First you need to find the sum of all the interior angles using the formula (n-2)*180, where n is the number of sides.
There are 6 sides to this figure so the interior angles need to equal (6-2)*180 = 4*180 = 720.
Now add all the given angles together: 2x + 3x + 3x + 3x +3x +2x = 16x
Now we know 16X = 720
Find X by dividing both sides by 16:
X = 720 / 16
X = 45
Now we know X, so to find E, replace X with 45 and multiply by 3:
3X = 3(45) = 135.
E = 135. The answer is D.
Answer:
Step 4 contains his mistake . Because while changing the signs , one has to also reverse the inequality sign
Answer:
see explaination
Step-by-step explanation:
Using the formulla that
sum of terms number of terms sample mean -
Gives the sample mean as \mu=17.954
Now varaince is given by
s^2=\frac{1}{50-1}\sum_{i=1}^{49}(x_i-19.954)^2=9.97
and the standard deviation is s=\sqrt{9.97}=3.16
b) The standard error is given by
\frac{s}{\sqrt{n-1}}=\frac{3.16}{\sqrt{49}}=0.45
c) For the given data we have the least number in the sample is 12.0 and the greatest number in the sample is 24.1
Q_1=15.83, \mathrm{Median}=17.55 and Q_3=19.88
d) Since the interquartile range is Q_3-Q_1=19.88-15.83=4.05
Now the outlier is a number which is greater than 19.88+1.5(4.05)=25.96
or a number which is less than 15.83-1.5(4.05)=9.76
As there is no such number so the given sample has no outliers
Answer:
IDK if you still need this but it's A
Step-by-step explanation:
I just took the quiz and got it right :)
Answer: Same side angles
Step-by-step explanation:
They both share side AK.