We will use the formula for the slope:
m = ( y2- y1 ) / ( x2 - x1 )
For PQ : m = ( 0 - 0 ) / ( a + c - 0 ) = 0
For RS : m = ( b - b ) / ( a - ( 2a + c )) = 0
Both slopes are m = 0, so PQ and RS are parallel to x - axis and at the same time parallel to each other ( PQ | | RS ). One pair of opposite sides is parallel.
Answer:
B (5,2)
Step-by-step explanation:
Using the midpoint formula, the coordinates of the intersection of the diagonals of the parallelogram is: (1, 2.5).
<h3>What are Diagonals of a Parallelogram?</h3>
The diagonals of a parallelogram bisect each other, therefore, the coordinates of their intersection can be determined using the midpoint formula, which is:
.
A diagonal is XZ.
X(2, 5) = (x1, y1)
Z(0, 0) = (x2, y2)
Plug in the values

= (1, 2.5).
Learn more about the diagonals of a parallelogram on:
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The term (2 + 8) is described as the total amount of pieces of fabric. It makes it easier to put this term this way so you wouldn't have to do (8 x 5) + (2 x 5) and do the distributive property.
Answer:
y = -x
Step-by-step explanation:
The line has a slope of -1 and it passes through point (0,0)
Taking another point (x,y) on the line;
Slope = change in y ÷ change in x
For our case; slope = 
Cross multiplying this gives;
y = -x