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.
Ricardo is not correct because the temperature is actually getting colder (idk if I need to explain it more). The difference is -12 F
Answer:
-17 z - 6 y - 7 x + -18
Step-by-step explanation:
Simplify the following:
x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20
Hint: | Group like terms in x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20.
Grouping like terms, x + 6 y - 7 z + 2 - 8 x - 12 y - 10 z - 20 = (-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20):
(-7 z - 10 z) + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in -7 z - 10 z.
-7 z - 10 z = -17 z:
-17 z + (6 y - 12 y) + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in 6 y - 12 y.
6 y - 12 y = -6 y:
-17 z + -6 y + (x - 8 x) + (2 - 20)
Hint: | Combine like terms in x - 8 x.
x - 8 x = -7 x:
-17 z - 6 y + -7 x + (2 - 20)
Hint: | Evaluate 2 - 20.
2 - 20 = -18:
Answer: -17 z - 6 y - 7 x + -18