- 3x + 2x + 5 + 5x + 15 = 180 [angles on a line add to 180 degrees]
- 10x + 20 = 180 [combine like terms]
- 10x = 160 [subtract 20 from both sides]
- x = 16 [divide both sides by 10]
Arc AB measures 3(16) = 48 degrees.
Arc BC measures 2(16) + 5 = 41 degrees.
Perimeter is 2 times the length plus 2 times the width.
Area is length times width.
Perimeter = (2 x 20) + (2 x 15) = 40 + 30 = 70 inches.
Area = 20 x 15 = 300 square inches.
To find the number of solutions of a system of linear equations you need to identify the slope (m) in each equation:

-If the slope is the same in both lines the system has no solution
-If the slope is different in the lines the system has one solution
-If the equation are the same (incluided the value of b) the system has infinitely many solutions
You have the next equations:

Write the equations in slope-intercept form y=mx+b (solve for y).
First equation:

Second equation:

As the equations have the same slope m = -1, the system has no solution (the line doesn't cross each other)
We simply take the amount he needs no earn ($500) subtract what he gets for each sale ($50) and divide with the percentage he gets (2% = 0.02)
500-50 = 450
450/0.02 = 22500
The salesperson has to sell a car for $22500 in order to earn $500 himself
Substitute the x-value and see if you get the corresponding y-value. The corresponding y-value an x-value of 3 in this equation should be


Since the coordinate (3,32) does not represent that, it is a false solution