Adjacent angles are angles with a common side and vertex, linear pairs are adjacent angles that are supplementary, and vertical angles are angles made by the same two lines but on opposite sides.
For the first one, 5 and 6 clearly do not share a side but they are made up by the same 2 lines and are opposite of each other, making them vertical.
For the next one, since the angles only share 1 line (and not a side) they can't be any of the above.
Type into your calculator (if you haven't already): log 54.
My result: was similar to yours.
Note, however, that we're supposed to round off these results to the nearest thousandths (not thousand).
Your 1.73239 would need to be rounded off to 1.732, with 2 being the nearest thousandths.
Answer:
Step-by-step explanation:
a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit
b. 50n > 135 + 4.50n
Answer: Option D.
Step-by-step explanation:
To solve this exercise you must keep on mind the Angle at the Center Theorem.
According to the Angle at the Center Theorem, an inscribed angle is half of the central angle.
Therefore, given in the inscribed angle m∠BAC=35°, you can calculate the central angle m∠EFD as following:

- Solve for EFD.

- When you substitute values. you obtain:

Answer:
0
Step-by-step explanation:
10(x-2)=-20
10x-20=-20
10x=0
x=0