Answer: A: V is an acute angle, so it is less than 90 degrees. I would say it's around 45 degrees.
B: K is also an acute angle, but it is fairly close to being 90 degrees, so I'd say around 80 degrees.
C: Q is an obtuse angle, so it is over 90 degrees but less than 180 degrees. I would say it's around 110 degrees.
D: Y is an obtuse angle. It is very close to 180 degrees. I would say it's around 160 degrees.
Step-by-step explanation:
Answer:
x+y=5a
5a is added to b which is the sum of x and y multiplied by 3. That is, b=x+y×3=5a×3=15a
Since, 5a is added to b= 5a+15a=20a,
Answer:
Data Point B and Data point E
Step-by-step explanation:
Data point B and data point E are the farthest and are more distant away from the best line of fit compared to other data points. The more clustered data points are, the more the correlation that exists between the variables in question.
Therefore, data point B and data point E, will cause the correlation coefficient to decrease the most.
Then the car will travel 51 miles on 1 gallon of diesel
Answer:
2.55
Step-by-step explanation:
Draw a picture of the triangle formed by points P, A, and B. The angle of the line from P to A is 225°. The angle of the line from P to B is 116°. The angle of the line from B to A is 258°, and the length of the line is 3.91.
The easiest way to solve this is by first finding the angle of the line from B to P. Using interior angles, we can show that this is 180° − 116° = 64°.
Next, we can show that:
∠APB = 225° − 116° = 109°
∠ABP = 360° − (258° + 64°) = 38°
Finally, we can use law of sines to find AP.
AP / sin 38° = 3.91 / sin 109°
AP = 2.55
