You can use the vertical angles theorem to find the value of x.
2x+84=5x
84=3x
x=28
Now, since <TSV and >PSV are linear pairs, you can add PSV and TSV. To do this, you have to find the value of PSV.
PSV=5x
x=28, so PSV = 5(28)
PSV=140°.
Now, find TSV.
180°-140°=40°
m<TSV=40°, or B.
Answer:
Graph.
y=4x+2(1,y)642X−6−4−2IN^46−2−4−6y−value(1,y)Y
Step-by-step explanation:
Answer:
120.51·cos(377t+4.80°)
Step-by-step explanation:
We can use the identity ...
sin(x) = cos(x -90°)
to transform the second waveform to ...
i₂(t) = 150cos(377t +50°)
Then ...
i(t) = i₁(t) -i₂(t) = 250cos(377t+30°) -150cos(377t+50°)
A suitable calculator finds the difference easily (see attached). It is approximately ...
i(t) = 120.51cos(377t+4.80°)
_____
The graph in the second attachment shows i(t) as calculated directly from the given sine/cosine functions (green) and using the result shown above (purple dotted). The two waveforms are identical.