Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Your answer is 250 yards you basically just subtract the numbers it gives you from the 294....
Answer:
1
Step-by-step explanation:
Rise/run
Solution: Estimated time for the work is 40 hour work week.
Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:
$1680
Estimated payment to 6 masons working 40 hours at cost $24 per hour is:
$5760
Estimated cost of material = $3143
Contractor wishes to make a profit of $500
Therefore, the mathematical expression that will give the estimated cost of the job is:

The estimated total cost is:
Cost =$11083
Use the slope formula

and plug in the values for x and y.