wildcattt905peehbp
wildcattt905peehbp wildcattt905peehbp
  • 12-06-2021
  • Mathematics
contestada

Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.

Solve for the value of x in the diagram Show your work and explain the steps you used to solve class=

Respuesta :

wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 12-06-2021

Answer:

x = 20

Step-by-step explanation:

The triangles are similar

3          (3+5)

----- = ----------

12        (12+x)

Using cross products

3(12+x) = 12*(3+5)

3(12+x) = 12*8

3(12+x) = 96

Divide by 3

3(12+x)/3 = 96/3

12+x = 32

Subtract 12

12+x-12 =32-12

x = 32-12

x =20

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