Okay to find the perpendicular bisector of a segment you first need to find the slope of the reference segment.
m=(y2-y1)/(x2-x1) in this case:
m=(-5-1)/(2-4)
m=-6/-2
m=3
Now for the the bisector line to be perpendicular its slope must be the negative reciprocal of the reference segment, mathematically:
m1*m2=-1 in this case:
3m=-1
m=-1/3
So now we know that the slope is -1/3 we need to find the midpoint of the line segment that we are bisecting. The midpoint is simply the average of the coordinates of the endpoints, mathematically:
mp=((x1+x2)/2, (y1+y2)/2), in this case:
mp=((4+2)/2, (1-5)/2)
mp=(6/2, -4/2)
mp=(3,-2)
So our bisector must pass through the midpoint, or (3,-2) and have a slope of -1/3 so we can say:
y=mx+b, where m=slope and b=y-intercept, and given what we know:
-2=(-1/3)3+b
-2=-3/3+b
-2=-1+b
-1=b
So now we have the complete equation of the perpendicular bisector...
y=-x/3-1 or more neatly in my opinion :P
y=(-x-3)/3
Measure of E is congruent to K, so E is 50 degrees.
Measure of G is congruent to L, so G is 105 degrees.
Measure of F is congruent to J, J is 180 deg - 50 deg - 105 deg = 25 degrees, so F is 25 degrees.
<u><em>The proof I am using is the Corresponding Angles Postulate.</em></u>
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I NEED BRAINLIEST!
Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is 
And length is 
and width is 
That is V=5cm^3[/tex] , 
and 
We have the volume of the rectangular prism V=lwh cubic centimeter
Substituting the values in above formula
Rewritting as below
Therefore the height is 5cm
A because I know I’m right because I studied a little bit and I got to get it right
