Answer:
0.5
Step-by-step explanation:
Answer: z=16
Step-by-step explanation:
Angles on a straight line add up to 180.
As AB is a straight line we can use that to help us find z.
So you would do 68+85+11=164 (I got the 11 from the angle trapped between like C and F as opposite angles are the same).
Then you would do 180-164=16
So z=16
Hope this helps :)
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Answer:

Step-by-step explanation:
The distance formula states that the distance between two points
and
is
.
The two points we have are
and
. Plugging these numbers into the distance formula, we have
.
Simplifying with order of operations, first using the distributive property, gives
.
Squaring and adding gives

which is the answer in simplest form. This also rounds to about 12.04.
Given parameters:
Midpoint of AB = M(3, -1)
Coordinates of A = (5,1)
Unknown:
Coordinates of B = ?
Solution:
To find the mid point of any line, we use the expression below;
and 
where
and
= coordinates of the mid points = 3 and -1
x₁ = 5 and y₁ = 1
x₂ = ? and y₂ = ?
Now let us input the variables and solve,
3 =
and -1 = 
5 + x₂ = 6 -2 = 1 + y₂
x₂ = 1 y₂ = -2 -1 = -3
The coordinates of B = 1, -3