The answer is 142 degrees. Angles m<1 and the 38 degree angle are supplementary angles. Supplementary angles equal 180 degrees so, you would do 38 + m<1 = 180. Since you don’t know angle 1, you would subtract 38 from both sides. Once you do that, you get your answer of 142 degrees.
It would be: -7/12 + 7/10 = -35+42 /60 = 7/60
So, your final answer is 7/60
Hope this helps!
9514 1404 393
Answer:
- 4% fund: $39,000
- 52% fund: $1000
Step-by-step explanation:
Let x represent the amount invested at 52%. Then (40000-x) is the amount invested at 4%. The total annual interest is ...
0.52x +0.04(40000-x) = 2080
0.48x = 480 . . . . . . . . . subtract 1600, simplify
x = 1000 . . . . . . . . . divide by 0.48
Then the amounts invested in each fund are ...
4% fund: $39,000
52% fund: $1000
magnitude = sqrt(6^2+4^2)
= sqrt ( 36+16)
=sqrt (52) = 7.2
angle = tan^-1(6/4) = 56 degrees
