If b is between A and C, find the value of "x" and BC.
AB=3x,BC=5x,and AC=8
To find the value of "x" and BC, we can use the fact that b is between A and C. In other words, A-B-C.
From the given information, we have AB = 3x, BC = 5x, and AC = 8.
Since b is between A and C, the sum of AB and BC must be equal to AC:
AB + BC = AC
Substituting the given values, we get:
3x + 5x = 8
Combining like terms, we have:
8x = 8
To solve for x, we divide both sides of the equation by 8:
8x/8 = 8/8
x = 1
So, x = 1.
To find the value of BC, we substitute the value of x back into the equation for BC:
BC = 5x
BC = 5 * 1
BC = 5
Therefore, the value of x is 1 and BC is 5.
AB + BC = 8 = 8x
x = 1