311,225,823,387,830,850,069
Oof
Four times fifteen plus twenty in parentheses
idk if its correct though <span />
AAS Theorem is what should be used I believe. The Sides are congruent and so are the 90 degree angles, the angles that are next to eachother on the left are evenly split by the transverse theorem. So AAS states that two angles and a side being equivelant on both triangles makes them congruent.
4. You're right that the leg labeled
![x](https://tex.z-dn.net/?f=x)
occurs in a 1-to-2 ratio with the hypotenuse, but more to the point, it also occurs with the leg of length 10 in a 1-to-
![\sqrt3](https://tex.z-dn.net/?f=%5Csqrt3)
ratio. In other words,
![10=x\sqrt3\implies x=\dfrac{10}{\sqrt3}](https://tex.z-dn.net/?f=10%3Dx%5Csqrt3%5Cimplies%20x%3D%5Cdfrac%7B10%7D%7B%5Csqrt3%7D)
and so
![2x=\dfrac{20}{\sqrt3}](https://tex.z-dn.net/?f=2x%3D%5Cdfrac%7B20%7D%7B%5Csqrt3%7D)
5. In this kind of triangle, the legs form a 1-to-
![\sqrt2](https://tex.z-dn.net/?f=%5Csqrt2)
ratio with the hypotenuse, so it follows that
![x=2.1](https://tex.z-dn.net/?f=x%3D2.1)
.
6. You have
![x](https://tex.z-dn.net/?f=x)
and
![x\sqrt3](https://tex.z-dn.net/?f=x%5Csqrt3)
mismatched. The larger leg in this kind of triangle has the
![\sqrt3](https://tex.z-dn.net/?f=%5Csqrt3)
scaling factor. So in fact,
![x=25](https://tex.z-dn.net/?f=x%3D25)
, which makes the larger leg
![x\sqrt3=25\sqrt3](https://tex.z-dn.net/?f=x%5Csqrt3%3D25%5Csqrt3)
, and the hypotenuse would be
![2x=50](https://tex.z-dn.net/?f=2x%3D50)
.
This is the equation of a circle with center (-8,1) and a radius of 3
the answer is B