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on a parellalogram, P Q R and S all intersect T

 

PT = Y

TR = 4x+1

QT = 2y

TS = 5x+8

 

WHat do X and Y equal

 Dec 3, 2020
 #1
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The diagonals of a parallelogram will bisect  each other....so we have

 

PT = TR       and   QT = TS

 

So...we have  this system

 

y  = 4x + 1       (1)

2y = 5x + 8      (2)

 

Sub (1)  into  (2)   and we have that

 

2 ( 4x + 1)  = 5x + 8

 

8x  + 2   = 5x +  8

 

8x - 5x  =  8  - 2

 

3x   =    6    →    x  =  2

 

And

 

y = 4(2)  +  1  =   9

 

 

cool cool cool

 Dec 3, 2020

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