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EastWind [94]
3 years ago
10

Solve the question below, please

Mathematics
1 answer:
zhuklara [117]3 years ago
3 0

Answer:

Step-by-step explanation:

(x-3)/(x+4) = x/(x+10)

(x-3)(x+10) = x(x+4)

x²+7x-30 = x²+4x

3x = 30

x = 10

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_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

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