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.
The correct answer is a. 47.10 - 25 + d = 97.43.
This is because you have to subtract the $25, because it is a withdrawal, or taking out of money.
This rules out options C and D.
Also, Tina made a deposit of an amount that she can't remember. A deposit is adding a certain amount of money, so you have to +d.
This rules out option B.
The only option left is option A, which makes complete sense.
I believe B - 56 and the other two would be 17? but I’m not completely sure
