Answer:
the exact length of the midsegment of trapezoid JKLM = 
i.e 6.708 units on the graph
Step-by-step explanation:
From the diagram attached below; we can see a graphical representation showing the mid-segment of the trapezoid JKLM. The mid-segment is located at the line parallel to the sides of the trapezoid. However; these mid-segments are X and Y found on the line JK and LM respectively from the graph.
Using the expression for midpoints between two points to determine the exact length of the mid-segment ; we have:
Thus; the exact length of the midsegment of trapezoid JKLM = i.e 6.708 units on the graph
Answer:
see the attached picture please
3x+6y=12
-3x -3x
6y=-3x+12
*divide by 6 on both sides*
y= -1/2x+2
Slope: -1/2
Y-intercept: 2
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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Answer:
Deductive reasoning
Step-by-step explanation:
Here, we want to know the kind of reasoning the statement is.
In this question, the kind of reasoning is deductive
In the deductive reasoning type, we go from general cases to specific cases
It is just like saying the reason why there will be hurricanes in the tropics this fall is because there is an hurricane every fall
So we have gone from a general case to give a specific case
