If four vertical cables are holding up a rectangular, 100 - Newton sign, how much tension is on each cable?

We may balance the forces in order to calculate the tension.

We know that there are no horizontal forces being applied. Next, the vertical forces are:

Weight (W) which is acting downwards

Tension in each wire (T) which is acting upwards

Because the sign is stationary, the downward force must equal the upward force. So we may write:

Weight = 4 * tension

W = 4T

100 = 4T

T = 25 N

The tension in each wire is 25 Newtons