Question

In parallelogram RSTU
, RV
measures y+18
units and TV
measures 3y−10
units. How many units long is diagonal RT
?

(1 point)
Responses

32
32

16
16

14
14

64
64

Answer 1

In a parallelogram the diagonals bisect each other, so RV = TV. Set y + 18 = 3y − 10.
Solve: 18 + 10 = 3y − y → 28 = 2y → y = 14.
Then RT = 2·RV = 2(y + 18) = 2(14 + 18) = 2·32 = 64 units.