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3 years ago

Here are two right angles.one pair of corresponding sides is marked congruent.

Mathematics

1 answer:

astra-53 [7]3 years ago

3 0

Answer:

ASA congruence theorem

Step-by-step explanation:

WE know by given that ∠S ≅∠U and line ST ≅ line UT

By the vertical angles theorem, we can find that ∠RTS ≅ ∠VTU.

They are in a form that when looking around the edge, you see congruent angle, side, then angle. That means that we can prove the triangles' congruence with ASA congruence.

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What is the mean and mad of this data set?

larisa86 [58]

Answer:

The mean number of gerbils seen per day is 6.

The mean absolute deviation of the data is 2.29.

Step-by-step explanation:

The mean of a data set is the value that represents the entire data set. It is the average value.

The formula to compute the mean of a data set is:

$\bar x=\frac{1}{n}\sum X$

The mean absolute deviation (MAD) of a data set is the average distance amid each value and the mean. The MAD provides us with an idea about the deviation in the data set.

The formula to calculate the value of MAD is:

$MAD=\frac{1}{n}\sum |x-\bar x|$

The data set for the number of gerbils seen per day is:

S = {2, 3, 5, 7, 8, 8, 9}

Compute the mean of the data as follows:

$\bar x=\frac{1}{n}\sum X$

$=\frac{1}{7}\times [2+3+5+7+8+8+9]\\\\=\frac{1}{7}\times 42\\\\=6$

The mean number of gerbils seen per day is 6.

Compute the mean absolute deviation of the data as follows:

$MAD=\frac{1}{n}\sum |x-\bar x|$

$=\frac{1}{7}\times [|2-6|+|3-6|+|5-6|+|7-6|+|8-6|+|8-6|+|9-6|]\\\\=\frac{1}{7}\times 16\\\\=2.2857\\\\\approx 2.29$

Thus, the mean absolute deviation of the data is 2.29.

5 0

4 years ago

What are the factors of 4

Nimfa-mama [501]

Factors are the numbers another number can be divided from. example-
8÷4=2, 4 is a factor of 8.

so the factors of 4 are 1,2and 4itself. like this-
4×1=4
1×4=4
2×2=4
answer- 1,2 and 4.

7 0

3 years ago

Can someone help me do this ?how do i solve for Y

marin [14]

7x+5y=20
move y by itself

7x+5y=20
minus 7x from both sides
7x-7x+5y=20-7x
0+5y=20-7x
5y=20-7x
divide both sides by 5
5y/5=(20-7x)/5
y=(20-7x)/5
y=(20/5)+(-7x/5)
$y=4- \frac{7x}{5}$

7 0

3 years ago

Sylvia is sorting her laundry. She put 54 pieces of clothing into 6 piles. Each pile had the same amount of clothing. If she has

natta225 [31]

Answer:

Step-by-step explanation:

54/6=9

9*4=36

7 0

3 years ago

There is a bag filled with 3 blue, 4 red and 5 green marbles.

ZanzabumX [31]

Answer:

Step-by-step explanation:

8 0

3 years ago