Answer:
The second choice is correct
Step-by-step explanation:
Here, we want to get the correct statement
As can be seen, while 2 is the angle at the circumference, 1 is the angle at the center
Mathematically, we know that angle at the center is two times the angle at the circumference
Thus,
m1 = 1/2 (m2)
or m2 = 2 * m1
Answer:
and x=9
Step-by-step explanation:
We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.
![y=\frac{9\sqrt{2} }{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B9%5Csqrt%7B2%7D%20%7D%7B2%7D)
To solve for x use Pythagorean Theorem.
a^2 + b^2 = c^2.
![\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9](https://tex.z-dn.net/?f=%5Cfrac%7B9%5Csqrt%7B2%7D%20%7D%7B2%7D%20%2B%5Cfrac%7B9%5Csqrt%7B2%7D%20%7D%7B2%7D%3Dx%5E2%5C%5C%5C%5C%5Cfrac%7B81%7D%7B2%7D%20%2B%5Cfrac%7B81%7D%7B2%7D%20%3Dx%5E2%5C%5C%5C%5C%5Cfrac%7B162%7D%7B2%7D%20%3Dx%5E2%5C%5C%5C%5Cx%3D%5Csqrt%7B%5Cfrac%7B162%7D%7B2%7D%20%7D%20%3D%5Csqrt%7B81%7D%20%3D9%5C%5C%5C%5Cx%3D9)
(12 U.S. quarts) - (8 U.S. cups) = 10 U.S. quarts
Done! your answer is 10 us quarts.