1. Definition of bisector
2. ASA congruence theorem or ASA Postulate
Answer:
F = 3x +(2.7×10^7)/x
Step-by-step explanation:
The formulas for area and perimeter of a rectangle can be used to find the desired function.
<h3>Area</h3>
The area of the rectangle will be the product of its dimensions:
A = LW
Using the given values, we have ...
13.5×10^6 = xy
Solving for y gives ...
y = (13.5×10^6)/x
<h3>Perimeter</h3>
The perimeter of the rectangle is the sum of the side lengths:
P = 2(L+W) = 2(x+y)
<h3>Fence length</h3>
The total amount of fence required is the perimeter plus one more section that is x feet long.
F = 2(x +y) +x = 3x +2y
Substituting for y, we have a function of x:
F = 3x +(2.7×10^7)/x
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<em>Additional comment</em>
The length of fence required is minimized for x=3000. The overall size of that fenced area is x=3000 ft by y=4500 ft. Each half is 3000 ft by 2250 ft. Half of the total 18000 ft of fence is used for each of the perpendicular directions: 3x=2y=9000 ft.
Remark
You have 40 dollars to spend.
<em><u>AT & T</u></em>
Let the number of minutes = M
A. 20 + 0.10*M ≤ 40
B. 20 + 0.10*M ≤ 40 Subtract 20 from both sides.
20 - 20 + 0.10M ≤ 40 - 20
0.10M ≤ 20 Divide by 0.10
0.10M/0.10 ≤20/0.10
M≤ 200 minutes.
Verizon
A
15 + ( M ≥ 300)*0.50 ≤ 40
B
15 + ( M ≥ 300)*0.50 ≤ 40 Subtract 15 from both sides.
(M≥300)*0.50 ≤ 25
(M≥300) ≤ 50 minutes.
This last one is a good deal more complicated. What it means is that if you are under 300 minutes, you pay only 15 dollars. If you are over 300 minutes, you can only go 50 more minutes before over extend your budget.
Part C
These are alike in that they have a flat rate associated with them and both have a budgeted amount that has to be obeyed.
They are quite different in what they offer. The second plan is for people who use their cell phone quite a bit. For people like us (emergency only), the first plan is much better. We would always be within our 40 dollar limit. We don't use our cell but maybe 10 - 15 minutes a month on average.
Part D
I can't answer this for you. It depends on where you live and who offers you the best coverage. I would pick the first one, but that doesn't mean that it would be best for you.
100*0.435=43.5 this is the answer
