The exterior angle is ∠3 and ∠BAC is 78°
Step-by-step explanation:
An exterior angle is one formed by one side of a triangle and extension of an adjacent side of the triangle.The sum of two non-adjacent interior angles will equal the measure of the exterior angle of the triangle.
In finding the value of ∠BAC first find ∠BCA (180°-113°=67°) ⇒sum of angles formed in a straight line add up to 180°
∠BAC= 180°-(∠ABC +∠BCA)⇒sum of angles in a triangle
∠BAC=180°-(35°+67°)
∠BAC=180°-102°=78°
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Angles : brainly.com/question/11850487
Keyword : Angles
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Answer:
Step-by-step explanation:
Hello!
Given the independent variable X and the dependent variable Y (see data in attachment)
The regression equation is
^Y= b₀ + bX
Where
b₀= estimation of the y-intercept
b= estimation of the slope
The formulas to manually calculate both estimations are:


n=7
∑X= 42
∑X²= 292
∑Y= 49
∑Y²= 403
∑XY= 249




^Y= 13.75 - 1.13X
Using the raw data you can calculate the coefficient of determination as:
![R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{[sumY^2-\frac{(sumY)^2}{n} ]}](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7Bb%5E2%5BsumX%5E2-%5Cfrac%7B%28sumX%29%5E2%7D%7Bn%7D%20%5D%7D%7B%5BsumY%5E2-%5Cfrac%7B%28sumY%29%5E2%7D%7Bn%7D%20%5D%7D)
![R^2= \frac{(-1.13)^2[292-\frac{(42)^2}{7} ]}{[403-\frac{(49)^2}{7} ]}= 0.84](https://tex.z-dn.net/?f=R%5E2%3D%20%5Cfrac%7B%28-1.13%29%5E2%5B292-%5Cfrac%7B%2842%29%5E2%7D%7B7%7D%20%5D%7D%7B%5B403-%5Cfrac%7B%2849%29%5E2%7D%7B7%7D%20%5D%7D%3D%200.84)
This means that 84% of the variability of the dependent variable Y is explained by the response variable X under the model ^Y= 13.75 - 1.13X
I hope this helps!
Answer:
Answer is 160.00
Step-by-step explanation:
*proportion*
3hours/12cars
8hours/ (x) cars
X=32
And the conversion for the inch to the centimeter is 1 inch = 2.54 cm exactly. So, in the same vCalc conversion equation (Length Conversion), if you input 1 inch, you get out 2.54 cm. So, he rephrased answer to your question is: there are 30.48 centimeters on a standard 12 inch ruler.