Question

What is the answer to the question?​

Answer 1

The value of x is 10.

Explanation:

BD =CD

Which means

5x - 10 = 3x + 10

Let's solve.

`5x - 10 = 3x + 10 \\ ( - 3x \: \: \: \: \: = - 3x \: \: \: \: \: )/(2x - 10 = 10) \\ \\ 2x - 10 = 10 \\ ( \: \: \: \: \: \: \: \: \: + 10 = + 10)/(2x = 20) \\ \\ (2x)/(2) = (20)/(2) \\ \\ x = 10`

Therefore, x = 10.

Answer 2

Explanation:

Since AD bisects BC,

BD = DC.

Therefore 5x - 10 = 3x + 10 and x = 10.