The set of parallel lines in a quadrilateral leads to the parallelogram.
<h3>What is a quadrilateral?</h3>
Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
Line M
x - y + 3 = 0,
y = x + 3
m = 1
Line L
y = x - 2,
m = 1
Line N
y = -1/2x + 5,
m = -0.5
Line P
x+2y+12=0
y = -x/2 - 6
m = -0.5
Here we can see that the slope of line M and L are equal and slope of line N and P are equal.
That quadrilateral in which opposite sides are parallel is called a parallelogram.
Hence, the set of parallel lines in a quadrilateral leads to the parallelogram.
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Assuming that the room is rectangle and carpet is rectangle
area=legnth times width
legnth=longer than width
12 is longer than 8
12ft=legnth
8ft=width
now convert to yards
1 yard=3 feet
1 foot=1/3 yard
12 ft times 1/3=4yards
8 ft times 1/3=8/3yards
multiply
area=4 tiimes 8/3
area=32/3
area=10 and 2/3 square yards
The answer to o this question is the fourth answer or d
180 = 2x-10+x+30+70
180 = 3x+90
90 = 3x
x = 30
2(30)-10 =50
Answer:
32
Step-by-step explanation:
(a+b)²=a²+2ab+b²=(a²+b²)+2ab=16+2*8=32
