I think using a computer software would be the best answer because it is then fair
A = (-3)
B = (0.5)
|AB| = |0.5 - (-3)| = |0.5 + 3| = |3.5| = 3.5
x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x =
= 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x =
= - 9
Division is repeated subtraction, just like multiplication is repeated addition. If you divide 50 by 10, you get 5. This is also the question: How many times do you have to subtract 10 from 50 to get 0?
The combined area of these three rooms is 189 ft².
Therefore we have the equation
4x + 3x + 2x = 189
9x = 189 |:9
x = 21 ft²
area of the kitchen = 4x = 4(21) = 84 ft²
area of the playroom = 3x = 3(21) = 63 ft²
area of the dinning room = 2x = 2(21) = 42 ft²