1/1,000,000,000 is the answer.
The two triangles that make up the parallelogram are congruent, which means their corresponding angles are congruent. The opposite angles are both 115 degrees and angle 1 is equal to 50 degrees, as they are corresponding angles.
Interior angles of triangles add to equal 180 degrees, so you can set up an equation to find m<2:
180 = 115 + 50 + x
180 = 165 + x
15 = x
Answer:
The measure of angle 2 is 15 degrees.
Answer:
x2 +8x +4y +4 = 0
4y= -x2 -8x -4y = -.25*x^2 -2x -1
a = -.25b = -2c = -1
x position of vertex:
h = -b / 2a
h = 2 / 2*-.25h = 2 / -.5h = -4
y position of vertex:
k = ah^2 + bh + ck = -.25*-4^2 + -2*-4 + -1k = -4 +8 -1k = 3
VERTEX = (-4, 3)*
x value of focus =x value of vertex = -4
y value of focus =(1 (-b^2 -4ac)) / 4a
a = -.25 b = -2 c =-1
y value = (1 (-4 -4*-.25*-1)) / 4*-.25
y value = (1 (-4 -4*-.25*-1)) / -1
y value = (1 -4 +1) / -1y value = (-2 / -1)y value = 2
focus value = (-4, 2)
Answer is the last one.
6=2(x+8)
{ ÷2}
3=x+8
{-8}
-5=x
x=-5