Answer:
t = 23
Step-by-step explanation:
Recall that the diagonals of a parallelogram intersect dividing each one in equal segments, therefore segment DG must equal the length of segment GF.
Then we can construct the following equation based on DG = GF
t - 1 = 4 t - 70
then we can solve for t
subtract t from both sides
- 1 = 3 t - 70
add 70 to both sides
70 - 1 = 3 t
69 = 3 t
divide both sides by 3 to isolate t
69 / 3 = t
then
t = 23
