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posledela
2 years ago
14

Reflect the shape A in the line x=1

Mathematics
1 answer:
aniked [119]2 years ago
6 0

Answer:

reflected image shown in red on attached diagram

Step-by-step explanation:

When reflecting an object in the line x = a:

  • reflected x-values: 2a - x
  • reflected y-values are the same as the original y-values

So when reflecting in the line x = 1

  • given x-value = 2, so reflected x-value = 2(1) - 2 = 0
  • given x-value = 4, so reflected x-value = 2(1) - 4 = -2

(2, 7) → (0, 7)

(2, 4) → (0, 4)

(4, 4) → (-2, 4)

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Ymorist [56]
The draw an inscribed polygon inside the circle, the very thing to do is to draw the circle. Thus, the answer is the fourth choice, "Place a point on your paper and then use a compass to construct a circle". After which, we can locate the vertices of the polygon in the circumference of the circle and connect them to make the polygon. 
6 0
3 years ago
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,
Andreyy89

Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ (z_{\alpha /2 × σ ) / E ]²

given that confidence level = 95%, so z_{\alpha /2  = 1.96

Now,

a) Margin of error E = 500

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

7 0
3 years ago
This may make me look dumb but idk what to do. I need answers please
max2010maxim [7]
Angle 1: 36 degrees - It is opposite to angle 4, and is therefore equal. To solve for angle 4, you have to do 90 - angle 3 (because it is a right angle and totals 90)
Angle 2: 90 degrees - It is a right angle
Angle 4: 36 degrees (explained above)
Angle 5: 90 degrees - It is a right angle. It is also an opposite angle to angle 2, and is therefore equal to it. 

Since the two diagonal lines are parallel, the angles will relate to each other. 

Angle 7: 126 - It will be 180 - angle 10 (because a straight line = 180)
Angle 8: 54 - It is opposite to angle 10, and is therefore equal
Angle 9: 126 - It will be 180 - angle 8 (because a straight line = 180). It is also an opposite angle 7, and is therefore equal
Angle 10: You already figured this one out! :)
Angle 11: 36 degrees - A triangle is 180, and angles 11, 5, and 8 all make up a triangle. Therefore, 180 - angle 5 - angle 8 = angle 11
Angle 12: 144 degrees - It will be 180 - angle 13 (because a straight line = 180). 
Angle 13: 36 degrees - it is opposite to angle 11, and is therefore equal
Angle 14: 144 degrees - it is opposite to angle 12, and is therefore equal

I hope this helps!
8 0
3 years ago
I am not sure how to slove
notsponge [240]

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

5 0
3 years ago
of all the murder victims in 2010 whose relation to the offender was known, 24.8% were killed by a family member and 53% by an a
ICE Princess25 [194]
The answer is 30,000 and i know cuz 2 go in 5 3 times then add 0
5 0
3 years ago
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