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klemol [59]
3 years ago
13

In triangle PQR, p equals what.

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0
The correct answer is 3.

The formula for the law of sines is the following:

P/sin P = Q/sin Q = R/sin R

So, if you break these up into two different equations, you will have: 

P/sin P = Q/sin Q and P/sin P = R/sin R

To solve, get P alone on one side of the equation by multiplying the other side by sin P:

P = Q sin P/sin Q and P = R sin P/sin R

When you look at the answers, you'll see that the second equation is an option.
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What is the measure of arc bc?<br> A. 76<br> B. 40<br> C. 96<br> D. 58
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_____

<em>Comment on intersecting secants</em>

When the secants intersect <em>inside</em> the circle, the angle where they cross is half the <em>sum</em> of the intercepted arcs. When they intersect <em>outside</em> the circle (as here), the angle where they meet is half the <em>difference</em> of the intercepted acs.

Sometimes it is easier to remember two related relationships than it is to remember just one of them.

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