Parallelogram L O N M is shown. Diagonals are drawn from point L to point N and from point O to point M and intersect at point Q. The length of line segment O Q is (2 x + 3) centimeters and the length of lines segment Q M is (3 x minus 4) centimeters. In parallelogram LONM, what is OM? 7 cm 17 cm 24 cm 34 cm

The length of line segment OM is 34 cm.

Step-by-step explanation:

Step 1 :

⇒ length of OQ = length of QM

⇒ 2x + 3 = 3x -4

⇒ 3x-2x =4+3

⇒ x = 7

Step 2 :

Subsitute x = 7 in OQ and QM

⇒ length of OQ = 2x+3

⇒ 2(7) + 3 = 17 cm

⇒ length of QM = 3x-4

⇒ 3(7) - 4 = 17 cm

∴ Length of OM = length of OQ + length of QM

⇒ OM = 17+17 = 34 cm

do i do it on a graph?

step-by-step explanation: