Help me! l want the correct answers °_°
1 answer:
Answer:
see explanation
Step-by-step explanation:
(a)
The angle on the circumference is half the central angle , that is
∠ A = ∠ BOC ÷ 2 = 50° ÷ 2 = 25°
(b)
Δ AOC is isosceles ( OA = OC , radii of the same circle ) then the base angles are congruent , that is
∠ ACO = ∠ A = 25°
(c)
Δ BOC is isosceles ( OB = OC, radii of the same circle ) then the base angles are congruent, that is
∠ BCO = =
= 65°
(d)
∠ ACO + ∠ BCO = 25° + 65° = 90° ( angle in a semicircle )
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Answer:
|CE|=2
Step-by-step explanation:
The quadrilateral is shown in the attachment
Recall that the diagonals of a rectangle are congruent.
This implies that:
|AC|=|BD|
We substitute the expressions to get:
This is now a linear equation in one variable.
Group similar terms to get:
Simplify to get:
15=3x
Divide both sides by 3 to get:
Recall again that the diagonals of a quadrilateral bisect each other.
Plug x=5
