Answer: I would guess B
Step-by-step explanation: If I am wrong.... I am really sorry. :(
Answer:
angle B is 45 degree.
Step-by-step explanation:
since both radius are equal in a circle the triangle formed is ann isosceles triangle.
base angle of an isosceles triangle are equal
angle B be x
angle A = angle B (being base angles of a triangle)
then angle A is also x
angle A + angle B + angle C =180 degree (sum of interior angles of a triangle)
x + x + 90=180
2x =180-90
x=90/2
x=45 degree
Answer:
84
Step-by-step explanation:
Let's say Nick gets amount N, Angad amount A, and June amount J.
Here's what we know:
A+N+J=140
A=2*N
N=3*J.
Let's plug these values in.
N=3*J, so A+N+J=140 can now be A+3*J+J=140.
A=2*N, and N=3*J, so A=2*3*J=6*J. Then, A+3*J+J=140 is now 6*J+3*J+J=140, so 10*J=140 and J=14. N = 3*J=42 and A=2*N=84. Checking this, 14+42+84=140, so we are good to go!
Answer:
Step-by-step explanation:
The terms of this sum make the arithmetic sequence.
The fomula of a sum of <em>n</em> terms of an arithmetic sequence:
![S_n=\dfrac{[2a_1+(n-1)d]\cdot n}{2}](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7B%5B2a_1%2B%28n-1%29d%5D%5Ccdot%20n%7D%7B2%7D)
We have
Substitute:
![S_{50}=\dfrac{[2\cdot2+(50-1)\cdot15]\cdot50}{2}=(4+49\cdot15)\cdot25=(4+735)\cdot25\\\\=739\cdot25=18,475](https://tex.z-dn.net/?f=S_%7B50%7D%3D%5Cdfrac%7B%5B2%5Ccdot2%2B%2850-1%29%5Ccdot15%5D%5Ccdot50%7D%7B2%7D%3D%284%2B49%5Ccdot15%29%5Ccdot25%3D%284%2B735%29%5Ccdot25%5C%5C%5C%5C%3D739%5Ccdot25%3D18%2C475)
