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3 years ago

Postulate or theorem can be used to prove th ABC= AEDC. D A. SSS O B. ASA C. AAS D. SAS

Mathematics

1 answer:

telo118 [61]3 years ago

4 0

Answer:

sas

Step-by-step explanation:

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The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

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2 years ago

-14x>-3 solve for x

wariber [46]

x=3/14

3 over 14

hope this helps

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3 years ago

What is the median for 6.0 6.0 7.0 7.0 8.0 9.0

Vladimir79 [104]

The word median means middle.

The median is 7.0 because it’s in the middle of the following numbers.

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2 years ago

What is the interquartile range for the data set??

kramer

Answer:

Step-by-step explanation:

First, order the numbers in order. Then find the "middle numbers" and omit them after you have divided the number set into two equals parts. Then find the median of those number sets and then subtract.

You should get 71-6 at the end which is 65.

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3 years ago

Which statements are true about the locations of points A and B? Select all that apply. Point A is at (0, -2). 4 Point A is at (

Igoryamba

Point a is at (0,-4) and point b is at (-8,-7) :)

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2 years ago

Read 2 more answers

Postulate or theorem can be used to prove th ABC= AEDC. D A. SSS O B. ASA C. AAS D. SAS​

Postulate or theorem can be used to prove th ABC= AEDC. D A. SSS O B. ASA C. AAS D. SAS