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saul85 [17]
4 years ago
12

Find the length of both arc AB and arc APB, where

Mathematics
2 answers:
Alexeev081 [22]4 years ago
7 0
Check the picture below.

as you can see, the angle at P is the inscribed angle, and the intercepted arc is AB, thus 2P = arcAB.

and since a circle has a total of 360°, the other arc is just 360 - arcAB.

nika2105 [10]4 years ago
5 0
The length of the arc cannot be found without knowing some linear measure of the circle. None are given.

The measure of arc AB is twice that of angle APB, so is
   2*108° = 216°.
The measure of arc APB is the difference between that and 360°, so is
   360° -216° = 144°.
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Let f (x) = x - 4 and g(x) = 6 - x<br> Evaluate f(5) + g(5).
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2

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4 years ago
Triangle LMN with vertices L(1,5), M(3,8), and N(8,1); 90° clockwise
zaharov [31]

Answer

L' (5, -1)

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N' (1, -8)

The sketch of this rotated triangle is presented below

Explanation

Rotating a given coordinate A(x, y) 90° about the origin in the clockwise direction gives a new coordinate A'(y, -x)

So, for each of these,

L (1, 5) → L' (5, -1)

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N (8, 1) → N' (1, -8)

So, to draw this image, we will mark this new rotated points on the graph, then connect the points to form triangle L'M'N'.

The sketch of this rotated triangle is presented above under 'Answer'

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