If B is the midpoint of AC, that means that the distances from A to B and B to C are the same. The distance from A to B is 8x + 4, and the distance from B to C is 10x - 6, so we can set these two equivalent:
8x + 4 = 10x - 6
Solving for x:
4 = 2x - 6 (subtract 8x from both sides)
10 = 2x (add 6 to both sides)
5 = x (divide both sides by 2)
So, x = 5, which is the second option given.
Answer:
r = 16, q = 16√2
Step-by-step explanation:
This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.
Therefore, r = 16 and q = 16√2.
Answer:
(1, 2 )
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
C(1, - 2 ) → C'(1, 2 )