Lauren would like to find the midpoint of a line segment that has endpoints at (–0.5, 3) and (4, 7.5). Which statements are true
2 answers:
Answer with explanation:
We have to find the mid point of the points P (-0.5,3) and Q(4,7.5) that lie on two dimensional coordinate system .Suppose mid point of PQ is R(x,y).
→Mid point of a line segment means that point on the line segment which divides the Segment in the ratio of 1:1.
→Mid point formula , point joining is
→So, Mid point of line segment that has endpoints at (–0.5, 3) and (4, 7.5) is
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Perimeter of quadrilateral ANCM = AN+NC+CM+MA
CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.
Perimeter (P) = 4x in
Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in
Therefore, P=4*20.5 = 82 in
CM=AM = x in
Therefore, AN=NC = x in
In other words, all sides of the new quadrilateral are equal.
Perimeter (P) = 4x in
Now, Cos 45 = (x-6)/x =>0.7041 = (x-6)/x => 0.7041x=x-6 =>x= 6/(1-0.70741)
x= 20.5 in
Therefore, P=4*20.5 = 82 in