Respuesta :

By seeing the digram we came to know:

[tex]AC=BC+AB[/tex]

To find the value of x:

Step 1:

→[tex]52 = 6x + 4 + 4x + 8[/tex]

Step 2:

→[tex]52 = 10x + 12[/tex]

Step 3:

→[tex]10x = 52 - 12[/tex]

Step 4:

→[tex]10x = 40[/tex]

Step 6:

→[tex]x = \dfrac{40}{10} [/tex]

Step 7:

→[tex]x = 4[/tex]

To find value of BC:

Step 1:

•[tex]BC=6x+4[/tex]

Step 2:

•[tex] BC= 6 \times 4 + 4[/tex]

Step 3:

•[tex] BC= 24 + 4[/tex]

Step 4:

•[tex] BC= 28✓[/tex]