<u>ANSWER:</u>
The midpoint of AB is M(-5,1). The coordinates of B are (-6, 7)
<u>SOLUTION:
</u>
Given, the midpoint of AB is M(-5,1).
The coordinates of A are (-4,-5),
We need to find the coordinates of B.
We know that, mid-point formula for two points A
and B
is given by

Here, in our problem, 
Now, on substituting values in midpoint formula, we get

On comparing, with the formula,



Hence, the coordinates of b are (-6, 7).
Answer:
C. AAS
Step-by-step explanation:
they share 2 angles(A) you can tell by the markings and they share that one side
by this point you have 2 options left
ASA
or
AAS
the angles are right next to each other so it's AAS
Answer:
9 laps.
Step-by-step explanation:
-Let x be the number of laps Taylor runs.
-Given that the ratio of Kyle to Taylor laps is 2:3, we express the actual laps in meters to solve for x as follows:

Hence, Taylor runs 9 laps.
Answer:
c. (5, -2)
Step-by-step explanation:
as we can clearly see, the 4th vertex has to be on the positive side of x.
therefore, all answer options with negative x are out.
(2, -5) is almost at D (-1, 5). that cannot be right for a rectangle.
that leaves only c as right answer.
FYI - how to get this without predefined answer portions ?
the x- difference of B to A is 4 (from -5 to -1). the x-difference from D to C must be the same (4). 1 + 4 = 5.
so, x of D must be 5.
the y- difference of B to A is 3 (from 3 to 6). the y-difference from D to C must be the same (3). -5 + 3 = -2.
so, y of D must be -2.
It's difficult to make out, but I think the task is to expand

Write the number in polar form first:

By DeMoivre's theorem, you have

and converting back to Cartesian form, this number is equivalent to