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denis-greek [22]
2 years ago
13

Quadrilateral A B C D is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral X Y

Z W. Quadrilateral ABCD is translated up and to the right, and then rotated about point Q. Which congruency statement is correct? ABCD ≅ WXYZ ABCD ≅ ZYXW ABCD ≅ WZYX ABCD ≅ ZWXY.
Mathematics
1 answer:
pogonyaev2 years ago
6 0

When a triangle is translated, the resulting triangle will be congruent to the original triangle.

The congruency statement is ABCD = ZYXW

Given

Quadrilateral ABCD is translated up and to the right and then is rotated 180 degrees about point Q to form quadrilateral XYZW.

Quadrilateral ABCD is translated up and to the right and then rotated about point Q.

<h3>What is translation?</h3>

When a triangle is translated, the resulting triangle will be congruent to the original triangle.

From the complete question, corresponding points are:

Point A and point Z

Point B and point Y

Point C and point X

Point D and point W

This means that:

Points A and Z are corresponding.

Points B and Y are corresponding.

Points C and X are corresponding.

Points D and W are corresponding.

Hence, the congruency statement is ABCD = ZYXW

To know more about translation click the link given below.

brainly.com/question/2845970

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Use the Euclidean algorithm to determine the greatest common divisor of 2288 and 4875
Irina-Kira [14]

Answer:

13

Step-by-step explanation:

We have to find greatest common divisor of two number 2288 and 4875.

Now, greatest common divisor of two number is defined as the highest common factor that divides both the number.

We can use the Euclidean algorithm to do so.

Since 4875 is the larger of the two number

4875 ÷ 2288: Quotient = 2, Remainder = 299

2288 ÷ 299: Quotient = 7, Remainder = 195

299 ÷ 195: Quotient = 1, Remainder = 104

195 ÷ 104: Quotient  = 1, Remainder = 91

104 ÷ 91: Quotient  = 1, Remainder = 13

91 ÷ 13: Quotient =7, Remainder = 0

Hence, we stop here and the greatest common divisor = 13

4 0
3 years ago
How to factor this equation.<br><br>n^2-64
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3 0
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You run one lap around a mile track every 8 minutes. Your friend runs around the same track every 10 minutes. You both start at
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5 0
4 years ago
Read 2 more answers
Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbar
Tomtit [17]

Answer: (141.1, 156.48)

Step-by-step explanation:

Given sample statistics : n=45

\overline{x}=148.79\text{ lb}

\sigma=31.37\text{ lb}

a) We know that the best point estimate of the population mean is the sample mean.

Therefore, the best point estimate of the mean weight of all women = \mu=148.79\text{ lb}

b) The confidence interval for the population mean is given by :-

\mu\ \pm E, where E is the margin of error.

Formula for Margin of error :-

z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}

Given : Significance level : \alpha=1-0.90=0.1

Critical value : z_{\alpha/2}=z_{0.05}=\pm1.645

Margin of error : E=1.645\times\dfrac{31.37}{\sqrt{45}}\approx 7.69

Now, the 90% confidence interval for the population mean will be :-

148.79\ \pm\ 7.69 =(148.79-7.69\ ,\ 148.79+7.69)=(141.1,\ 156.48)

Hence, the 90​% confidence interval estimate of the mean weight of all women= (141.1, 156.48)

3 0
3 years ago
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