Answer: 1/2, 1/2, 1/4
Step-by-step explanation:
To find the fraction that the hour hand turns of a clockwise revolution, we have to find how long it is going then divide by 12
Ex. a) 11 - 5 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
b) 8 - 2 = 6, 6/12 = 1/2 so the hour hand turns by 1/2 of a clockwise revolution
c) For this, we have to convert 1 into 13 as 1 - 10 is a negative number
13 - 10 = 3, 3/12 = 1/4 so the hour hand turns by 1/4 of a clockwise revolution
Answer:
y = x - 4
Step-by-Step Explanation:
Perpendicular lines have slopes that are negative reciprocals—multiplying their slopes result in -1.
Given the slope of a line m = -1, then it means that the slope of the other line must be 1 (because multiplying the slope of line 1 (m1 = -1), and the slope of the other line (m2 = 1) results in: -1 × 1 = -1).
Therefore, given the slope of line 2 (m2 = 1), and the point (2, -2), we could plug these values into the slope-intercept form and solve for the y-intercept (b):
y = mx + b
-2 = 1(2) + b
-2 = 2 + b
Subtract 2 from both sides to solve for b:
-2 - 2 = 2 - 2 + b
-4 = b
Therefore, the y-intercept (b) = -4.
Hence, the equation of the perpendicular line is: y = x - 4
Please mark my answers as the Brainliest if you find my explanation helpful :)
Answer:
108 degrees
Step-by-step explanation:
By the Exterior Angle Theorem:
(2x + 1) + 63 = 5x -2
2x + 64 = 5x - 2
66 = 3x
22 = x
Now, we can plug the value of x back into the expression that represents the exterior angle to find the measure of the exterior angle:
5(22) - 2
110 - 2
108
The answer is 108 degrees.<em> </em>(I'm sorry your question was answered so late; I hope you got the right answer when you solved it!)
His sister will be 20, right!
Answer:
3 days
Step-by-step explanation:
Let x - be the number of days
Jack: 55 + 4x
Emily: 28 + 13x
To know when they would have the same amount of money, you make the two equations equal to each other.
Hence:
55 + 4x = 28 + 13x
Rearrange:
55 - 28 = 13x - 4x
Simplify
27 = 9x
Divide each side by 9 to make x on its own (this way we would be able to know the number of days when they get the same amount of money)
x = 3 (3 days)