Respuesta :

Answer:

I believe the answer would be 8 for line WE

For line QW the answer is 45 using the same method as the last quesiton

Step-by-step explanation:

This is because you would write

7x-13=15x-37

this would equal

x=3

Plug in the x value in line DW and FW and both equals 8

so logiically.I believe that line WE would equal 8.      

Answer:

  • WE = 8 units
  • QW = 45 units

Step-by-step explanation:

The incenter is the center of the largest circle that fits inside the triangle.

Property of the incenter- it is equidistant from the sides.

Question 3

As per property of the incenter we have:

  • DW = FW = EW

To find the measure of one side, first compare the equations and solve for x:

  • DW = FW
  • 7x - 13 = 15x - 37
  • 15x - 7x = 37 - 13
  • 8x = 24
  • x = 3

Find the measure of DW:

  • DW = 7x - 13 = 7*3 - 13 = 8 units

The measure of WE is same as DW:

  • WE = 8 units

Question 4

Same as previous question, the incenter is equidistant from the sides:

  • SW = WR = QW

Compare the equations and solve for x:

  • 5x = 2x + 18
  • 5x - 2x = 18
  • 2x = 18
  • x = 9

Find the measure of SW:

  • SW = 5x = 5*9 = 45 units

QW is same as SW:

  • QW = SW = 45 units