Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
3000:100×6=180 liters
180×1,2=216 $
216÷6=36$/friend
Slope = -1/5
Coordinate = (1, -4)
We know, y - y1 = m(x - x1)
y + 4 = -1/5 (x - 1)
y + 4 = -1/5x + 1/5
y = -1/5x -19/5
When, x = 1, y = -1/5(1) - 19/5 = -20/5 = -4
x = 2, y = -1/5(2) - 19/5 = -21/5
x = 3, y = -1/5(3) - 19/5 = -22/5
Here, Your Coordinates would be: (0, -4), (1, -21/5), (2, -22/5)
Mark them & draw the lines. Graph is done!
Hope this helps!
The new matrix that is formed by the 3A + B is given below. Then the value of x is 102.

<h3>What is the matrix?</h3>
A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The
element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrices are given below.

Then the new matrix is given as 3A + B. Then we have

More about the matrix link is given below.
brainly.com/question/9967572
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