When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>"), the dot if filled in.
When the sign is < or >, the dot is not filled in/open circle.
15 > m
[15 is greater than m, or m is less than 15]
Since m is less than 15, the arrow is going to the left (the numbers to the left are less than 15)
Answer:
B) Angle 5 and angle 4
Step-by-step explanation:
Given
See attachment for sketch
See comment for options
Required
The alternate interior angles
Interior angles are such that they are located between the given parallel lines.
In the attached sketch, the interior angles are: 3, 4, 5 and 6
Alternate angles are at the opposite sides of the transversal
Hence:
<em>4 and 5 are alternate interior</em>
<em>3 and 5 are also alternate interior</em>
Answer:
-10
Step-by-step explanation:
You are asked to tell the y-value of the solution. You can find the whole solution and then report the y-value, or you can just find the y part of the solution. We choose the latter.
This is basically done by eliminating the x-variable. It can be done using the "elimination" method of solving these equations. And it can also be done using the "substitution" method of solving these equations. We choose the latter.
Add 14 to the second equation to solve for x:
... x = y + 14
Substitute this into the first equation.
... 3(y +14) -y = 22
... 2y +42 = 22 . . . . . . simplify
... y +21 = 11 . . . . . . . . divide by 2
... y = -10 . . . . . . . . . . subtract 21
_____
<em>Comment on additional solution methods</em>
A graphing calculator can show you the solution, as in the attachment. Of the solution (x, y) = (4, -10), we are only interested in y = -10.
Cramer's rule can find just one variable value, too. For that, it is convenient to write the system as ...
Then the solution for y is ...
... y = (22·1 -14·3)/(-1·1 -(-1)·3) = -20/2 = -10
