Answer: Choice C) 115 degrees
Focus on the parallel lines G and L, which are the top and bottom most horizontal lines. Notice that the transversal cut forms the alternate exterior angles 2 and 11. The angles are on the outside or exterior of the "train tracks" of the parallel lines. Also, they are on opposite sides of the transversal line. So that is how we can consider them to be alternate exterior angles.
Similar to alternate interior angles, alternate exterior angles are congruent if we have a transversal cutting a pair of parallel lines.
So in short, angle 2 and angle 11 are congruent. We are given angle 2 to be 115 degrees. Angle 11 is also 115 degrees.
If you would like to know which value is equivalent to <span>|f(i)|, you can calculate this using the following steps:
f(x) = 1 - x
</span>|f(i)| = |1 - i| = sqrt((1-i) * (1-i)^conjugate) = sqrt(2) = <span>√2
The correct result would be </span><span>c. √2.</span>
So to start off on answering we are going to s<span>ubtract 3/5 from both of the sides:
</span><span><span><span><span><span>−1/</span>2</span>u</span>+<span>3/5</span></span>−3/5</span>=<span><span>1/6</span>−<span>3/<span>5
</span></span></span><span><span><span>−1/</span>2</span>u</span>=<span><span>−13/</span><span>30
Okay, so now we are going to mu</span></span><span>ltiply both sides by 2/(-1):
</span><span><span>(<span>2/<span>−1</span></span>)</span>*<span>(<span><span><span>−1/</span>2</span>u</span>)</span></span>=<span><span>(<span>2/<span>−1</span></span>)</span>*<span>(<span><span>−13/</span>30</span><span>)
</span></span></span>The final answer shall be:
u=<span>13/<span>15
I hope this helps! </span></span>
