Using proportions, it is found that the coordinates of T are given as follows:
T(5.5, 1.75).
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
T partitions DF in a 3:1 ratio, hence the following proportion is established:
T - D = 3/4(F - D)
T - D = 0.75(F - D).
Hence the x-coordinate of T is found as follows:
x - 1 = 0.75(7 - 1)
x - 1 = 4.5
x = 5.5.
The y-coordinate of T is found as follows:
y - 4 = 0.75(1 - 4)
y - 4 = -2.25
y = 1.75.
Hence the coordinates of T are:
T(5.5, 1.75).
More can be learned about proportions at https://brainly.com/question/14398287
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