Explanation:
The easiest way to do this is to make use of the 2-point form of the equation for a line. For points (x₁, y₁) and (x₂, y₂), the equation is ...
Filling in your given points, the equation becomes ...
After you fill in the values, it is a matter of simplifying the resulting equation.
Answer:
76°
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle
52° + 12x + 4 = 22x - 4
52 = 22x - 4 - 12x - 4
52 = 10x - 8 add 8 to both sides
60 = 10x divide both sides by 10
6 = x
The measure of angle F is 12x + 4, replace x with the value we found
m<F 12 × 6 + 4 = 76°
All of the start out with one and then add 2 from there and they add a block on top
-2x - 8 > -12
-2x - 8 + 2x > -12 + 2x ...... add 2x to both sides
-8 > -12 + 2x
-8+12 > -12+2x+12 .... add 12 to both sides
4 > 2x
2x < 4 ..... flip both sides so that the x term is on the left side
2x/2 < 4/2 .... divide both sides by 2
x < 2
This describes the set of x values such that x is less than 2.
The largest integer that x can be is x = 1. The value of x cannot be 2 because we don't have an "or equal to" as part of the inequality sign.
Final Answer: 1
