Answer:
see explanation
Step-by-step explanation:
(a)
OC = OB ( both radii of the circle )
Thus Δ BOC is isosceles with congruent base angles.
∠ BOC = ∠ BCO = 50°
(b)
∠ ACB = 90° ( angle in a semicircle ), then
∠ ACO = 90° - 50° = 40°
OA = OC ( both radii of the circle )
Thus Δ ACO is isosceles with congruent base angles.
∠ BAC = ∠ ACO = 40°
<h3>Answer:</h3>
x = 2
<h3>Explanation:</h3>
The rule for secants is that the product of segment lengths (on the same line) from the point of intersection to the points on the circle is a constant for any given point of intersection. Here, that means ...
... 3×(3+5) = 4×(4+x)
... 6 = 4+x . . . . divide by 4
... 2 = x . . . . . . subtract 4
_____
<em>Comment on this secant relationship</em>
Expressed in this way, the relationship is true whether the point of intersection is inside the circle or outside.
Answer:
4 (2 a + 3 b)
Step-by-step explanation:
Simplify the following:
8 a + 12 b
Factor 4 out of 8 a + 12 b:
Answer: 4 (2 a + 3 b)
Decimal: 5.0
Fraction: 5/1