It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
Answer:
481.92
Step-by-step explanation:
First find the increase
466.98 * 3.2%
466.98 * .032
14.94336
Add this to the original amount
466.98+14.94336
481.92336
Round to 2 decimal places
481.92
X^2 = 9x + 6
x^2 - 9x - 6 = 0
use quadratic formula : (-b (+-) sqrt b^2 - 4ac) / (2a)
a = 1, b = -9, c = -6
now we sub
x = (-(-9) (+-) sqrt -9^2 - 4(1)(-6)) / 2(1)
x = 9 (+-) sqrt 81 + 24)/2
x = 9 (+-) sqrt 105) / 2
x = 9/2 + 1/2 sqrt 105 or x = 9/2 - 1/2 sqrt 105
3(5x+2)=8x+20
15x+6=8x+20
15x-8x=20-6
7x=14
then you divide both sides by 2
The answer is 2.
Answer:
L = 2,
O = 31
Step-by-step explanation:
First using the givens, write out some formulas.
Heavy equipment operators = O
General laborers = L
- O + L = 33
- 138O + 87L = 4044
Now use substitution, it doesn't matter which one you substitute.
- O = -L +33
- 138( -L + 33 ) + 87L = 4044
Distribute and solve for L.
- -138L + 4554 + 87L = 4044
- -138L - 87L = 4044 - 4554
- -225L = -510
- L = -510/-225
- L = 2
L = 2, meaning number of laborers employed is 2.
Now plug 2 = L into one of the original equations.
- O + L = 33
- O + 2 = 33
- O = 33 - 2
- O = 31
O = 31, meaning number of heavy equip. operators employed is 31.
