The 9 is in the one hundred thousand's place
Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
![S=180^o(n-2)](https://tex.z-dn.net/?f=S%3D180%5Eo%28n-2%29)
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
![S=180^o(8-2)=1,080^o](https://tex.z-dn.net/?f=S%3D180%5Eo%288-2%29%3D1%2C080%5Eo)
so
The linear equation that represent this problem is
![\frac{x}{2}+7x=1,080](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%2B7x%3D1%2C080)
solve for x
![\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o](https://tex.z-dn.net/?f=%5Cfrac%7B15x%7D%7B2%7D%3D1%2C080%5C%5C%5C%5C15x%3D2%2C160%5C%5C%5C%5Cx%3D144%5Eo)
so
![\frac{x}{2}=72^o](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%3D72%5Eo)
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Answer:
0.9538
Step-by-step explanation:
The computation of the proportion of variation in labor hours is explained by the number of cubic feet moved is shown below:
Here the R^2 coefficient of determination, would be determined and applied the same
R^2 = 1 - SSE ÷ SST
= 1 - 123.97 ÷ 2685.9
= 0.9538
B. Only Sequence B
The one with the reflection over the line HI and then the 6 unit translation to the right
Answer:
Therefore,
![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)
Step-by-step explanation:
Given:
![A=\left[\begin{array}{ccc}3&6&9\\2&4&8\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%266%269%5C%5C2%264%268%5C%5C%5Cend%7Barray%7D%5Cright%5D)
To Find:
a₂₁ = ?
Solution:
Let,
![A=\left[\begin{array}{ccc}a_{11}&a_{12}&a_{13}\\a_{21}&a_{22}&a_{23}\\\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da_%7B11%7D%26a_%7B12%7D%26a_%7B13%7D%5C%5Ca_%7B21%7D%26a_%7B22%7D%26a_%7B23%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
We require ' a₂₁ ' i.e Second Row First Column Element
So on Comparing we get
∴ ![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)
Therefore,
![a_{21}=2](https://tex.z-dn.net/?f=a_%7B21%7D%3D2)