49 should be the correct answer.
-TheOneandOnly003
Hello,
x²+2*7x+49+y²+2y+1+14-49-1=0
==>(x+7)²+(y+1)²=36
Center is (-7,-1) and radius 6.
They are the same measurements, because:
from 10x + 5, first do vertical angle.
then, alternate interior angle,
then vertical angle again,
and another alternate interior angle.
For each vertical and alternate interior angles, the measurements stay the same.
Set them equal to each other, isolate and solve for x.
10x + 5 = 11x - 1
First, isolate the x. Subtract 10x from both sides, and add 1 to both sides
10x (-10x) + 5 (+1) = 11x (-10x) -1 (+1)
Simplify
5 + 1 = 11x - 10x
6 = x
x = 6
6 is your answer for x.
hope this helps
All of the angles combined =360 degrees
Vertical angles are congruent, so if angle 1 = 60, so does angle 3
Logically we have to find the measure of angle 4 and angle 2 combined and divide by 2
60 + 60 = 120
360 - 120 = 240
240 / 2 = 120
angle 4 = 120
angle 2= 120
angle 3 = 60