Answer18:
The quadrilateral ABCD is not a parallelogram
Answer19:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
For question 18:
Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope is 90 degree
The slope of a line BC:
m=
m=
m=
The slope is zero degree
The slope of a line CD:
m=
m=
m=
The slope is 90 degree
The slope of a line DA:
m=
m=
m=
m=
The slope of the only line AB and CD are the same.
Thus, The quadrilateral ABCD is not a parallelogram
For question 19:
Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)
The slope of a line is given m=
Now,
The slope of a line AB:
m=
m=
m=
The slope of a line BC:
m=
m=
m=
m=3
The slope of a line CD:
m=
m=
m=
The slope of a line DA:
m=
m=
m=3
The slope of the line AB and CD are the same
The slope of the line BC and DA are the same
Thus, The quadrilateral ABCD is a parallelogram
Answer:
180 miles
Step-by-step explanation:
Step one:
capacity of tank= 18.5gallons
vehicle averages 666 miles per tank.
Hence, the vehicle can travel 666 miles on 18.5 gallons
Required
The distance covered on 5 gallons
Step two:
vehicle can travel 666 miles on 18.5 gallons
the vehicle will go x miles on 5 gallons
cross multiply we have
5*666= 18.5*x
3330=18.5x
divide both sides by 18.5
x= 3330/18.5
x=180 miles
C) The mean Value is closer to the middle of the range than the Median
Hope this helped!
Answer:
-38
Step-by-step explanation: