Answer:
Scenario 1 represents a greater speed
Step-by-step explanation:
scenario 1 - find equation of line on graph to compare
- use the points given to find the slope
rate = slope = (y2-y1)/(x2-x1) = (240-60)/(4-1) = 60
y intercept = 0
line equation -> y = 60x
for every mile, 60 miles are traveled
scenario 2 - interpret the equation
for every mile, 50 miles are traveled
Scenario 1 represents a greater speed
Answer:
(2,0)
Step-by-step explanation:
we know that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
we have
Substitute the value of x and the value of y of each point in the inequality and then compare the results
case a) (0, 2)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
case b) (2,0)
----> is true
so
the point satisfy the inequality
therefore
The point is a solution of the inequality
case c) (1, -2)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
case d) (-2, 1)
----> is not true
so
the point not satisfy the inequality
therefore
The point is not a solution of the inequality
see the attached figure to better understand the problem
Solve the formula for h, so you need to isolate/get h by itself in the equation:
A = 1/2bh Multiply the inverse of 1/2, which is 2/1 or 2 on both sides to get rid of the 1/2
2A = bh Now divide by b on both sides
Your answer is C
Angle 3 = 60°
Angle 4 = 60°
Step-by-step explanation:
To find angle 3 we have to use the straight angle that is formed with angle C. Angle C is the same value as angle 2 (120°) so all we have to do now is make an equation by subtracting angle C (120°) from 180°. 180°-120°=60°. So 60° is the value of angle 3.
Angle 4 is also 60° because it is the same angle as angle 3. So the value of angle 4 is 60°.
Another way to solve this problem (shown in the picture) is using the value of angle 1 (60°) and when you have the value 60° and there are triangles formed within the angle (highlighted in the picture) you know that all the angles within the triangle are going to be 60° because all angles within a triangle add up to 180°. So if we were to use this rule the equation would look like 60°+60°+60°=180°. Angle 3 in the green triangle would be equal to 60° because of the fact that one angle was already confirmed as being 60° so because of that all the angles in the triangle have to add up to 180° so the all the angles must be 60°. Angle 4 in the red triangle would also be equal to 60° for the same reason mentioned above.
So therefore the answer to this question is Angle 3 = 60° and Angle 4 = 60°
Hope this helps! If you have any more questions or you need further clarification please comment down below or message me! Good luck!