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alisha [4.7K]
3 years ago
13

Triangle FGH is dilated agout the origin make triangle F'G'H' as shown here. Which rule represents the dilation applied to trian

gle FGH to create triangle F'G'H'?

Mathematics
1 answer:
elena-s [515]3 years ago
7 0

Answer:

Answer is J

Step-by-step explanation:

Count the height of each traingle and divide both of them, it's also going to be greater than 1X since the dialted image is larger than the original

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(8+6)/(7+8+6)
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The measures of three angles of a quadrilateral are 70, 125, and 89 degrees. Find the measure of the fourth one.

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3 years ago
A resident of Bayport claims to the City Council that the proportion of Westside residents
Kazeer [188]

Answer:

The test statistics is  z =  -1.56  

The p-value is   p-value =  0.05938

Step-by-step explanation:

From the question we are told  

   The West side sample  size is n_1  =  578

    The  number of residents on the West side with income below poverty level is k  = 76

    The East side sample size  n_2=688

  The  number of residents on the East side with income below poverty level is u  = 112

   The null hypothesis is  H_o  :  p_1 = p_2

    The alternative hypothesis is  H_a :  p_1 <  p_2

Generally the sample proportion of  West side is  

     \^{p} _1 = \frac{k}{n_1}

=>   \^{p} _1 = \frac{76}{578}

=>   \^{p} _1 =  0.1315

Generally the sample proportion of  West side is  

     \^{p} _2 = \frac{u}{n_2}

=>   \^{p} _2 = \frac{112}{688}

=>   \^{p} _2 =  0.1628

 Generally the pooled sample proportion is mathematically represented as

    p = \frac{k + u}{ n_1 + n_2 }

=>  p = \frac{76 + 112}{ 578 + 688 }

=>  p =0.1485

Generally the test statistics is mathematically represented as

z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2}  ]}  }

=> z = \frac{ 0.1315  - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688}  ]}  }  

=> z =  -1.56  

Generally the p-value  is mathematically represented as

          p-value =  P(z <  -1.56 )

From z-table  

         P(z <  -1.56 ) =  0.05938

So

     p-value =  0.05938

3 0
3 years ago
Can someone please help it’s for dance class not mathematics
Zinaida [17]
2. marking choreography is essential to your memory of the dance without having to go all out of each time to practice.
6 0
3 years ago
Given the g(x)=f(x) + k, identify a value of k that transforms f into g
Yuliya22 [10]

Answer:

a vertical shift of 6 units up

Step-by-step explanation:

We have the transformation:

g(x) = f(x) + k

This is what we call a vertical shift, this transformation moves the graph of f(x) k units, and the motion is upwards if k is positive, and downwards if k is negative.

Here we can see that the graph of f(x) intersects the y-axis at y = -2

While the graph of g(x) intersects the y-axis at y = 4.

Then the distance between these two points is:

4 - (-2) = 6

This means that the graph of g(x) is 6 units above the graph of f(x)

Then we have that k must be equal to 6, then the transformation is:

g(x) = f(x) + 6

This is a vertical shift of 6 units up.

8 0
3 years ago
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