The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
(a+b+c)/2. this is your answer. if it had the numbers i would solve it fully, but it only has variables.
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-9)...x1 = -5, and y1 = -9
(-5,13)...x2 = -5 and y2 = 13
now we sub and solve
d = sqrt (-5 - (-5)^2 + (13 - (-9)^2
d = sqrt (-5 + 5)^2 + (13 + 9)^2
d = sqrt (0^2 + 22^2)
d = sqrt (484)
d = 22 <==
Answer:
p = -2
Step-by-step explanation:
O we have to solve this equation:
24p + 12 - 18p = 10 + 2p - 6
First, we will operate what we have in both sides:
24p - 18p + 12 = 10 - 6 + 2p
6p + 12 = 4 + 2p
We substract 2p in both sides and 12 too.
6p + 12 - 2p - 12 = 4 + 2p - 2p - 12
4p = -8
Now, we divide both sides by 4
4p/4 = -8/4