Using proportions, according to the ratio of the partition, it is found that the location of point g is at 3.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, point g partitions the directed line segment from d to f into a 5:4 ratio, hence:
![g - d = \frac{5}{9}(f - d)](https://tex.z-dn.net/?f=g%20-%20d%20%3D%20%5Cfrac%7B5%7D%7B9%7D%28f%20-%20d%29)
We have that d = -2 and f = 7, hence:
![g - d = \frac{5}{9}(f - d)](https://tex.z-dn.net/?f=g%20-%20d%20%3D%20%5Cfrac%7B5%7D%7B9%7D%28f%20-%20d%29)
![g + 2 = \frac{5}{9}(7 + 2)](https://tex.z-dn.net/?f=g%20%2B%202%20%3D%20%5Cfrac%7B5%7D%7B9%7D%287%20%2B%202%29)
g + 2 = 5.
g = 3.
More can be learned about proportions at brainly.com/question/24372153
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It would be smaller because 11/12 = 22/24
7/9 because you divide by the common multiplier 3
Answer:
x =127
Step-by-step explanation:
Since this is a 6 sided figure, the sum of the interior angles is 720
128+133+112+x+120+100 = 720
Combine like terms
x+593=720
Subtract 593 from each side
x+593-593 = 720-593
x =127