Polygon FGHIJ is the result of the rotation of ABCDE.
A = F ⇒ 117°
B = G ⇒ 90°
C = H ⇒ 127°
D = I ⇒ 90°
E = J ⇒ 117°
The measure of angle BCD remains the same because the rotation involves the whole polygon. Thus, it is still 127°
Answer:
Real number 5
Imaginary number 5i
Complex number 2+5i
Step-by-step explanation:
A real number is that number that can be represented on number line
There is no imaginary part in real number
Example of real number is 5
Imaginary number is that in which there is no real part
Example of imaginary number is 5i
When there is a combination of both real and imaginary part then number is called complex number
Example of complex number is 2+5i
Answer:
The GFC is 2
Step-by-step explanation:
Answer:
About 20.8 minutes
Step-by-step explanation:
TO solve this just think of it as a ratio. The number of potatoes goes on top and the time goes on bottom.
48
__
10
That is what the first one would look like. In the second one we know the number of potatoes but we are trying to find the time (x).
100
___
x
Take these two ratios and set them equal to each other.
Next you cross multiply (take 48 times x and 100 times 10).
48x=1000 Now divide by 48 and you have your answer.
About 20.8 minutes
Answer:
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 77 - 7.03 = 69.97g.
The upper end of the interval is the sample mean added to M. So it is 77 + 7.03 = 84.03g.
The 95% confidence interval for the population mean daily protein intake is between 69.97g and 84.03g.