Solve for x in the equation 2x^2+3x-7=x^2+5x+39

Response:

Detailed explanation:

To determine the upper level value, you must resolve the equation "x + (2x + 40) + (3x – 50) = 15,002," yielding an answer of 2,502. To discover the values for the lower and middle floors, you need to apply the variable to different equations. The lower level has 50 fewer than three times the number of seats equal to x. To find the count of seats at the lower level, multiply 2,502 by 3 (7,506) and then subtract 50 (7,506 - 50 = 7456). The middle level consists of 40 more than twice the upper level's seats. To get the middle level's count, multiply 2,506 by 2 (5004), then add 40 ( 5004 + 40 = 5044).

When two straight lines cross, the vertically opposite angles created are equal, and the remaining two angles match each other as well. Suppose one known angle is x; then the two adjacent angles can be calculated by subtracting twice x from 360 degrees and dividing the remainder by 2.

Thus, the table fills out as follows:

Row 1:

Given angle <GEF = 120°

Angle <FEM is adjacent to <GEF, so


Angle <MEH is vertically opposite to <GEF, making it equal to 120°

Angle <HEG is vertically opposite <FEM, so it equals 60°.


Row 2:

Given angle <MEH = 150°

Since <MEH is vertically opposite to <GEF, <GEF = 150°

Angle <FEM is adjacent to <GEF, thus


Angle <HEG is vertically opposite to <FEM, so <HEG = 30°.


Row 3:

Given angle <FEM = 25°

Angle <FEM is adjacent to <GEF, thus


Angle <MEH is vertically opposite to <GEF, equal to 155°

Angle <HEG is vertically opposite <FEM, so it equals 25°.


Row 4:

Given angle <HEG = 45°

Angle <HEG is adjacent to <GEF, so


Angle <FEM is vertically opposite to <HEG and thus equals 45°

Angle <MEH is vertically opposite to <GEF, hence <MEH = 135°.

48,948 * 5% = 2447.4

I believe the simplest form remains 865:2678, although I could be mistaken.