9514 1404 393
Answer:
y = 5x - 7
Step-by-step explanation:
We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.
10x -2y = ...
Removing a common factor of 2 gives ...
5x -y = 5(2) -(3) = 7 . . . . using (x, y) = (2, 3), we can find the constant
Solving for y, we get ...
5x -7 = y . . . add y-7
y = 5x -7 . . . write in the desired form
For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.
Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:

The opposite angles in a parallelogram are congruent, therefore:

The sum of internal angles is 360º, therefore we have:

The value of x is 33º, the value of y is 38º and the value of z is 109º.
Answer:
c) 0
Step-by-step explanation:
m= slope
m= (y2 -y1)/(x2-x1)
we have the points:
(12,6) and (-1,6)
x1= 12 y1= 6
x2= -1 y2= 6
so we have:
m= (6-6)/( -1 -12)
m= 0/ -13
m= 0
The formula for area of a circle is π × radius^2, and to find the radius we can just divided the diameter by 2 and get 2 inches. You don't need to use a calculator here, because π is approximately equal to 3.14, so 3.14 × 2^2 = 12.56, which is answer B. I hope this helps!