ersb140ovufak ersb140ovufak
  • 01-05-2020
  • Mathematics
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PRT S ∥ P R. What is the length of QS?

PRT S P R What is the length of QS class=

Respuesta :

jimrgrant1 jimrgrant1
  • 01-05-2020

Answer:

QS = 20

Step-by-step explanation:

Since TS is parallel to PR and intersects the other 2 sides then it divides those sides proportionally, that is

[tex]\frac{QT}{TP}[/tex] = [tex]\frac{QS}{SR}[/tex], substitute values

[tex]\frac{25}{15}[/tex] = [tex]\frac{QS}{12}[/tex] ( cross-  multiply )

15QS = 300 ( divide both sides by 15 )

QS = 20

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