lonelyeyes83pehsfr lonelyeyes83pehsfr
  • 03-09-2018
  • Mathematics
contestada

if m<PQT=60 and m<PQS=4x+14 find the value if x

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lisboa lisboa
  • 12-09-2018

Diagram is attached below

m<PQT=60 and m<PQS=4x+14

m<PQS  and m<SQT  are same

m<PQT = m<PQS + m<SQT = m<PQS + m<PQS = 2m<PQS

 m<PQT = 2m<PQS

So m<PQS = [tex]\frac{m<PQT}{2}[/tex]

Plug in the given information and solve for x

4x + 14 = [tex]\frac{60}{2}[/tex]

4x + 14 = 30 (subtract 14 on both sides)

4x = 16 (Divide by 4 on both sides)

x = 4

The value of x is 4

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