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NemiM [27]
3 years ago
13

If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D, what is the perimeter of A'B'C'D?

Mathematics
1 answer:
kramer3 years ago
5 0
The ans is C) 90 units
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What are the mean, median, mode, and range of the data set given the altitude of lakes in feet: -11, -28, -17, -25, -28, -39, -6
GrogVix [38]

Answer:

Mean=-21.5

Median=-26.5

Mode=-28

Range= -6 to-46

Step-by-step explanation:

Arranging the numbers given either in ascending or descending order. In this case, I used descending order as follows

-6

-11

-17

-25

-28

-28

-39

-46

Mode is the number that occurs more than others. In this case, only -28 appears twice hence it is the mode

The mean is given by adding all the numbers and dividing by the frequency.

The sum of numbers will be -6+-11+-17+-25+-28+-28+-39+-46=-172

Mean=-172/8=-21.5

The median is the number that appears in the middle after arranging the numbers in descending order as above. In this case, two numbers appear in the middle, that is -25 and -28 hence median -25+-28/2=-26.5

The range of numbers id from -6 to-46 as arranged above

8 0
3 years ago
16/sin(44)=b/sin(54)
Nina [5.8K]

Answer:

Here you go

b=18.63401127

Hope this helps



3 0
3 years ago
Question:
prohojiy [21]

Answer:

x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x over the real numbers:

x/x - 1 = x - 3 - 2/x

x/x - 1 = 0:

0 = x - 3 - 2/x

0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:

x - 3 - 2/x = 0

Bring x - 3 - 2/x together using the common denominator x:

(x^2 - 3 x - 2)/x = 0

Multiply both sides by x:

x^2 - 3 x - 2 = 0

Add 2 to both sides:

x^2 - 3 x = 2

Add 9/4 to both sides:

x^2 - 3 x + 9/4 = 17/4

Write the left hand side as a square:

(x - 3/2)^2 = 17/4

Take the square root of both sides:

x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

3 0
3 years ago
Manny has a garden that is 12 feet long and 9 feet wide. What is the perimeter of
Julli [10]

Answer:

42 ft

Step-by-step explanation:

2(L + W ) = P

2 (12 + 9) = P

2 (21) = P

42 = P

P = 42

4 0
2 years ago
Which triangle is similar to ABC
tankabanditka [31]
The triagle which is similar to ABC id DEF. The first option is correct since thwy have the same measurement of its sides
4 0
3 years ago
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