Please answer carefully.

BC = 21

Step-by-step explanation:

We know that AB + BC = AC

First we need to solve for x so using what we know lets set up the equation.

AB = 7x + 8

BC = 3x + 6

AC = 64

So (7x + 8) + (3x + 6) = 64

Combine like terms and solve.

10x + 14 = 64

10x = 50

x = 5

Now that we know that x = 5, to find the number for BC let's put that into the BC expression

3(5) + 6 = 21

There's your answer. BC = 21

Now if you really wanna make sure you can input the values we've found into the equation we first made.

AB + 21 = 64

7x + 8 + 21 = 64

7(5) + 8 +21 = 64

35 + 29 = 64

64 = 64

32

step-by-step explanation: