Answer:
O : (-3,-4.5)
Step-by-step explanation:
center of circle: O (x.y)
Radius (r) = OA = OB = OC
r² = (x - (-1))² + (y - (-2))² ---- OA²
r² = (x - (-5))² + (y - (-2))² ---- OB²
r² = (x - (-1))² + (y - (-7))² ---- OC²
OA²=OB² : (x - (-1))² + (y - (-2))² = (x - (-5))² + (y - (-2))²
(x+1)² - (x+5)² = 0 x²+2x+1-x²-10x-25 = 0
8x = -24
x = -3
OA² = OC² (x - (-1))² + (y - (-2))² = (x - (-1))² + (y - (-7))²
y²+4y+4 = y² +14y +49
10y = -45
y = - 4.5
O : (-3,-4.5)
Let A be the angle of 79 degrees
B be the angle of (5y-4) degrees
C be the angle of (x+5) degrees
D be the angle of (9z-7) degrees
According to the property of parallelogram
Opposite angles are equal
We get, angle A = angle C
Since angle A = 79 degrees
And angle C = (x+5) degrees
We get, x+5=79
=> x=79-5=74.
Angle B = Angle D
(5y-4)=(9z-7)
Since there’s two variables here, we can’t use the property of “opposite angles are equivalent”
We have to use another property which is adjacent angles are equal
Therefore, we can find angle D
Angle D + Angle A=180
=> 9z-7 =180-79
z=108/9
z=12
Since (5y-4)=(9z-7)
Substitute z=12 in
We get, 5y-4=101
y= 105/5
y= 21
Therefore, x=74, y=21 and z=12.
Answer:
what are the #
Step-by-step explanation:??
Answer:
for the radius, the cloest i could get was 6.77. therefore the diametre would be double meaning its would be 13.54
so sorry if this is incorrect!
Answer:
is isosceles.
Step-by-step explanation:
Please have a look at the attached figure.
We are <u>given</u> the following things:


Let us try to find out
and
. After that we will compare them.
<u>Finding </u>
<u>:</u>
Side EG is a straight line so 
is sum of internal
and external 
<u>Finding </u>
<u>:</u>
<u>Property of external angle:</u> External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.
i.e. external
= 

Comparing equations (1) and (2):
It can be clearly seen that:

The two angles of
are equal hence
is isosceles.