Answer:
x = 47, y = 133
Step-by-step explanation:
Since the lines are parallel, then
x = 47 ( alternate angles )
x and y are adjacent angles and supplementary, thus
y = 180 - x = 180 - 47 = 133
Check the picture below.
notice that the point A is the center of the circle, and thus the ∡BAF is a central angle, and the arc BF gets its angle measurement from ∡BAF, in red.
now, notice, ∡BAF has a twin
vertical angle, namely ∡CAE in green, and the arc made by ∡CAE is congruent to BF.
Answer:
72 units³
Step-by-step explanation:
length = 12 units
height = 4 units
width = 3 units (8 - 5 = 3)
12 x 3 x 4 = 144
144 / 2 = 72
Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

In this question:

17th term:

So the correct answer is:
d. -38
Y=mx+b is what I learned and point slope is y-y1=m*x-x1