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taurus [48]
3 years ago
15

Discrete Math - Find X

Mathematics
1 answer:
Snezhnost [94]3 years ago
3 0

Answer:

  x = 70°

Step-by-step explanation:

Clockwise from top, call the three tangent points A, B, and C. Central angle AXC is the supplement of the marked external angle, so is 140°. Arc AB is bisected by the upper ray of angle x; and arc BC is bisected by the lower ray of angle x. That is to say x is half the measure of arc AC, so is 70°.

__

Attached is the output of a geometry program. The angle at lower left is 40° as in the given figure. The central angle α (70°) remains the same as tangent point C is moved around, which is to say that the measure of the angle α does not depend on the dimensions of the triangle containing α. It just depends on the fact that the triangle is tangent to the circle.

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pishuonlain [190]

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3 years ago
10 - 2x = 19x +2 - 5x
Darina [25.2K]

Answer:

x = 1/2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

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Step 2: Subtract 14x from both sides.

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3 0
3 years ago
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