Answer:
B
Step-by-step explanation:
The measure of the chord- chord angle ABC is half the sum of the arcs intercepted by the angle and its vertical angle, that is
∠ ABC = 0.5( 82 + 44)° = 0.5 × 126° = 63° → B
12 - 23 = -11
-11 + 1,345 = 1,334
1,334/123 = 10.85
Answer:
Step-by-step explanation:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
=======================================================
Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
Point A = (-2, 3) becomes A ' = (-2, -3)
Point B = (0, 3) becomes B ' = (0, -3)
Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
Answer:
A) Not mutually exclusive
Step-by-step explanation:
Given
Required
Determine if they are mutually exclusive or not
Mutually exclusive are defined by:
So, we have:
Take LCM
By comparing:
---- Calculated
---- Given
We can conclude that A and B are not mutually exclusive because:
Please consider the attached file.
We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.
We will use Pythagoras theorem to solve for KJ as:
Now we will take positive square root on both sides:
Therefore, the length of line segment KJ is 
and option D is the correct choice.
