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Ludmilka [50]
2 years ago
9

Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-7, -5), B(-

7, 6),A(−7,−5),B(−7,6),A, left parenthesis, minus, 7, comma, minus, 5, right parenthesis, comma, B, left parenthesis, minus, 7, comma, 6, right parenthesis, comma C(-4, 6)C(−4,6)C, left parenthesis, minus, 4, comma, 6, right parenthesis, and D(-4, -5)D(−4,−5)D, left parenthesis, minus, 4, comma, minus, 5, right parenthesis.
Given these coordinates, what is the length of side CDCDC, D of this rectangle?
Mathematics
1 answer:
sergey [27]2 years ago
8 0

The length of side CD is equal to 11 units.

Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)

We are require to find the length of side CD.

Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.

We know that the distance means how far two points are located.

Coordinates of  A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).

Distance=\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} } where (x_{1} ,y_{2} )(x_{2} ,y_{2} ) are the coordinates of two ends of a line.

CD=\sqrt{(-5-6)^{2} +(-4+4)^{2} }

=\sqrt{11^{2}+0^{2}  }

=\sqrt{121}

=11 units.

Hence the length of side CD is 11 units.

Learn more about distance at brainly.com/question/17273444

#SPJ4

Question is wrong as it should be :

Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.

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Answer:

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

Step-by-step explanation:

For this problem the sample size is large enough (n>30), and then the sampling distribution \hat p would be approximately normal. The mean of the sampling distributions is given by p=0.52

The expected value for the sampling distribution would be 0.52 since E(\hat p) = p

And for the standard deviation we know that is given by:

Sd= \sqrt{\frac{p (1-p)}{n}}=\sqrt{\frac{0.52(1-0.52)}{150}}=0.0408

So the correct answers on this case are:

a. The sampling distribution will be approximately normal.

d. The mean of the sampling distribution will be close to 52%

g. The standard deviation of the sampling distribution will be 0.0408

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\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}

1. Both are corresponding angles, hence they both are equal, so,

44x + 2 = 45x \\  =  > 2 = 45x - 44x \\  =  > 2 = x \\  =  > x = 2

Ans. C) 2

2. They both are in interior corressponding, hence their sum is equal to 180°, so,

10x + 6 + 104 = 180 \\  =  > 10x + 110 = 180 \\  =  > 10x = 180 - 110 \\  =  > 10x = 70 \\  =  > x =  \frac{70}{10}  \\  =  > x = 7

Ans. D) 7

3. They both are in interior corressponding, hence their sum is equal to 180°, so,

x + 75 + x + 125 = 180 \\  =  > 2x + 200 = 180 \\  =  > 2x = 180 - 200 \\  =  > 2 x =  - 20 \\  =  > x =  \frac{ - 20}{2}  \\  =  >  x =  - 10

Ans. A) -10

4. Both are corresponding angles, hence they both are equal, so,

12x + 3 = 11x + 9 \\  =  > 12x - 11x = 9 - 3 \\  =  > x = 6

Ans. A) 6

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FromTheMoon [43]
All of them??? or just one
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