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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Working With Sets

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Exercise 55 Page 199

Since the triangles are similar, the ratio between corresponding sides is the same.

D

Practice makes perfect

Since the given triangles are similar, the ratio between corresponding sides is the same. We can write this as the following proportion. 7/5=FG/9 By solving for FG, we determine the missing length.

7/5=FG/9

LHS * 9=RHS* 9

7/5* 9=FG

MoveRightFacToNum

a/c* b = a* b/c

63/5=FG

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Write fraction as a mixed number

Rewrite 63 as 60+3

60+3/5=FG

Write as a sum of fractions

60/5+3/5=FG

Calculate quotient

12+3/5=FG

Add terms

12 35=FG

Rearrange equation

FG=12 35

The missing length is 12 35. This corresponds to option D.

Subchapter links

Lesson Check p.197

Practice and Problem-Solving Exercises p.197-199

Standardized Test Prep p.199

Mixed Review p.199