cece7683
cece7683 cece7683
  • 11-05-2019
  • Mathematics
contestada

The triangles are similar. What is the value of x? Enter your answer in the box. X=

The triangles are similar What is the value of x Enter your answer in the box X class=

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DarrylChandra
DarrylChandra DarrylChandra
  • 11-05-2019

[tex] \frac{4x + 12}{32} = \frac{15}{8} \\ ( = )32x + 96 = 480 \\ ( = )x = 12[/tex]

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jimrgrant1 jimrgrant1
  • 11-05-2019

Answer:

x = 12

Step-by-step explanation:

Since the triangles are similar then the ratio of corresponding sides are equal, that is

[tex]\frac{4x+12}{15}[/tex] = [tex]\frac{32}{8}[/tex] = 4, thus

4x + 12 = 4 × 15 = 60 ( subtract 12 from both sides )

4x = 48 ( divide both sides by 4 )

x = 12

Answer Link

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