Answer: ![45^{\circ}](https://tex.z-dn.net/?f=45%5E%7B%5Ccirc%7D)
Step-by-step explanation:
is formed by
and
, so we can begin by finding their slopes.
![m_{\overline{AB}}=\frac{2-5}{4-7}=-1\\m_{\overline{BC}}=\frac{2-2}{9-4}=0](https://tex.z-dn.net/?f=m_%7B%5Coverline%7BAB%7D%7D%3D%5Cfrac%7B2-5%7D%7B4-7%7D%3D-1%5C%5Cm_%7B%5Coverline%7BBC%7D%7D%3D%5Cfrac%7B2-2%7D%7B9-4%7D%3D0)
This means that:
![\tan \left(\angle ABC \right)=\left| \frac{-1-0}{1-(0)(-1)} \right|\\\tan \left(\angle ABC \right)=1](https://tex.z-dn.net/?f=%5Ctan%20%5Cleft%28%5Cangle%20ABC%20%5Cright%29%3D%5Cleft%7C%20%5Cfrac%7B-1-0%7D%7B1-%280%29%28-1%29%7D%20%5Cright%7C%5C%5C%5Ctan%20%5Cleft%28%5Cangle%20ABC%20%5Cright%29%3D1)
As
is acute, this means ![m\angle ABC=\boxed{45^{\circ}}](https://tex.z-dn.net/?f=m%5Cangle%20ABC%3D%5Cboxed%7B45%5E%7B%5Ccirc%7D%7D)
The number of choice out of 7 that consumer have are 42.
<h3>What is permutation?</h3>
The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.
<h3>According to given data:</h3>
Number of choices of side dishes does a customer have,
total dishes(n)=7 , r = 2
ⁿP₂
⁷P₂
7×6 = 42
Thus required number of ways are 42.
To know more about permutation visit:
brainly.com/question/13715183
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L(-8,3),K(4,1) and M(-1,-4)
Hopes this helps.
Answer:
54
Step-by-step explanation:
it adds up by 8 then 6 then 8 then 6
Answer: There is a linear relationship between the average price of PCs and the number of years that have passed since 2000.
Step-by-step explanation:
From the given graph, we can see there is a straight line , which shows that there is a linear relationship between both quantities.
As the number years increases the average price of PCs decreases.
The given equation of the line is
, which shows that the slope of the line is -39, i.e the rate of decrease in the average price of PCs with respect to the the number of years that have passed since 2000.