Hey there!
To find the value of an angle in a triangle, you need to add the 3 angles. You have angles with 55 degrees, 65 degrees, and x degrees. Put this into an equation. The equation would be 55+65+x=180. Simplify to get 120+x=180. You need to isolate x, so subtract 120 from both sides to get x=60. So the value of x is 60 degrees.
I hope this helps!
Answer: he invested $15000 in part 1 and $60000 in part 2
Step-by-step explanation:
Let x represent the amount of money invested in part one.
Let 4x represent the amount of money invested in part 2 .
Total amount of money invested in part 1 and part 2 is
x + 4x = 5x
The formula for simple interest is expressed as
I = PRT/100
Where
P is the principal or initial amount.
T is the duration in years
R is the number rate.
For part 1
R = 7%
T = 1 year
P = x
I = (x × 7 × 1)/100 = 0.07x
For part 2,
R = 11%
T = 1 year
P = 4x
I = (4x × 11 × 1)/100 = 0.44x
if the total annual income from interest is 7650. This means that
0.44x + 0.07x = 7650 - - - - - - - -2
0.51x = 7650
x = 7650/0.51
x = 15000
Amount invested in part 1 is $15000
Amount invested in part 2 is 4×15000 = $60000
The answer is E. To find a line perpendicular to another, you have to take the reciprocal of the original slope. That will give you the slope of the new line. Then the intercept (in this case -2) stays the same.
