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babunello [35]
1 year ago
14

A. Show one pair of corresponding points and two pairs of corresponding sides in the original polygon and its copy. B. what scal

e factor takes the original polygon to its smaller copy?

Mathematics
1 answer:
Lera25 [3.4K]1 year ago
6 0

Answer:

Step-by-step explanation:

(A).Two corresponding sides of the given figures will be,

AB and DE

BC and EF

Similarly one pair of corresponding points will be,

A and D.

(B). Since large figure has been scaled to the smaller image,

Scale factor = \frac{\text{Side of the image}}{\text{Side of the actual figure}}

                    = \frac{\text{AB}}{\text{DE}}

                    = \frac{0.5}{2}

                    = 0.25

Therefore, scale factor will be 0.25.

Guest
1 year ago
where do you get the letters from/
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15,000 blue trout were released into the Meherrin River for a scientific study. The function, f(x) = 15,000 (98)x , represents t
Norma-Jean [14]

Answer:

I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).

Step-by-step explanation:

Starting equation: f(x)=15,000(9/8)^x

You can clean up the 9/8 to be 1.125

Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707

Next multiply 1.8020324707 by 15,000 and you get 27030.4870605

Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.

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2 years ago
A fish tank is three-quarters (3/4) full. two-thirds (2/3) of the water leaks out, leaving 10 gallons of water in the tank. what
Naily [24]

To solve this problem, all we have to do is to thoroughly analyze the situation step by step.

First let us work on the remaining 10 gallons of water in the tank. We are given that 2 / 3 of the water initially in the tank leaked out. Therefore this means that we are left with 1 / 3 the original amount of water which is 10 gallons, hence:

(1 / 3) Vi = 10 gallons

where Vi is the initial volume of water inside the tank, calculating for Vi:

Vi = 3 (10 gallons)

Vi = 30 gallons

 

We are also given that this initial volume of water is just 3 / 4 of the total capacity of the tank, therefore:

(3 / 4) Vc = Vi

where Vc is the volume capacity of the tank, calculating for Vc:

Vc = 4 Vi / 3

Vc = 4 (30 gallons) / 3

Vc = 40 gallons

 

Answer:

<span>Capacity of the fish tank is 40 gallons</span>

3 0
2 years ago
Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution?
Nataly [62]

Answer:

B    (2,1)

Step-by-step explanation:

7 0
2 years ago
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Sean has 15,000 to invest she will put some of it into a fund that pays 4.5% annual interest in the rest in a certificate of dep
DENIUS [597]

Answer:$12500 was invested into the account that pays 4.5% annual interest..

$2500 was invested into the the certificate of deposit that pays 1.8% annual interest..

Step-by-step explanation:

Let x represent the amount invested into the account that pays 4.5% annual interest.

Let y represent the amount invested into the certificate of deposit that pays 1.8% annual interest.

Sean has 15,000 to invest. She will put some of it into a fund that pays 4.5% annual interest and the rest in a certificate of deposit that pays 1.8% annual interest. This means that

x = y + 15000

The formula for simple interest is expressed as

I = PRT/100

Where

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R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 4.5% interest, the interest would be

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Considering the account earning 11% interest, the interest would be

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if she wants to earn 4.05% annual interest on the total amount, the amount would be

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0.045x + 0.018y = 607.5 - - - - - - - - - - -1

Substituting x = 15000 - y into equation 1, it becomes

0.045(15000 - y) + 0.018y = 607.5

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y = - 67.5/- 0.027

y = $2500

x = 15000 - y = 15000 - 2500

x = $12500

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2 years ago
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bezimeni [28]

Answer:

a

Step-by-step explanation:

-4,0,4,8,12,16

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