find the value of x and bc if b is between c and d
cb=4x-9 bd=3x+5 cd=17
To find the value of x and bc, you can use the fact that b is between c and d. In other words, the length of bc should be equal to the sum of lengths of cb and bd.
We are given:
cb = 4x - 9
bd = 3x + 5
cd = 17
Since b is between c and d, we know that bc + bd = cd.
Substituting the given values, we have:
(4x - 9) + (3x + 5) = 17
Now, let's solve this equation to find the value of x and subsequently bc.
Combining like terms:
4x - 9 + 3x + 5 = 17
7x - 4 = 17
Adding 4 to both sides:
7x = 21
Dividing both sides by 7:
x = 3
Now that we have found the value of x, we can substitute it back into the equation for bc to find its value.
bc = 4x - 9
bc = 4(3) - 9
bc = 12 - 9
bc = 3
Therefore, the value of x is 3 and bc is also 3.