Answer:

Step-by-step explanation:
Given


Required
After how many minutes, will they round together
First, convert the given time to minutes









So, we have:


List out the multiples of the time of both security personnel take round.


In the above lists, the common time is:

<em>This implies that they go on round after </em>
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Answer:
B) supplementary angles
C) straight angle
Step-by-step explanation:
There is a straight line, and when an angle is a straight it means its 180 degrees which makes it a supplementary angle and a straight angle.
There are no angles that are 90 degrees so its not complementary or a right angle.
Equation is y = 4x + 5
Step-by-step explanation:
- Step 1: Find the slope of the line by m = (y2 - y1)/(x2 - x1). Here y2 = 5, y1 = 9, x1 = 1 and x2 = 0
⇒ m = (5 - 9)/(0 - 1) = 4
- Step 2: Find y-intercept, b. Since the line passes through (0, 5) b = 5
- Step 3: Write the equation in slope-intercept form
⇒ y = 4x + 5
The possibilities of an even number are 2, 4, 6, 8, 10, 12, 14, and 16 .
The possibilities of an odd prime are 3, 5, 7, 11, and 13.
8 even numbers + 5 odd primes = 13 possibilities of success
out of 16 total possible outcomes.
Probability of success = 13/16 = 0.8125 = 81.25% .
Rounded to the nearest thousandth, it's 0.813 .
Answer:
(-2, -3)
Step-by-step explanation:
We assume your system of equations is ...
You can subtract the second equation from the first to get
... (2x -y) -(2x -4y) = (-1) -(8)
... 3y = -9 . . . . . collect terms
... y = -3 . . . . . . divide by 3 . . . . this is sufficient to identify the correct answer
Substituting into the first equation, we have ...
... 2x -(-3) = -1
... 2x = -4 . . . . . add -3
... x = -2 . . . . . . .divide by 2
Now, we're sure the answer is (x, y) = (-2, -3).