If DE is a perpendicular bisector find AE

Look at the picture.

By the definition of a perpendicular bisector, we can conclude that angle B is a right angle and DB=BE, and AB is a common line segment shared by both triangles above. Using SAS (Side-Angle-Side), we can conclude that both the triangles are congruent, therefore:

x

−

10

=

2

x

−

34

x

=

24

So now for AE:

24

−

10

=

14

Step-by-step explanation:

Part A: For every 1 cup of yellow paint, Garcia mixed 4 cups of red paint to make a shade of orange paint.   
Part B:  Garcia should add 1/4 cup of yellow paint to each cup of red paint to mix the same shade of orange.    
Part C: The unit price for each cup of red paint is $7.  6=$42, divide both sides by 6, 6/6=1, $42/6=$7, so 1 cup of red paint=$7.