Answer:
are corresponding angles and are congruent to each other.
are alternate exterior angles and thus congruent to each other.
are interior angles on the same side, and they are supplementary(sum=180°).
Step-by-step explanation:
Given:
Line 
Line 
is traversal.
By angle properties we can name the angle relationship of given angle pairs.
are corresponding angles and are congruent to each other.
are alternate exterior angles and thus congruent to each other.
are interior angles on the same side, and thus they are supplementary.
Answer:
The answer is the option D
m∠BED=
Step-by-step explanation:
we know that
If lines L and M are parallel
then
m∠CBE=m∠BED ------> by alternate interior angles
so
we have
m∠CBE=
therefore
m∠BED=
Answer:
x=5
Step-by-step explanation:
First, let's understand logarithms.
When there is no base given, like in this problem's right side of the equation, the base is automatically 10.
So, let's re-write that.
Now, let's test a few of the numbers out. For brevity, I already know it's 3. Let's show you why.
Answer:
5x² + 2x - 3 - px - p
= 5x² + 5x - 3x - 3 - p(x + 1)
= 5x(x + 1) - 3(x + 1) - p(x + 1)
= (x + 1)(5x - 3 - p)
