Answer:
40°
Step-by-step explanation:
Supplementary angles add up to 180°. Complementary angles add up to 90°.
m∠1 + m∠2 = 180°
115° + m∠2 = 180°
m∠2 = 65°
m∠2 + m∠3 = 90°
65° + m∠3 = 90°
m∠3 = 25°
m∠2 − m∠3 = 65° − 25° = 40°
Answer:
90 degrees
Step-by-step explanation:
A circle circumscribed over a right triangle is the same as a circle circumscribed over a rectangle built from the extension of the right triangle.
That tells us that the hypotenuse is the diameter of the circle in that case.
Here, we can see a triangle that has the hypotenuse as the diameter of the circumscribed circle. We can infer that the triangle is a right triangle.
Answer: nop
Step-by-step explanation:
Answer:
Step-by-step explanation:
The fractional exponent m/n is often translated to radical form as ...
![x^{\frac{m}{n}}=\sqrt[n]{x^m}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%5Csqrt%5Bn%5D%7Bx%5Em%7D)
In this case, I find it easier to evaluate as ...
![x^{\frac{m}{n}}=(\sqrt[n]{x})^m=\boxed{(\sqrt{9})^3=3^3=27}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%3D%28%5Csqrt%5Bn%5D%7Bx%7D%29%5Em%3D%5Cboxed%7B%28%5Csqrt%7B9%7D%29%5E3%3D3%5E3%3D27%7D)
