First, you have to find the equation of the perpendicular bisector of this given line.
to do that, you need the slope of the perpendicular line and one point.
Step 1: find the slope of the given line segment. We have the two end points (10, 15) and (-20, 5), so the slope is m=(15-5)/(10-(-20))=1/3
the slope of the perpendicular line is the negative reciprocal of the slope of the given line, m=-3/1=-3
step 2: find the middle point: x=(-20+10)/2=-5, y=(15+5)/2=10 (-5, 10)
so the equation of the perpendicular line in point-slope form is (y-10)=-3(x+5)
now plug in all the given coordinates to the equation to see which pair fits:
(-8, 19): 19-10=9, -3(-8+5)=9, so yes, (-8, 19) is on the perpendicular line.
try the other pairs, you will find that (1,-8) and (-5, 10) fit the equation too. (-5,10) happens to be the midpoint.
Answer: You would put the 35° and the 4x+7° equal to each other.
Step-by-step explanation:
1. 4x+7=35
2. 4x+7=35 -> Subtract 7 from the positive 7 and the 35
-7 -7
3. 4x=28 -> Divide 4x and 28
4. x=7
The correct option is: Option (C) 2Explanation:The slope formula is = m =
Insert the values in the above formula:
m =
Which is Option (C).
Answer:
B
I hope this could help you ^^
Answer:
option C. 
Step-by-step explanation:
we know that
The volume of the triangular pyramid is equal to
where
B is the area of the triangular base
h is the height of the pyramid
In this problem we have
substitute in the formula
