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zhenek [66]
3 years ago
8

If two polygons are similar with the lengths of their corresponding sides in the ratio of , then the ratio of their areas is ___

__.
Mathematics
1 answer:
romanna [79]3 years ago
3 0
The ratio of their areas is the square of whatever number was supposed to appear afrer the phrase "... in the ratio of ".
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Snezhnost [94]
Any value of x makes this equation true or all real numbers


-2(3x+12) is the same this as -6x-24 when distributed 
so it's -6x-24=-24-6x
her -6x just disappeared so she is wrong :)
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3 years ago
Use the zero product property to find the solutions to the equation x2 – 9 = 16.
zvonat [6]

Answer: x=5 or x=−5

Step-by-step explanation:

4 0
3 years ago
Express 24 out of 80 as a percent
olga2289 [7]

Answer:

30%

Step-by-step explanation:

24/80 = 0.3

move the decimal over 2 times and you'll get your answer

6 0
3 years ago
Suppose that you were not given the sample mean and sample standard deviation and instead you were given a list of data for the
Troyanec [42]

Answer:

So, the sample mean is 31.3.

So, the sample standard deviation is 6.98.

Step-by-step explanation:

We have a list of data for the speeds (in miles per hour) of the 20 vehicles. So, N=20.

We calculate the sample mean :

\mu=\frac{19 +19 +22 +24 +25 +27 +28+ 37 +35 +30+ 37+ 36+ 39+ 40+ 43+ 30+ 31+ 36+ 33+ 35}{20}\\\\\mu=\frac{626}{20}\\\\\mu=31.3

So, the sample mean is 31.3.

We use the formula for a sample standard deviation:

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}

Now, we calculate the sum

\sum_{i=1}^{20}(x_i-31.3)^2=(19-31.3)^2+(19-31.3)^2+(22-31.3)^2+(24-31.3)^2+(25-31.3)^2+(27-31.3)^2+(28-31.3)^2+(37-31.3)^2+(35-31.3)^2+(30-31.3)^2+(37-31.3)^2+(36-31.3)^2+(39-31.3)^2+(40-31.3)^2+(43-31.3)^2+(30-31.3)^2+(31-31.3)^2+(36-31.3)^2+(33-31.3)^2+(35-31.3)^2\\\\\sum_{i=1}^{20}(x_i-31.3})^2=926.2\\

Therefore, we get

\sigma=\sqrt{\frac{1}{N-1}\sum_{i=1}^{N}(x_i-\mu)^2}\\\\\sigma=\sqrt{\frac{1}{19}\cdot926.2}\\\\\sigma=6.98

So, the sample standard deviation is 6.98.

3 0
3 years ago
Factor of <br> −21x^2+2x+8
Vanyuwa [196]

Answer:

-(7x + 4)(3x - 2)

Step-by-step explanation:

Hope this helps! have a nice day! Please consider making me Brainliest

5 0
3 years ago
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