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Anika [276]
3 years ago
9

Which of the following is not a pair of similar polygons?

Mathematics
2 answers:
Vlada [557]3 years ago
7 0
All angled are congruent correct answer or at least the way is see wish u luck :)
mestny [16]3 years ago
4 0

Answer: The answer is the last figure, figure (D). Attached the image.

Step-by-step explanation:  We are given four pairs of polygons and we are to select the pair in which the two polygons are not similar.

In the first pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{2}{\frac{2}{3}}=\dfrac{4}{\frac{4}{3}}=3.

So, the polygons are similar.

In the second pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{2.82}{1.41}=\dfrac{2.24}{1.12}=\dfrac{3}{1.5}=2.

So, the polygons are similar.

In the third pair of polygons, the ratio of the corresponding sides will be same as follows:

\dfrac{1.41}{1.41}=\dfrac{1.12}{1.12}=\dfrac{1.5}{1.5}=1.

So, the polygons are similar.

In the fourth pair of polygons, we have

\dfrac{12}{\frac{4}{3}}=12\times\dfrac{3}{4}=9,

and

\dfrac{4}{\frac{2}{3}}=4\times\dfrac{3}{2}=6\neq 9.

So, the polygons are not similar in this case.

Thus, the last figure, attached herewith, is the correct option.

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a) Total cost (per day) ≈ $1.40

​b) Total cost (per year) ≈ $510

c) New annual cost = $327

d) The number of years that the water heater pays for itself is; approximately 4 years

<h3>How to calculate Energy Bill?</h3>

Wattage per hour = 4200 Watts per hour

Number of hours per day = 3 hours

Cost per unit = $0.11 per kilowatt-hour

Savings rate = 36%

Cost water heater = $1,100

a) The total wattage is the product of the wattage per hour and the number of hours;

Total wattage (per day) = Wattage per hour × Number of hours

= 4,200 watts per hour × 3 hours

= 12,600 watt-hours

= 12.6 kilowatt-hours

​

The total cost is then the product of the total wattage and the cost per unit:

Total cost (per day) = Total wattage × Cost per unit

Total cost (per day) = 12.6 kilowatt-hours × $0.11 per kilowatt-hour

Total cost (per day) = $1.386

Total cost (per day) ≈ $1.40

​

b) The total cost in a year is the product of the total cost in a day and the number of days in a year. There are 365 days in a year (assuming no leap year).

Total cost (per year) = Total cost (per day) × Number of days in a year

Total cost (per year) = $1.40 × 365

Total cost (per year) = $511

Total cost (per year) ≈ $510

​

c) We are told that this new water heater saves 36% of annual cost. Thus;

Amount saved = 36% * 510 = $183.6

Thus;

New annual cost = $510 - $183 = $327

d) The number of years that the water heater pays for itself is;

1100/327 = 3.36 or approximately 4 years

Read more about Energy Costs at; brainly.com/question/14277272

#SPJ1

6 0
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