Answer:
(a) Theorem 9
Step-by-step explanation:
Any of the given theorems can be used to prove lines are parallel. We need to find the one that is applicable to the given geometry.
<h3>Analysis</h3>
The marked angles are between the parallel lines (interior) and on opposite sides of the transversal (alternate).
Theorem 9 applies to congruent alternate interior angles.
The critical points of the function graphed are given as follows:
<h3>What are the critical points of a function?</h3>
The critical points of a function are the values of x for which:

In a graph, they are turning points, and are classified as follows:
- Local maximum, if the functions changes from increasing to decreasing.
- Local minimum, if the functions changes from decreasing to increasing.
Looking at the graph, the turning points are approximately:
More can be learned about critical points at brainly.com/question/2256078
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Answer:
<u>CIRCLE : CIRCLE</u>
Ratio of area is the scale factor squared. So find the radii of the two circles, square both values, and simplify the ratio.
<u>SQUARE : SQUARE</u>
Ratio of area is the scale factor squared, So find the side lengths of the two squares, square both values, and simplify the ratio.
<u>SQUARE : CIRCLE</u>
Using the formulas A = s*s and A = pi*r^2, find the areas of the circle and the square. Then simplify the ratio.
Answer:

Step-by-step explanation:
Given


Required
Determine LN
Since LM is a bisector, then we have:
(See attachment for illustration)

Collect Like Terms


Solve for w


LN is calculated as thus:

Substitute 4 for w


