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KIM [24]
3 years ago
8

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

Mathematics
1 answer:
vodka [1.7K]3 years ago
5 0

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

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