B is the midpoint of line Ac

AB=3x
AC=7x-5
How do I find what the value of BC is?

Since B is the midpoint, AB = BC
3x = 7x -5
4x = 5
x = 5/4

draw a pair of xy-axes on grath

draw a pair of ax-axes on graph paper,each scaled from -8 to 8.plot the points r(-5,2),c(-4,3),h(-1,4)and s(-3,1)and connect them to form a quadrilateral

To find the value of BC, we can substitute the value of x back into the equation AB = BC.

Since AB = 3x, we have AB = 3 * (5/4) = 15/4.

Therefore, BC = 15/4.

To find the value of BC, you need to first find the value of x.

Since B is the midpoint of AC, we know that AB is equal to BC.

So, we can set up an equation by equating the lengths of AB and BC:

AB = BC

Substituting the given values, we have:

3x = 7x - 5

Now, we can solve this equation for x.

Subtracting 3x from both sides, we get:

0 = 7x - 3x - 5

Combining like terms, we have:

0 = 4x - 5

Adding 5 to both sides, we get:

5 = 4x

Finally, dividing both sides by 4, we get:

x = 5/4

Now that we know the value of x, we can find the length of BC by substituting the value of x back into the equation:

BC = 3x

BC = 3 * (5/4)

BC = 15/4

Therefore, the value of BC is 15/4.