BC/DC = 8/3.2 = 2.5
AB/BD = 12.5/5 = 2.5
AC/BC = 20/8 = 2.5
Since the results are all 2.5, this means that the triangles are similar triangles.
The justification you would use is the SSS similarity theorem.
SSS = side side side
9514 1404 393
Answer:
$880
Step-by-step explanation:
If r is the rent charged, then the number of $40 increments of increase will be ...
(r -800)/40
and the number of occupied apartments will be ...
120 -5(r -800)/40
The gross income (g) will be the number of apartments times the rent charged, or ...
g = r×(120 -5(r -800)/40) = (1/8)r(1760 -r)
The equation describes a parabola with zeros at r=0 and r=1760. The vertex will be on the line of symmetry, halfway between those zeros. The maximum gross income will be had when the rent is 1760/2 = 880.
$880 should be charged for rent to maximize gross income.
Circumfrence is to a circle as perimeter is to a polygon. The circumfrence of a circle always equals the diameter (or two times the radius, since the radius is half of the diameter) times pi.
The circumfrence would be 7926.41π miles because of this.
Should you round pi to 3.14, the circumfrence would be 7926.41 * 3.14.
This is equal to <span>24888.9274 miles. (round that if needed)</span>
Answer:
2.3+r=7.1
move all terms to the left:
2.3+r-(7.1)=0
add all the numbers together, and all the variables
r-4.8=0
move all terms containing r to the left, all other terms to the right
r=4.8 is the answer
