Answer:
The value of x that satisfies the equation (12x - 29) + (4x - 1) = 180 and makes the expressions represent the same side interior angle is
x = 13.125.
Explanation:
To determine the value of x when the expressions (12x - 29) and (4x - 1) represent the same side interior angle and their sum is equal to 180 degrees, we can set up an equation and solve for x.
The equation is:
(12x - 29) + (4x - 1) = 180
To solve this equation, we can simplify and combine like terms:
12x - 29 + 4x - 1 = 180
(12x + 4x) + (-29 - 1) = 180
16x - 30 = 180
Next, we isolate the variable x by adding 30 to both sides of the equation:
16x - 30 + 30 = 180 + 30
16x = 210
Finally, we solve for x by dividing both sides of the equation by 16:
16x / 16 = 210 / 16
x = 13.125
Therefore,
The value of x is 13.125.