Answer:
9
Step-by-step explanation:
sorry if wrong
When there is a midpoint in a line segment, the two segments that are then produced have to be equal. So that means that because E is a midpoint of DF, DE=EF.
Set up the equation.
DE=EF
2x+4=3x+1
Then solve for x.
x=3
Then plug it back in the equation to find DE and EF.
DE=2x+4=2(3)+4=10
Because DE=EF then EF is also 10.
DF is made from the addition of DE and EF so DF is twice EF.
DF= 20
DE= 10, EF= 10, DF= 20
Hope this helps.
Answer:
a. Divide the figure into two rectangles, find the area of each rectangle and add them (See the picture attached).
b. 
c. The total area of the figure is 279 square inches.
Step-by-step explanation:
a. Divide the figure into two rectangles (See the picture attached), then find the area of each rectangle and finally, add the areas calculated in order to get the total area of the given figure,
b. The area of a rectangle can be found using this formula:

Where "l" is lenght and "w" is the width.
Area of Rectangle A
You can identify that:

Then, its area is:

Area of Rectangle B
You can identify that:

Then, its area is:

Total area

c. The total area of the figure is 279 square inches.
Answer:
Step-by-step explanation:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try!