Answer:
Angle C = 142 degrees
Step-by-step explanation:
A+B = 90
B+C = 180
Rearrange first equation to get B = 90-A
Plug this into the second equation:
90-A + C = 180
C = A + 90
Plug in A, C = 52 + 90 = 142
RS Bisects QT means, it cuts QT in two equal halves, so QP would be equal to PT, as it is an isosceles triangle, one other side would be equal as well, so RP is equal to PS, Now, by ASA, we conclude the both mentioned triangles in the figure are congruent.
Hope this helps!
Answer:

Step-by-step explanation:
Since
and
are equal, we can set them equal to each other:

Substitute
to solve for
:

Since this is a compound interest problem, you have to take note that the amount Catherine will get per year is not the same. It will increase per year since it is compounded. So first, we get the amount after one year. This will be 7000 x 0.04 which is 280 plus 7280. In the second year, she will get 7571 (7280 x 0.04 + 7280). In the third year, she will get 7874 (7571 x 0.04 + 7571). In the fourth year, she will get 8189 (7874 x 0.04 + 7874). And finally in the fifth year, she will get 8517 (8189 x 0.04 +8189). So after five years, she has 8517