Step-by-step explanation:
1. a² - ( b ² - 2bc + c² ) = a ² - b ² + 2bc - c²
2. 8p² - 18 q²
3. 3ab² - c²d + 3ab - b²c²
4. x² - 2x + 1
<span>12+3(8+x)
= 12 + 24 + 3x
= 3x + 36</span>
Hi there!
The congruency theorem that proves these two triangles congruent is AAS. This is because both triangles have two congruent angles and the side comes from the side that can be proved congruent in both triangles by the reflexive property.
Hope this helps!! :)If there's anything else that I can help you with, please let me know!
Given:
The slope of a line is
.
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e.,
. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is
. It means the slope of the perpendicular line must be
. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.