Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
So the "new" line will go through this point.
Onto the slope:
so the slope is
m = -4. That means that the perpendicular slope is
Now we're ready to write the equation:
and
and finally,
AD = DB
Angle ADE = Angle CDB
Angle DAE = Angle DBC (Alternate angles)
Angle DEA = Angle DCB (Alternate angles)
Since you have two congruent angles and one congruent side, triangle ADE is congruent to triangle CDB. This means that DE is congruent to DC implying D is the midpoint of CE.
#2) 435+25x=875-15x
40x=440
x=11
the answer is 11 weeks.
#3) 2500(3x) for x=10
2500(3*10)
2500(30)
7500
the answer is 7500 bacteria after 10 months.
A) the scale factor of the smaller pyramid to the larger pyramid in simplest form is 24:30 = 4:5
b) the ratio of the area of the base of the smaller pyramid to the
larger pyramid.
From the scale factor, the ratio of the area of the base of the smaller pyramid to the larger pyramid is 4^2 : 5^2 = 16:25
Answer:
0.5025%
Step-by-step explanation:
The question is on increase and decrease
The old interest rate= .5%⇒0.5%
percentage increase= 1/2%= 0.5%
New rate= it requires you to increase 0.5 by 0.5%
New rate is ⇒100%+ 0.5%=100.5%
New rate⇒(100.5/100)×0.5 =0.5025
New rate as a decimal is 0.5025%
