Remember that

So if
and
, then we know
.
Then use the Pythagorean identity to solve for cosine:

Answer:
17.B
19. C
20.C
Step-by-step explanation:
17.

19.

20.

Answer:
decreased 11.7647 percent
Answer:
315 beads
Step-by-step explanation:
The question above is calculated as:
25 necklaces = 375 beads
21 necklaces = x beads
Cross Multiply
25x = 21 × 375
x = 21 × 375/25
x = 7875 / 25
x = 315 beads
Hence, Jared used 315 beads to make 21 necklaces yesterday
Step-by-step explanation:
If two lines have the same slope and the same y-intercept, there are infinite solutions.
If two lines have the same slope and different y-intercepts, there are zero solutions.
Otherwise, if the two lines have different slopes, then there is one solution.
The slope of the first line is 3/8. The slope of the second line is 16/32 = 1/2. The slopes are different, so there is only one solution.