Answer:
2/3x-y=-4
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
This is not necessarily true because there are 2 types of these triangles, a 40-70-70 triangle or a 40-40-100 triangle. Since their angle measures are different, they are not similar.
Set components equal:
![t = 8-s \\ 5-t = s-3 \\ 48 t^2 = s^2](https://tex.z-dn.net/?f=t%20%3D%208-s%20%5C%5C%20%205-t%20%3D%20s-3%20%5C%5C%20%2048%20t%5E2%20%3D%20s%5E2)
From this we find:
![t = 8-s \\ s = 4 \sqrt{3} t](https://tex.z-dn.net/?f=t%20%3D%208-s%20%5C%5C%20%20s%20%3D%20%204%20%5Csqrt%7B3%7D%20t)
Substitute and solve system:
![t = \frac{8}{1+4 \sqrt{3}} = 1.009 \\ \\ s = 8-t = 8 - 1.009 = 6.991](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B8%7D%7B1%2B4%20%5Csqrt%7B3%7D%7D%20%3D%201.009%20%20%5C%5C%20%5C%5C%20%20s%20%3D%208-t%20%3D%208%20-%201.009%20%3D%206.991)
The point where they intersect is:
We know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment. (Intersecting Secant-Tangent Theorem)
so
ST²=RT*QT
RT=7 in
QT=23+7-----> 30 in
ST²=7*30-----> 210
ST=√210-----> 14.49 in
the answer is
RT=14.49 in
Answer:
26 units
Step-by-step explanation:
I just did this, so I know it's right