RSTV is a parallelogram. Line RT and Line SV intersect at Q. RQ = 5x+1 and QT = 3x+15. Find QT

QT = 36

Step-by-step explanation:

Step 1:

Lines RT and SV are the diagonals of the parallelogram RSTV.

Step 2:

The diagonals of a parallelogram bisect each other. (Properties of a parallelogram)

Step 3:

Given that the diagonals RT and SV intersect at Q, we have QT = RQ.

=> 5 x + 1 = 3 x + 15

=> 5 x - 3 x = 15 - 1

=> 2 x = 14

= > x = 7

Step 4:

QT = 3 x + 15

=> QT = 3 * 7 + 15

=> QT = 21 + 15 = 36