C. y coordinates equal the gas pack
Answer:
angle x = 98
angle y = 82
angle z = 82
Step-by-step explanation:
angle y + 98 = 180; therefore, angle y = 82 degrees
angles z and y are alternate interior angles and are congruent (equal)
angle x is 98 degrees because angles x and y are same-side interior and their angles are supplementary (add up to 180 degrees)
Answer:
20.25 pi
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
9 pi = 2 * pi *r
Divide each side by 2pi
9pi / 2 pi = 2 pi r / 2 pi
4.5 = r
Now we can find area
A = pi r^2
= pi ( 4.5)^2
20.25 pi
Answer:
-56
Step-by-step explanation:
Hello!
Let's create an equation to figure out what the middle integer really is.
Creating an equation:
n + (n + 1) + (n + 2) = -168 (This is true because we must account for the <em>consecutive integers </em>part.)
Simplifying:
3n + 3 = -168
Subtracting:
3n = -171
Dividing:
n = -57
Now, we plug-and-chug:
-57, -56, -54 (this is because we accounted for adding <em>positive </em>one.)
Thus, the middle integer is
.
Check:
We can see if we are correct by adding up -57, -56, -54.
(-57) + (-56) + (-54) = -168
So we are correct!
Hope this helps!