breenkids3 breenkids3
  • 22-02-2020
  • Mathematics
contestada

In trapezoid PQRS, ST=16.1 and PR=33.5. Identify TQ.

In trapezoid PQRS ST161 and PR335 Identify TQ class=

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amna04352
amna04352 amna04352
  • 22-02-2020

Answer:

Option 2: 17.4

Step-by-step explanation:

PR = SQ = 33.5

SQ = ST + TQ

ST = 16.1 and SQ = 33.5

33.5 = 16.3 + TQ

TQ = 33.5 - 16.1 = 17.4

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Ursus Ursus
  • 22-02-2020

Answer:

[tex]TQ=17.4[/tex]

Step-by-step explanation:

In the given figure:  [tex]PS=QR[/tex]

 Therefore,     [tex]PR=QS[/tex]

Given:

        [tex]PR=33.5\\ ST= 16.1[/tex]

      [tex]PR=QS=33.5[/tex]

 

        [tex]QS=TQ+ST\\\\33.5=TQ+16.1\\\\TQ=33.5-16.1\\\\TQ=17.4[/tex]

So,

          [tex]TQ=17.4[/tex]

Answer Link

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