' and 'd'.] The two rectangles above are similar. If \( b = 27 \, \text{mm} \), and \( c = 30 \, \text{mm} \), and \( d = 45 \, \text{mm} \), what is the length of \( a \)? **Options:** - A. \( 15 \, \text{mm} \) - B. \( 9 \, \text{mm} \) - C. \( 12 \, \text{mm} \) - D. \( 18 \, \text{mm} \) *[The students should use the properties of similar rectangles, where corresponding sides are proportional, to solve for \( a \).]*
Transcribed Image Text:**Question 15** [Image Description: There are two yellow rectangles. The smaller rectangle is labeled with sides 'a' and 'b' and the larger rectangle is labeled with sides 'c' and 'd'.] The two rectangles above are similar. If \( b = 27 \, \text{mm} \), and \( c = 30 \, \text{mm} \), and \( d = 45 \, \text{mm} \), what is the length of \( a \)? **Options:** - A. \( 15 \, \text{mm} \) - B. \( 9 \, \text{mm} \) - C. \( 12 \, \text{mm} \) - D. \( 18 \, \text{mm} \) *[The students should use the properties of similar rectangles, where corresponding sides are proportional, to solve for \( a \).]*
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