Answer:
D. 50°
Step-by-step explanation:
We know that there are 3 line segments that are forming the angles. Based on that, we can safely say that each line segment is 180°. Given that, we can find the other 2 interior angles of the triangle. We know that one of the exterior angles is 90° so that interior angle also has to be 90° because both angles have to sum to 180. The 2nd exterior angle that we know is 140, so 180-140 = 40°. Since we know the other 2 angles of the triangle now and we know that all the angles of a triangle must sum to 180°, we add 90 and 40 to get 130 and then subtract that from 180 to get 50°. That would look something like this: 180-(90+40) = 180 - 130 = 50°. Hope this helps!
The principle amount is simply what she borrowed initially so it would be $1,000.
The interest amount was how much was added from the initial amount:
$1,550 - $1,000 = $550
Answer:
![\large\boxed{m](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bm%3C1%5Cto%20m%5Cin%28-%5Cinfty%2C%5C%201%29%7D)
Step-by-step explanation:
![m](https://tex.z-dn.net/?f=m%3C2%2Bm%3C3%5Cto%20m%3C2%2Bm%5C%20and%5C%202%2Bm%3C3%5C%5C%5C%5Cm%3C2%2Bm%5Cqquad%5Ctext%7Bsubtract%7D%5C%20m%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5Cm-m%3C2%2Bm-m%5C%5C0%3C2%5Cqquad%5Cbold%7BTRUE%7D%5Cto%20m%5Cin%5Cmathbb%7BR%7D%5C%20%28all%5C%20real%5C%20numbers%29%5C%5C%5C%5C2%2Bm%3C3%5Cqquad%5Ctext%7Bsubtract%202%20from%20both%20sides%7D%5C%5C2-2%2Bm%3C3-2%5C%5Cm%3C1%5C%5C%5C%5Cm%5C%20%5Ctext%7Bis%20any%20real%20number%20and%7D%5C%20m%3C1.%5C%5C%5C%5C%5Ctext%7BTherefore%7D%5C%20m%3C1%5Cto%20m%5Cin%28-%5Cinfty%2C%5C%201%29)