Vertex angle = x
1 base angle = 1/2x - 8
180-x = (1/2x-8)x2
180-x = x-16
196-x = x
196 = 2x
x=98
If you want explanation please ask me .
Answer:

Step-by-step explanation:

First, we expand the equation using the distributive rule:

Hence, 
Simplify: 
Add like terms:

Subtract 13 from both sides: 
Divide both sides by -8:

So whole ml's
30 mls
find what 30 is evenly divisble by
factor 30
30=2 times 3 times 5
therefor
30 is divisble by 2,3,5,6,10,15
so he can divide the glass into 2 sevings which is 30/2=15 ml in each
servings ml fraction
2 15 15/30=1/2
3 10 10/30=1/3
5 6 6/30=1/5
6 5 5/30=1/6
10 3 3/30=1/10
15 2 2/30=1/15
I leaerned this neat trick
you don't need to convert to vertex form
where
y=ax^2+bx+c
the x value of the vertex is -b/2a
the y value is found by inserting the x value of the vertex into the equation
so
1x^2-6x+14
-b/2a=-(-6)/2(1)=6/2=3
plug that in
y=x^2-6x+14
y=3^2-6(3)+14
y=9-18+14
y=5
the vertex is (3,5)
The correct question is
<span>Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. he finds the mean is 14. his steps for finding the standard deviation are below. what is the first error he made in computing the standard deviation
</span>
see the picture in the attached figure N 1we know that
The formula for Sample Standard Deviation is indicated in the attached figure N2
in this problem
n=4 and Yuri had to divide in the formula by 3
therefore
the answer is Yuri divided by n instead of n -1