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2 years ago

Angle AOD=69°

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

5 0

The value of x where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is x = 23°

<h3>What is the exterior angles theorem?</h3>

The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.

The given parameters are;

Points on the circle are; ABCD

Straight lines = AOBE and DCE

Segment CO = Segment CE

∠AOD = 69°

∠CEO = x°

∠OCD = ∠ODC base angles of isosceles triangle

69° = ∠x° + ∠ODC exterior angle of a triangle

∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)

180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)

x° + 69° - 2×∠ODC = 0

∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)

69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)

69° = 3·x°

x = 69° ÷ 3 = 23°

x = 23°

Learn more about angles in a triangle here:

brainly.com/question/25215131

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3 years ago

F(x)=1256(1.24)^x Identify the initial value.

Mumz [18]

Answer:

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Step-by-step explanation:

Given the function F(x)=1256(1.24)^x, the initial value occurs at x = 0

Substitute x = 0 into the function;

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3 years ago

Help pls ty in advance

svetoff [14.1K]

$\bold{\huge{\underline{ Solution\: 2 }}}$

The name of the circle is IJKL
The name of central Angle
$\sf{\underline{= {\angle} IHJ }}$
The name of the secant = KL

${\bigstar}$ Circle :- It is a round figures, which has no end points.

${\bigstar}$ Central angle :- It the angle ,which lie in the middle of the circle.

Here, H is the mid point of the circle .So, Angle IHJ is the central angle.

${\bigstar}$ Secant :- A line drawn in circle in such a way that it intersect the circle from two distinct points. Then, It is called secant .

Here, KL is the line which acts as a secant because it intersect the circle from point K and point L.

$\bold{\huge{\underline{ Solution\: 3 }}}$

Semicircle = FGH and FIH
Minor Arc :- FG or GH
Major Arc :- FHG or GFH

${\bigstar}$ Semicircle :- Semicircle is nothing but the half of the circle.

Here, In second diagram 

FGH and FIH are acting as two semicircles which simulatineously forming one circle.

${\bigstar}$ Minor Arc :- Minor Arc is nothing but the smaller arc of the circle and it is always smaller than the half of the circle that is semicircle.

Here, 

FG or GH are the minor arc of the given circle.

${\bigstar}$ Major Arc :- Major Arc is nothing but the largest arc of the circle and it is always larger than the half of the circle that is semicircle.

Here, 