Question

What is the value of t? How do I find the value of t?

Answer 1

t = 23

Explanation:

line DG and FG are congruent

t - 1 = 4t -70

subtract t from both sides (-1 = 3t -70)

add 70 to both sides (69 = 3t)

divide each side by 3 (t = 23)

Answer 2

t = 23

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