Answer:
Step-by-step explanation:
Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.
m∠2 = 50°
m∠1 + m∠2 = 180° [Linear pair of angles]
m∠1 = 180° - 50°
m∠1 = 130°
m∠3 = m∠1 = 130° [Vertically opposite angles]
m∠3 + m∠5 = 180° [Consecutive interior angles]
m∠5 = 180° - m∠3
= 180° - 130°
= 50°
m∠6 + m∠5 = 180° [Linear pair of angles]
m∠6 = 180° - 50° = 130°
ANSWER
<em>alternate interior angles theorem</em>
EXPLANATION
According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.
From the above diagram line r is parallel to line s, therefore

and

because they are alternate interior angles.
See attachment for how to spot alternate interior angles.
Answer:
The function is
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is
.
So, the base is
=
. (Answer)
The general formula of an exponential function is
, where b is called the base of the function.