LMNP is rotated 180° clockwise around the origin.
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Answer:
Step-by-step explanation:
We know that r and s have a combined length of 70. Therefore:
Notice that we can determine r by using the Pythagorean Theorem. In this case, r is the hypotenuse, and 20 and 8 are the legs. Therefore:
Substituting 20 and 8 for a and b and r for c yields:
Compute:
Therefore:
Now, we can determine s. We know that:
So, by substitution:
Therefore:
Now, notice that, with respect to x, 20 is the opposite side and s is the hypotenuse.
Therefore, we can use the sine ratio. The sine ratio is the ratio between a right triangles opposite side to its hypotenuse.
In this case, the opposite to x is 20, and the hypotenuse is s, or 70-4√29. Therefore:
By substitution:
Take the inverse sine of both sides:
Use a calculator. Therefore: