Answer:
i'm pretty sure that it is 27 due to vertical angle theorem
let me know if its right :)
Step-by-step explanation:
First we will change them on the same denominator which will be 12. If we do something to the denominator we must do the same to the numerator so :
For 1/3 we get 4/12 because (1/3)*4 = 4/12
And for 2/3 we get 8/12 because (2/3)*4 = 8/12
So 1/3 is the smaller fraction, 7/12 is in the middle and 2/3 is the bigger fraction.
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
<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. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
More can be learned about proportions at brainly.com/question/24372153
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There are several different equations that can be used to find missing sides, these can be trigonometric functions or the distance formula. The trigonometric functions consist of sine (opposite/hypotenuse), cosine (adjacent/hypotenuse), and tangent (opposite/adjacent. The adjacent side is represented by the side next to the given angle measure, the opposite is the side that is connected to adjacent side and across from the given angle, and the hypotenuse is the diagonal that connects the opposite side to the given angle- most notable because its line isn't straight like the other sides.
The distance formula is used to find the measurement of missing side lengths in all quadrilaterals, and it's: D = sqrt(x2 - x1)^2 + (y2 - y1)^2 where x are the x-coordinates of two given points and y are the y-coordinates of the same two given points.
One solution.
They have different slopes and therefore have one solution.
