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Given that quadrilateral PQRS~ quadrilateral TUVW, write a proportion to find the length of PS. U P X S 35 R 20 25 W T 15​

Given that quadrilateral PQRS quadrilateral TUVW write a proportion to find the length of PS U P X S 35 R 20 25 W T 15 class=

Respuesta :

devishri1977

Answer:

x = 21

Step-by-step explanation:

As the quadrilaterals are similar, their corresponding sides will be in the same proportion.

     PS ~ TW   and SR ~ WV

 [tex]\sf \dfrac{PS}{SR} = \dfrac{TW}{WV}\\\\\dfrac{x}{35}=\dfrac{15}{25}\\\\ x = \dfrac{15}{25}*35\\\\ x = 3*7\\\\x = 21[/tex]

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