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.
Arc Length = radius * Angle in radians
Arc Length = 27.4 *
<span>
<span>
<span>
5.4977871438
</span>
</span>
</span>
Arc Length =
<span>
<span>
<span>
150.6393677396
</span>
</span>
</span>
inches
Source:
http://www.1728.org/radians.htm
Tan (45)=x/100
Put tan(45) over 1 and cross multiply to get an equation
Tan (45)•100=1x
Solve for x
Tan (45)•100=161.977