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inna [77]
2 years ago
11

ABC is a tangent to the circle below. O is the centre of the circle. Work out the size of angle 0. Give reasoning to justify you

r answer. C B A 0 22° O D Not drawn accurately​

Mathematics
1 answer:
Delvig [45]2 years ago
6 0

Answer:

Θ = 46°

Step-by-step explanation:

the angle between a tangent and a radius at the point of contact is 90° , so

∠ ABO = 90°

since OB = OD ( radii of circle ) then Δ BOD is isosceles and

∠ OBD = ∠ ODB = 22°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ AOB is an exterior angle of the triangle , then

∠ AOB = 22° + 22° = 44°

the sum of the 3 angles in Δ AOB = 180° , then

Θ + 44° + 90° = 180°

Θ + 134° = 180° ( subtract 134° from both sides )

Θ = 46°

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obesity: The National Center for Health Statistics conducted the National Health Interview Survey (NHIS) for 27,787 U.S. civilia
WARRIOR [948]

Answer:

False.

Step-by-step explanation:

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29.9% is the proportion of adults aged 20 and over that were obese in January - September 2014.

This percentage was obtained from a sample of 27 787 adults, it's not a parameter but an estimation of the population proportion obtained from this sample.

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5 0
3 years ago
Which term describes the set of all possible output values for a function
Amanda [17]

Answer:

range

Step-by-step explanation:

,domain describes the input values and range describes the output

8 0
2 years ago
(d) If mZABD=60°, and point C is in the interior of ABD, then mZABC=40° and m/CBD=20°. Counterexample: m ZABC = [], m2 CBD = "
DENIUS [597]

The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.

Point C is the interior of ABD.

The measure of angle ABD is 60°.

The measure of angle ABC is 40°.

The measure of angle CBD is 20°.

Now when we add the angle ABC and CBD:

∠ ABC + ∠ CBD = 40° + 20°

∠ ABC + ∠ CBD = 60°

∠ ABC + ∠ CBD = ∠ ABD

The counter-example will be:

∠ ABD = ∠ ABC + ∠ CBD

60° = 35° + 25°

Therefore,

∠ ABC = 35° and ∠ CBD = 25°

Learn more about angle here:

brainly.com/question/22323626

#SPJ9

5 0
2 years ago
In a class of students, the following data table summarizes how many students have a
Illusion [34]

Answer:

160/32= 5

5*5= 25 mm

Step-by-step explanation:

5 mm is how many millimeters represents the kilometers.

I hope this helps!

6 0
3 years ago
Find the measure of arc AC whose inscribed angle is 62 degrees.
Marina CMI [18]
Check the picture below, that's the "inscribed angle theorem"

3 0
3 years ago
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