Question

DE bisects AB at C. if AC=8x-3 and CB=4x+57. find the value of X and find the length of AC and CB

Answer 1

x = 15.

Explanation:

Given :

DE bisects AB at C. If AC =8x-23 and CB=3x+22.

To find :

Find X.

Solution :

We have given DE bisects AB at C.

Bisector :

A point which cut the line in to two equal parts.

A_____C_____B

AC = CB . ( C bisect AB)

Plug the values.

`8x - 3 = 4x + 57`.

On subtracting both sides by 3x

`8x - 3 - 4x = 57`.

`4x - 3 = 57`.

On adding both sides by 23.

`4x = 3 +57`.

`4x = 60`.

On dividing both sides by 5.

`x = 15`.

Therefore, x = 15.