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nikklg [1K]
2 years ago
4

Triangle ABC Triangle ABC ​is transformed with the center of dilation at the origin. Pre-image: △ABC with vertices A(−5, −4), B(

−7, 3), C(3, −2) Image: △ A ′ B ′ C ′ with vertices A ′ (−3.75, −3), B ′ (−5.25, 2.25), C ′ (2.25, −1.5) What is the scale factor of the dilation that maps the pre-image to the image? Enter your answer in the box.
Mathematics
2 answers:
Nataliya [291]2 years ago
7 0
The answer is 1/4

hope this helps 
BigorU [14]2 years ago
4 0

Answer:

3/4

Step-by-step explanation:

even though this is a year late for the real answer its helpful i help so i get same back faster

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Using the standard normal table, the probability that Seth’s light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is abo
lana66690 [7]

Answer:

How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .

5 0
1 year ago
Read 2 more answers
An online furniture store sells chairs for $200 each and tables for $600 each. Every day, the store can ship a maximum of 32 pie
wolverine [178]

Answer:

If the minimum 13 chair were sold , then the minimum number of Table sold is 14

Step-by-step explanation:

Given as :

The cost of each chair = $ 200

The cost of each table = $ 600

The total number of furniture sold per day = 32

The minimum amount of selling per day = $ 12000

Let the total number of chair = C

The total number of table = T

So , according to question

C + T = 32         .......1

200 C + 600 T = 12000         .......2

Solving eq 1 and 2

200 C + 600 T = 12000

200 × ( C + T ) = 32 × 200

I.e 200 C + 200 T = 6400

or, ( 200 C + 600 T ) - ( 200 C + 200 T ) = 12,000 - 6400

Or, 400 T =  5600

∴  T = \frac{5600}{400}

I.e T = 14

Put The value of T in eq 2

So, 200 C + 600 × 14 = 12000

or , 200 C + 8400 = 12,000

Or, 200 C = 12000 - 8400

Or, 200 C = 3600

∴   C = \frac{3600}{200}

I.e C = 18

The number of chair sold is 18

If the number of chair sold is 13 ,

Then the min number of table sold = 200 × 18 + 600 T = 12000

i.e 600 T = 12000 - 3600

or, 600 T = 8400

∴   T = \frac{8400}{600}

I.e T = 14

Hence if the minimum 13 chair were sold , then the minimum number of Table sold is 14 . Answer

5 0
2 years ago
The circle will be dilated by a scale factor of 6. What is the value for n if the expression nPI represents the circumference of
IgorLugansk [536]
A dilation by a scale factor of 6 will cause the radius to increase by a factor of 6. So r_{new} = 6r. If we plug this value of r into the formula for the circumference of a circle we get C = 2\pi r_{new} = 2\pi *6r = 12\pi r

So basically N = 12r. You haven't given me any original radius, so I can't give you a constant for N, but if you do have that original radius you can just plug that into 12r.

Based on your comment, N = 12 * 9 = 108 inches
8 0
2 years ago
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The enrollment at sunshine College has been increased by 45 students per year. Currently sunshine College has 1100 students atte
docker41 [41]

Answer:

After 15 years both the colleges will have same number of students.

Step-by-step explanation:

The enrollment at sunshine College has been increased by 45 students per year. Currently, sunshine College has 1100 students attending.

So, after x years the number of students of this college will be (1100 + 45x).

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So, after x years the number of students of this college will be (2000 - 15x).

If those two colleges have the same number of students after x years, then we can write

1100 + 45x = 2000 - 15x

⇒ 60x = 900

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7 0
2 years ago
Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation?
Nady [450]
For this case we have the following polynomial:
 x ^ 2 = 12x - 15

 The first thing to do is to place the variables on the same side of the equation.
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 x ^ 2 - 12x = -15

 We complete the square by adding the term (b / 2) ^ 2 on both sides of the equation.
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 Rewriting we have:
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x ^ 2 - 12x + 36 = -15 + 36
 
(x-6) ^ 2 = 21
 x-6 =+/- \sqrt{21}
 Therefore, the solutions are:
 x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
 Answer:
 
the solution set of the equation is:
 
x = 6 - \sqrt{21}
 x = 6 + \sqrt{21}
3 0
2 years ago
Read 2 more answers
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