Answer:
The angle x is equal to 30°.
Step-by-step explanation:
We are given that
- Lines A and B are parallel.
- These lines are transversed by Line C.
We can find out what angle is the supplement of 150° by setting up a simple equation.
![\text{150 + x = 180}\\\\\text{x = 30}](https://tex.z-dn.net/?f=%5Ctext%7B150%20%2B%20x%20%3D%20180%7D%5C%5C%5C%5C%5Ctext%7Bx%20%3D%2030%7D)
Then, we can use the Corresponding Angles Postulate. This states that when two parallel lines are cut by a transversal, the angles that are corresponding (not a supplement) are congruent to each other.
Therefore, the angle that is to the top right of x is equal to 150°.
Finally, we need to find x. We can do this by using the same equation above and finding the supplement. We know this is 30°, so x = 30°.
The given equation is an equation of a circle where the number after the equal sing is the radius squared.
To find the radius take the square root.
Radius = SQRT(169)
Radius = 13 units.
Answer:
The correct option is;
Reflection over the y-axis
Step-by-step explanation:
An even function is a function that satisfies the following function equation;
f(x) = f(-x)
Therefore, for an even function, we have;
f(x) - f(-x) = 0
Which gives that the values of f(x) of the even function is the same upon reflection about the y-axis whereby the values of x changes from x to -x
Therefore, the symmetry of an even function is about the y-axis
However, an odd function is a function that satisfies the following function equation;
f(-x) = -f(x)
Therefore, reflection across the y-axis will result in an inversion of the odd function such that the odd function is not symmetrical about the y-axis as we have;
f(-x) = -f(x) ≠ f(x) which simplifies to f(x) ≠ f(-x).
Answer:
4.5 units
Step-by-step explanation:
PQ transferred to WX, and QR to XY.
PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :
4 × x = 6
x = 6/4 = 3/2
the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.
=> QR × 3/2 = XY.
3 × 3/2 = 9/2 = 4.5 = XY
Hello
This question requires us to change the subject of a formula. This can be achieved by following the order of operations in reverse. First, isolate the terms with our variable of interest, x:
ax - bx = z - y
Then, we take x out as it is being multiplied to both a and b:
x(a - b) = z - y
Dividing (a - b) on both sides, we get:
x = (z - y) / (a - b)
Thus, the answer is A