A. ∠ACE ≅ ∠ACE
This is correct.
Answer:
(x + 4)² + (y - 2)² = 8
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 4, 2 ) , then
(x - (- 4))² + (y - 2)² = r²
(x + 4)² + (y - 2)² = r²
CA is the radius of the circle
To find r use the distance formula
r = 
with (x₁, y₁ ) = C(- 4, 2) and (x₂, y₂ ) = A(- 2, 4)
r = 
= 
=
, then r² = (
)² = 8
Then
(x + 4)² + (y - 2)² = 8 ← equation of circle
Answer:
Larger number = 32
Step-by-step explanation:
Smaller number = x
Larger number = y
y - x = 8 -----------(I)
3y = 4x ---------------(II)
3y/4 = x
Plug in x = 3y/4 in equation (I)

y = 8*4
y = 32
Plug in y = 32 in equation (II)
3y = 4x
3*32 = 4x
4x = 3*32
x = 
x = 3 *8
x = 24
Answer: 3/4
Step-by-step explanation:
63 ÷ 21
84 ÷ 21