Notice the picture below
in a rectangle, all angles are 90 degrees and the diagonals are equal
meaning the diagonals bisect each other, they cut in equal halves
so. those two sides are equal, and thus they make up an isosceles triangle
on the sides
if those two sides are equal, the angles they make on the other side are equal
so if angle D is 55 degrees, angle A is 55 degrees
and the missing angle is 180 - (55 + 55) or 70
that's just the left-side
now, angle "x" on the right side, is a vertical angle of that angle on the left,
and vertical angles are equal, thus x = 70
I think the answer would be #2
Answer:
y = - 2 x
Step-by-step explanation:
The catch to this one (and there is a catch) is that the y intercept is at 0,0.
All you need is the slope and that means you have to solve the equation for y
2y = 4x - 6y + 4 Add 6y to both sides
2y + 6y = 4x + 4 Combine terms on the left
8y = 4x + 4 Divide by 8
y = 4x/8 + 4/8 Reduce 4/8 to 1/2
y = 4x/8 + 1/2
y = 1/2 x + 1/2
Nowyou are all set to answer the question.
m1 * m2 = - 1
m1 = 1/2 because the coefficient in front of the x is the slope (5/8 in this case). m1 and m2 are both slopes.
1 /2 * m2 = - 1 multiply both sides by 2
(1/2)*(2)*m2 = -1 * (2)
m2 = - 2
The slope of the equation you want is - 2
y = -2 x is the answer
The graph below shows the two equations.