Answer:

Step-by-step explanation:
move the terms with
to the left side of the equation:
add 3x to both sides

add 3x and 3x

move all term not containing
to the right side:
add 1 to both sides of the equation


divide each term by 6


simplify the fraction

Answer:
541.7 (m2)
Step-by-step explanation:
Applying the sine theorem:
WV/sin(X) = XV/sin(W)
=> WV = XV*sin(X)/sin(W) = 37*sin(50)/sin(63) = 31.81
Angle V = 180 - X - W = 180 - 50 - 63 = 67
Denote WH is a height of the triangle VWX, H lies on XV
=> WH = WV*sin(V) = 31.81*sin(67) = 29.28
=> Area of triangle VWX is calculated by:
S = side*height/2 = XV*WH/2 = 37*29.28/2 = 541.7 (m2)
Answer:
Plan A last 0.75 hours or 45 minutes.
Plan B last 1.5 hours or 90 minutes.
Step-by-step explanation:
Let
be the number of hours that the plan A last, an
the number of hours of plan B. Then for the Wednesday you have:

And for the Thursday is:

Multiply the equation of Wednesday by -3:

Using the method of addition using this last equation and the equation of Thursday

Replacing the value of
in one of the equations
