Answer:
The third angle measures 66°
Step-by-step explanation:
If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.
57+57=114
180-114=66
We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.
57+57+66=180
We were correct! Now we have the measurements of all three of the triangle's angles. Great job!
I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!
Answer:
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
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 the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
In this quesstion:
So
The margin of error for a confidence interval for the population mean with a 90% confidence level is 0.53 hours.
Since these are similar triangles you can use any two corresponding sides to figure out the scale factor.
Use the bottom side. Going from the first triangle to the second the scale factor is:
15/9 = 5/3
6/8 = 3/4 = 0.75
3/4 x 4 = 3
3/6 = 1/2
so, the value is 0.5, or 1/2.
Answer:
[3,4,5]
Step-by-step explanation:
the answer is [3,4,5,]
because domain means it is the value of x.
