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tekilochka [14]
1 year ago
13

WILL MAKE BRAINLIEST!!! Match the correct scale factor to each dilation. Solve for a and b

Mathematics
1 answer:
White raven [17]1 year ago
4 0

Answer:

I am having a hard time reading the letters, so I hope this makes sense.  I think that the numbers for the top triangles is given is 6 and 3.  That means that the scale factor from the little to the big is 2 and from the big to the little is 1/2.  It is the same for the bottom triangles.

Step-by-step explanation:

If the triangles are similar the scale factors will be the same for all three corresponding sides of the triangle.  You find the two sides that are corresponding and ask yourself what do I have to multiple the side of of triangle to get the new triangle.  

If one side is 3 and the other triangles side is 6.  I am asking myself what do I have to multiple 3 by to get 6?  2.  That is my scale factor.

3x = 6

x = 2

The scale factors are always reciprocals of each other.  If I go the other direction I can write the equation

6x = 3 and when I divide both sides by 6, I get a scale factor of 1/2.

The bottom triangles:

2.5 x = 5

x = 2

and

5x = 2.5

x =1/2

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the sum of three consecutive even integers is 6 subtracted from 4 times the middle number. Find the 3 numbers
anygoal [31]

Answer:

The three consecutive even integers are 4,6,8

Step-by-step explanation:

Let the three consecutive even integers be  2x, 2x+2, 2x + 4

Middle number = 2x +2

2x + 2x+2 + 2x + 4 = 4* (2x+2) - 6

6x + 6 = 4*2x + 4*2 - 6

6x + 6 = 8x + 8 -6

6x + 6 = 8x + 2

6x - 8x = 2 -6

-2x = -4

x = -4/-2

x = 2

The three consecutive even integers are  

2x = 2*2 = 4

2x+2 = 2*2 +2 =4 + 2 = 6

2x + 4 = 2*2+4 = 4+4 = 8

8 0
2 years ago
A clinical trial was conducted to test the effectiveness of a drug for treating insomnia and older subjects before treatment 14
RideAnS [48]

Answer:

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given data mean of the Population = 104 minutes

Given sample size 'n' =14

Mean of the sample(x⁻)  = 95.9 minutes

Given Standard deviation  = 24.4 minutes

<u><em>Step(ii)</em></u>:-

99% confidence interval estimate of the mean weight time for a population is determined by

(x^{-} - Z_{0.01} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.01} \frac{S.D}{\sqrt{n} })

(95.9 - 2.576\frac{24.4}{\sqrt{14} } , 95.9+2.576\frac{24.4}{\sqrt{14} })

On calculation , we get

(95.9 -16.79 , 95.9 +16.79)

(79.11 , 112.69)

<u><em>Conclusion:</em></u>-

99% confidence interval estimate of the mean weight time for a population with drug treatments

(79.11 , 112.69)

7 0
2 years ago
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valentinak56 [21]

Answer:

3. is B

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Step-by-step explanation:

6 0
3 years ago
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Mars2501 [29]

Answer:

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Step-by-step explanation:

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8 0
2 years ago
Solving system of equations<br><br> 1.x=3+y<br> x+4y=6
kondor19780726 [428]
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2.
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</span></span>Answer:<span>x=<span>y+<span>3



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4 0
3 years ago
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