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pickupchik [31]
3 years ago
10

5. In the diagram shown below, BC is drawn tangent

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

9514 1404 393

Answer:

 (2)  72°

Step-by-step explanation:

In this geometry, the angle at the tangent is half the measure of the intercepted arc.

  ∠CBD = (arc BD)/2 = 144°/2

  ∠CBD = 72°

__

<em>Additional comment</em>

Consider a point X anywhere on long arc BD. The inscribed angle at X will have half the measure of short arc BD, so will be 144°/2 = 72°. This is true regardless of the position of X on long arc BD. Now, consider that X might be arbitrarily close to point B. The angle at X is still 72°.

As X approaches B, the chord XB approaches a tangent to the circle at B. Effectively, this tangent geometry is a limiting case of inscribed angle geometry.

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4/9

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Answer:

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Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how w
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Answer:

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Step-by-step explanation:

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Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
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<h3>Answer:</h3>

1.9

Step-by-step explanation:

<h3>The above is direct and inverse variation.</h3>

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substitute A, B and C into equation (1).

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dividing bothsides by 3

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substitute K = 8 into equation (1)

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