Ineed with "equation practice with angles geometry" problem.

Step-by-step explanation:

The identical arc symbols on the two angles indicates the angles are congruent. Also, these are alternate interior angles where a transversal crosses lines marked as parallel, so they are congruent:

  ∠A = ∠B

  8x +78° = 2x +114° . . . . . substitute the given expressions

  6x = 36° . . . . . . . . . . . . . subtract 2x+78° from both sides

  x = 6° . . . . . . divide by 6

  ∠B = 2x +114° = 2·6° +114° . . . . . put the value of x into the expression

  ∠B = 126°

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

the answer is 62.8 cubic units