Answer:
(7, 19)
Step-by-step explanation:
We know that we are talking about circle C, which means that the center is point C. Since the diameter is AB, that means that AB goes through the center C and that center C is the midpoint of the segment AB.
Say the coordinates of B are (x, y). We can use the Midpoint Theorem to figure out B. The Midpoint Theorem states that for two points 
and 
, the coordinates of the midpoint are: 
.
Here, our two points are A(5, 1) and B(x, y). Then, the midpoint is: 
. We already know the midpoint is C(6, 10), so we can just set 6 equal to 
and set 10 equal to 
:
6 = ⇒ 12 = 5 + x ⇒ x = 12 - 5 = 7
AND
10 = ⇒ 20 = 1 + y ⇒ y = 20 - 1 = 19
So, the coordinates of B is: (7, 19).
Hope this helps!
Answer:
missing side is 5x - 4
Step-by-step explanation:
x - 1 + ( 3x + 6 ) + third side = 9x + 1
x - 1 + 3x + 6 + third side = 9x + 1
4x + 5 + third side = 9x + 1
third side = 9x + 1 - ( 4x + 5 )
third side = 9x + 1 - 4x - 5
third side = 5x - 4
X=5
In a rhombus, all sides are congruent. So set the sides to each other
x+5=2x
Subtract x on both sides
5=x
